Professor Christopher Kellett
Conjoint Professor
School of Information and Physical Sciences (Electrical and Computer Engineering)
 Email:chris.kellett@newcastle.edu.au
 Phone:(02) 4921 6090
Career Summary
Biography
Prof. Kellett earned Bachelor of Science degrees in Electrical Engineering and Mathematics from the University of California Riverside in 1997, and the Master of Science and Doctor of Philosophy in Electrical and Computer Engineering from the University of California Santa Barbara in 2000 and 2002, respectively.
He subsequently held postdoctoral research positions at Ecole des Mines de Paris (France) in the Centre d'Automatique et Systemes, at the University of Melbourne (Australia) in the Department of Electrical and Electronic Engineering, and at the Hamilton Institute (Ireland), based at the National University of Ireland, Maynooth. Prof. Kellett joined the School of Electrical Engineering and Computing at the University of Newcastle in 2006. He has taught a range of subjects across electrical, computer, and telecommunications engineering as well as Carbon Accounting and Energy Auditing (ENGG3860) and CCL201x  International Climate Change Law and Policy available online via edX and cocoordinated with Dr. E. Aydos (U. Newcastle, Newcastle Law School) and A/Prof. S. Rudolph (Kyoto University). In 2020 Prof. Kellett moved to the Australian National University to take up the role of Director of the Research School of Electrical, Energy, and Materials Engineering, while maintaining a conjoint appointment at the University of Newcastle in the School of Mathematical and Physical Sciences.
From 20122016, Prof. Kellett was supported by an Australian Research Council Future Fellowship. He has been awarded the ViceChancellor's Award for Teaching Excellence in the Faculty of Engineering and the Built Environment (2011) and a Research Fellowship for Experienced Researchers from the Alexander von Humboldt Foundation (Germany, 20122013). In 2013 he was one of eight Australian researchers selected for the AustraliaJapan Emerging Research Leaders Exchange Program jointly sponsored by the Australian Academy of Technological Sciences and Engineering, the Engineering Academy of Japan, and the Japanese Society for the Promotion of Science.
In 2012, jointly with coauthors Dr. B. Rüffer (U. Newcastle), A/Prof. P. Dower (U. Melbourne), and Prof. S. Weller (U. Newcastle), Prof. Kellett received the IET Control Theory and its Applications Premium Award for the best paper published in the journal in 20102011. In 2017, jointly with coauthors Salman Hafeez (U. Newcastle) and Prof. S. Weller (U. Newcastle) he received the inaugural IFAC Foundation Award for demonstrating contributions of systems and control techniques in the area of sustainable development.
Prof. Kellett is an Associate Editor for the IEEE Transactions on Automatic Control, IEEE Control Systems Letters, and Mathematics of Control, Signals and Systems. He was previously an Associate Editor for the European Journal on Control (20132019) and was a member of the IEEE Control Systems Society Conference Editorial Board during 20072017. He has served on the International Program Committees for several IFAC (International Federation on Automatic Control) conferences.
Research Expertise
Prof. Kellett's research interests are broadly in areas referred to as mathematical systems theory, autonomous systems, control engineering, or (new) cybernetics, with a focus on analysis and design of nonlinear systems. He is particularly interested in stability and performance of nonlinear systems with applications in power networks, telecommunications, signal processing, social systems, and the economics of climate change.
Collaborations
Prof. Kellett has active research collaborations with academic colleagues in Europe, North America, Japan, and Australia. He is an international partner investigator on research projects funded by the German Science Foundation (DFG) and the Icelandic Research Fund (RANNIS). In addition to coauthoring over 100 peerreviewed scholarly articles, he has presented invited research seminars at over 30 universities and research institutions. He is currently an Honorary Research Fellow at the University of Melbourne and an International Senior Fellow at the University of Bayreuth (Germany).
Learned Societies
Prof. Kellett is a Fellow of the Australian Mathematical Society (AustMS), a Senior Member of the Institute of Electrical and Electronic Engineers (IEEE), a member of the Society for Industrial and Applied Mathematics (SIAM), and a member of the International Federation on Automatic Control Technical Committee on Nonlinear Control Systems.
Qualifications
 PhD, University of California, Santa Barbara  USA
 Bachelor of Science (Electrical Eng & Mathematics), University of California, Riverside  USA
 Master of Science (Electrical Eng & Computer Sc), University of California, Santa Barbara  USA
Keywords
 Control Theory
 Economics of Climate Change
 Nonlinear Systems
 Robust Control Systems
 Signals and Systems
 Social Systems
 Stability Theory
Professional Experience
Academic appointment
Dates  Title  Organisation / Department 

1/1/2012  8/1/2016  Fellow  ARC  University of Newcastle School of Electrical Engineering and Computing Australia 
Publications
For publications that are currently unpublished or inpress, details are shown in italics.
Book (2 outputs)
Year  Citation  Altmetrics  Link  

2021 
Braun P, Grüne L, Kellett CM, Preface (2021)


2021 
Braun P, Grüne L, Kellett CM, (In)Stability of Differential Inclusions Notions, Equivalences, and Lyapunovlike Characterizations, Springer Nature, Cham, Switzerland, 116 (2021) [A1]

Chapter (10 outputs)
Year  Citation  Altmetrics  Link  

2021 
Braun P, Grüne L, Kellett CM, 'Auxiliary Results', SpringerBriefs in Mathematics 101111 (2021) In this chapter we collect auxiliary results used in the main proofs of the manuscript. The chapter is split in two sections. In the first part, results on comparison functions ar... [more] In this chapter we collect auxiliary results used in the main proofs of the manuscript. The chapter is split in two sections. In the first part, results on comparison functions are derived. The results provide lower bounds used in the proofs in this monograph as counterparts to upper bounds contained in the literature. The second part collects known results used in Chap. 6.


2021 
Braun P, Grüne L, Kellett CM, 'Mathematical Setting and Motivation', SpringerBriefs in Mathematics 722 (2021) In this chapter we introduce the general setting in terms of differential inclusions and their solutions. Additionally, we recall stability notions for differential equations and ... [more] In this chapter we introduce the general setting in terms of differential inclusions and their solutions. Additionally, we recall stability notions for differential equations and corresponding Lyapunovlike characterizations. Since in the context of differential inclusions smooth control Lyapunov functions are not sufficient to describe weak stability properties, we use nonsmooth control Lyapunov functions in the Dini sense. Nonsmooth control Lyapunov functions of this form were introduced by Sontag in [63]. The Dini derivative as an extension of the directional derivative is discussed in the last part of this chapter.


2021 
Braun P, Grüne L, Kellett CM, 'Weak (In)stability of Differential Inclusions and Lyapunov Characterizations', SpringerBriefs in Mathematics 3754 (2021) In the preceding chapter we have discussed strong stability and strong instability results for differential inclusions where the term strong refers to all solutions of a different... [more] In the preceding chapter we have discussed strong stability and strong instability results for differential inclusions where the term strong refers to all solutions of a differential inclusion. In this chapter we discuss weak stability and weak instability results, where properties need to be satisfied for at least one solution instead of for all solutions. While the results from the last chapter allowed us to draw conclusions in terms of robustness, the results in this chapter guarantee stabilizability or destabilizability of the origin. In particular, in the context of a control system (2.8 ), weak stability guarantees the existence of an input u(· ) such that the origin can be reached asymptotically and weak instability describes the fact that it is possible to steer away from the origin by an appropriate selection of u(· ). In contrast to the last chapter where it turned out that strong stability in forward time is equivalent to strong instability in backward time, the same equivalence is not true for weak stability/instability results.


2018 
Baier R, Braun P, Grüne L, Kellett CM, 'Numerical construction of nonsmooth control lyapunov functions', Lecture Notes in Mathematics 343373 (2018) Lyapunov¿s second method is one of the most successful tools for analyzing stability properties of dynamical systems. If a control Lyapunov function is known, then asymptotic stab... [more] Lyapunov¿s second method is one of the most successful tools for analyzing stability properties of dynamical systems. If a control Lyapunov function is known, then asymptotic stabilizability of an equilibrium of the corresponding dynamical system can be concluded without the knowledge of an explicit solution of the dynamical system. Whereas necessary and sufficient conditions for the existence of nonsmooth control Lyapunov functions are known by now, constructive methods to generate control Lyapunov functions for given dynamical systems are not known up to the same extent. In this paper we build on previous work to compute (control) Lyapunov functions based on linear programming and mixed integer linear programming. In particular, we propose a mixed integer linear program based on a discretization of the state space where a continuous piecewise affine control Lyapunov function can be recovered from the solution of the optimization problem. Different to previous work, we incorporate a semiconcavity condition into the formulation of the optimization problem. Results of the proposed scheme are illustrated on the example of Artstein¿s circles and on a twodimensional system with two inputs. The underlying optimization problems are solved in Gurobi (2016, http://www.gurobi.com).


2018 
Kellett C, Aydos EDL, Rudolph S, Weller SR, 'The Social Cost of Carbon Dioxide: Policy and Methods for Pricing Greenhouse Gas Emissions', Our Changing World in the South Pacific: Australasian and German Perspectives, Australian Association of von Humboldt Fellows, Melbourne 316 (2018) [B1]


2017 
Braun P, Gruene L, Kellett CM, Weller SR, Worthmann K, 'Model Predictive Control of Residential Energy Systems Using Energy Storage & Controllable Loads', Progress in Industrial Mathematics at ECMI 2014, Springer, Switzerland 617623 (2017) [B1]


Show 7 more chapters 
Journal article (55 outputs)
Year  Citation  Altmetrics  Link  

2022 
Braun P, Giordano G, Kellett CM, Zaccarian L, 'An Asymmetric Stabilizer Based on Scheduling Shifted Coordinates for SingleInput Linear Systems with Asymmetric Saturation', IEEE Control Systems Letters, 6 746751 (2022) Starting from a symmetric statefeedback solution ensuring $\alpha $ exponential convergence in an ellipsoidal sublevel set, with asymmetric saturation and singleinput linear pl... [more] Starting from a symmetric statefeedback solution ensuring $\alpha $ exponential convergence in an ellipsoidal sublevel set, with asymmetric saturation and singleinput linear plants, we propose a novel asymmetric scheduled extension preserving the original symmetric solution in that sublevel set and extending the guaranteed stability region to the union of all possible contractive ellipsoids centered at a shifted equilibrium. Our design being based on the solution of a parametric optimization problem, we prove Lipschitz properties of the ensuing feedback law and we compute its explicit statefeedback expression.


2021 
Braun P, Kellett CM, Zaccarian L, 'Explicit Construction of Stabilizing Robust Avoidance Controllers for Linear Systems with Drift', IEEE Transactions on Automatic Control, 66 595610 (2021) [C1] We propose a constructive design method for linear systems with a nontrivial drift term, guaranteeing robust global asymptotic stability of the origin of the closedloop system, a... [more] We propose a constructive design method for linear systems with a nontrivial drift term, guaranteeing robust global asymptotic stability of the origin of the closedloop system, as well as robust obstacle avoidance. To obtain discontinuous input actions, our controller is designed in the framework of hybrid systems. Using our proposed hybrid controller, we demonstrate that solutions do not enter a sphere, which we term an avoidance neighborhood, around specified isolated points. The constructive controller design methodology, as well as the closedloop properties, is investigated via numerical examples.


2021 
Wang L, Kellett CM, 'Robust Output Feedback Stabilization of MIMO Invertible Nonlinear Systems with OutputDependent Multipliers', IEEE Transactions on Automatic Control, (2021) This note studies the robust output feedback stabilization problem of multiinput multioutput invertible nonlinear systems with outputdependent multipliers. An "ideal"... [more] This note studies the robust output feedback stabilization problem of multiinput multioutput invertible nonlinear systems with outputdependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then, a set of extended lowpower highgain observers is systematically designed, providing a complete estimation of the "ideal" feedback law. This yields a robust output feedback stabilizer such that the origin of the closedloop system is semiglobally asymptotically stable, while improving the numerical implementation with the power of highgain parameters up to 2.


2021 
Faulwasser T, Kellett CM, 'On continuoustime infinite horizon optimal control Dissipativity, stability, and transversality', Automatica, 134 (2021) This paper analyzes the interplay between dissipativity and stability properties in continuoustime infinitehorizon Optimal Control Problems (OCPs). We establish several relation... [more] This paper analyzes the interplay between dissipativity and stability properties in continuoustime infinitehorizon Optimal Control Problems (OCPs). We establish several relations between these properties, which culminate in a set of equivalence conditions. Moreover, we investigate convergence and stability of the infinitehorizon optimal adjoint trajectories. The workhorse for our investigations is a notion of strict dissipativity in OCPs, which has been coined in the context of economic model predictive control. With respect to the link between stability and dissipativity, the present paper can be seen as an extension of the seminal work on least squares optimal control by Jan C. Willems (1971). Furthermore, we show that strict dissipativity provides a conclusive answer to the question of adjoint transversality conditions in infinitehorizon optimal control which has been raised by Hubert Halkin (1974). Put differently, we establish conditions under which the adjoints converge to their optimal steadystate value. We draw upon several examples to illustrate our findings. Moreover, we discuss the relation of our findings to results available in the literature.


2020 
Gruene L, Mueller MA, Kellett CM, Weller SR, 'STRICT DISSIPATIVITY FOR DISCRETE TIME DISCOUNTED OPTIMAL CONTROL PROBLEMS', MATHEMATICAL CONTROL AND RELATED FIELDS, 11 771796 (2020) [C1]


2020 
Braun P, Grune L, Kellett CM, Weller SR, Worthmann K, 'Towards pricebased predictive control of a smallscale electricity network', International Journal of Control, 93 4061 (2020) [C1]


2020 
Wang L, Kellett CM, 'Adaptive Semiglobal Nonlinear Output Regulation: An ExtendedState Observer Approach', IEEE Transactions on Automatic Control, 65 26702677 (2020) [C1]


2019 
Tran DN, Ruffer BS, Kellett CM, 'Convergence Properties for Discretetime Nonlinear Systems', IEEE Transactions on Automatic Control, 64 34153422 (2019) [C1]


2019 
Kellett CM, Weller SR, Faulwasser T, Grüne L, Semmler W, 'Feedback, dynamics, and optimal control in climate economics', Annual Reviews in Control, 47 720 (2019) [C1]


2019 
Ito H, Kellett CM, 'A smallgain theorem in the absence of strong iISS', IEEE Transactions on Automatic Control, 64 38973904 (2019) [C1]


2018 
Gaitsgory V, Grüne L, Höger M, Kellett C, Weller SR, 'Stabilization of strictly dissipative discrete time systems with discounted optimal control', Automatica, 93 311320 (2018) [C1]


2018 
Braun P, Faulwasser T, Grüne L, Kellett CM, Weller SR, Worthmann K, 'Hierarchical distributed ADMM for predictive control with applications in power networks', IFAC Journal of Systems and Control, 3 1022 (2018) [C1]


2017 
Kellett CM, Dower PM, Ito H, 'Relationships Between Subclasses of Integral InputtoState Stability', IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 62 24762482 (2017) [C1]


2017 
Ratnam EL, Weller SR, Kellett CM, Murray AT, 'Residential load and rooftop PV generation: an Australian distribution network dataset', International Journal of Sustainable Energy, 36 787806 (2017) [C1]


2017 
Tran DN, Kellett CM, Dower PM, 'Qualitative equivalences of ISS and l(p)gain stability properties for discretetime nonlinear systems', AUTOMATICA, 77 360369 (2017) [C1]


2017 
Grüne L, Kellett CM, Weller SR, 'On the relation between turnpike properties for finite and infinite horizon optimal control problems', Journal of Optimization Theory and Applications, 173 727745 (2017) [C1]


2016 
Kellett CM, Wirth FR, 'Nonlinear Scaling of (i)ISSLyapunov Functions', IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61 10871092 (2016) [C1]


2016 
Hafstein SF, Kellett CM, Li H, 'Computing continuous and piecewise affine lyapunov functions for nonlinear systems', Journal of Computational Dynamics, 2 227246 (2016) [C1]


2016 
Kellett CM, Dower PM, 'InputtoState Stability, Integral InputtoState Stability, and L2Gain Properties: Qualitative Equivalences and Interconnected Systems', IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61 317 (2016) [C1]


2016 
Braun P, Grüne L, Kellett CM, Weller SR, Worthmann K, 'A Distributed Optimization Algorithm for the Predictive Control of Smart Grids', IEEE Transactions on Automatic Control, 61 38983911 (2016) [C1]


2016 
Ito H, Kellett CM, 'iISS and ISS dissipation inequalities: preservation and interconnection by scaling', Mathematics of Control, Signals, and Systems, 28 (2016) [C1] In analysis and design of nonlinear dynamical systems, (nonlinear) scaling of Lyapunov functions has been a central idea. This paper proposes a set of tools to make use of such sc... [more] In analysis and design of nonlinear dynamical systems, (nonlinear) scaling of Lyapunov functions has been a central idea. This paper proposes a set of tools to make use of such scalings and illustrates their benefits in constructing Lyapunov functions for interconnected nonlinear systems. First, the essence of some scaling techniques used extensively in the literature is reformulated in view of preservation of dissipation inequalities of integral inputtostate stability (iISS) and inputtostate stability (ISS). The iISS smallgain theorem is revisited from this viewpoint. Preservation of ISS dissipation inequalities is shown to not always be necessary, while preserving iISS which is weaker than ISS is convenient. By establishing relationships between the Legendre¿Fenchel transform and the reformulated scaling techniques, this paper proposes a way to construct less complicated Lyapunov functions for interconnected systems.


2016 
Ratnam EL, Weller SR, Kellett CM, 'Central versus localized optimizationbased approaches to power management in distribution networks with residential battery storage', International Journal of Electrical Power & Energy Systems, 80 396406 (2016) [C1]


2015 
Lens D, Faulwasser T, Kellett CM, 'Towards model predictive control of longitudinal beam dynamics in synchrotrons', AtAutomatisierungstechnik, 63 621632 (2015) [C1] Hadron synchrotrons accelerate protons and heavy ions to very high energies. The stabilization of the longitudinal beam dynamics in these particle accelerators is a demanding cont... [more] Hadron synchrotrons accelerate protons and heavy ions to very high energies. The stabilization of the longitudinal beam dynamics in these particle accelerators is a demanding control problemsince typical sample times of the beamfeedback loop are on the order of several ìs to several hundred ns. This work examines if model predictive control is a suitable candidate for longitudinal beam feedback in synchrotrons. We show that, by combining an appropriate problem formulation with efficient numerical algorithms, the optimization problem can be solved sufficiently fast on a highend FPGA. Realistic simulations for the synchrotron SIS18 of the GSI Helmholtz Center for HeavyIon Research illustrate that the proposed control scheme can lead to a significant improvement of the control performance.


2015 
Ratnam EL, Weller SR, Kellett CM, 'Scheduling residential battery storage with solar PV: Assessing the benefits of net metering', Applied Energy, 155 881891 (2015) [C1] In this paper we propose a linear program (LP)based algorithm to schedule battery storage colocated with residential solar photovoltaics (PV), when excess generation is compensa... [more] In this paper we propose a linear program (LP)based algorithm to schedule battery storage colocated with residential solar photovoltaics (PV), when excess generation is compensated via net metering. While the objective of this LPbased approach is to maximize the operational savings that accrue to customers, an undesirable consequence to the utility is reverse power flow during the peak pricing period. We show in this paper that it is possible to balance the objective of the utility in limiting reverse power flow, with the customer objective of increasing operational savings, in the context of net metering. To balance the specified utility and customer objectives we employ a quadratic program (QP)based algorithm, which explicitly penalizes reverse power flow. To complete our assessment of net metering, both the LPbased and QPbased scheduling algorithms are applied to measured load and generation data from 145 residential customers located in an Australian distribution network. The results of this case study confirm the absence of reverse power flow when all customers employ a QPbased battery schedule, with the majority of customers exhibiting operational savings.


2015 
Ratnam EL, Weller SR, Kellett CM, 'An optimizationbased approach to scheduling residential battery storage with solar PV: Assessing customer benefit', Renewable Energy, 75 123134 (2015) [C1] Several studies have suggested that battery storage colocated with solar photovoltaics (PV) benefits electricity distributors in maintaining system voltages within acceptable lim... [more] Several studies have suggested that battery storage colocated with solar photovoltaics (PV) benefits electricity distributors in maintaining system voltages within acceptable limits. However, without careful coordination, these potential benefits might not be realized. In this paper we propose an optimizationbased algorithm for the scheduling of residential battery storage colocated with solar PV, in the context of PV incentives such as feedin tariffs. Our objective is to maximize the daily operational savings that accrue to customers, while penalizing large voltage swings stemming from reverse power flow and peak load. To achieve this objective we present a quadratic program (QP)based algorithm. To complete our assessment of the customer benefit, the QPbased scheduling algorithm is applied to measured load and generation data from 145 residential customers located in an Australian distribution network. The results of this case study confirm the QPbased scheduling algorithm significantly penalizes reverse power flow and peak loads corresponding to peak timeofuse billing. In the context of feedin tariffs, the majority of customers exhibited operational savings when QP energyshifting.


2015 
Björnsson J, Giesl P, Hafstein SF, Kellett CM, 'Computation of Lyapunov functions for systems with multiple local attractors', Discrete and Continuous Dynamical Systems Series A, 35 40194039 (2015) [C1] We present a novel method to compute Lyapunov functions for continuoustime systems with multiple local attractors. In the proposed method one first computes an outer approximatio... [more] We present a novel method to compute Lyapunov functions for continuoustime systems with multiple local attractors. In the proposed method one first computes an outer approximation of the local attractors using a graphtheoretic approach. Then a candidate Lyapunov function is computed using a Masseralike construction adapted to multiple local attractors. In the final step this candidate Lyapunov function is interpolated over the simplices of a simplicial complex and, by checking certain inequalities at the vertices of the complex, we can identify the region in which the Lyapunov function is decreasing along system trajectories. The resulting Lyapunov function gives information on the qualitative behavior of the dynamics, including lower bounds on the basins of attraction of the individual local attractors. We develop the theory in detail and present numerical examples demonstrating the applicability of our method.


2015 
Li H, Hafstein S, Kellett CM, 'Computation of continuous and piecewise affine Lyapunov functions for discretetime systems', JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 21 486511 (2015) [C1]


2015 
Worthmann K, Kellett CM, Braun P, Grune L, Weller SR, 'Distributed and decentralized control of residential energy systems incorporating battery storage', IEEE Transactions on Smart Grid, 6 19141923 (2015) [C1]


2015 
Kellett CM, 'Classical converse theorems in Lyapunov's second method', Discrete and Continuous Dynamical Systems  Series B, 20 23332360 (2015) [C1] Lyapunov's second or direct method is one of the most widely used techniques for investigating stability properties of dynamical systems. This technique makes use of an auxil... [more] Lyapunov's second or direct method is one of the most widely used techniques for investigating stability properties of dynamical systems. This technique makes use of an auxiliary function, called a Lyapunov function, to ascertain stability properties for a specific system without the need to generate system solutions. An important question is the converse or reversability of Lyapunov's second method; i.e., given a specific stability property does there exist an appropriate Lyapunov function? We survey some of the available answers to this question.


2014 
Grune L, Kellett CM, 'ISSlyapunov functions for discontinuous discretetime systems', IEEE Transactions on Automatic Control, 59 30983103 (2014) [C1] InputtoState Stability (ISS) and the ISSLyapunov function are useful tools for the analysis and design of nonlinear systems. Motivated by the fact that many feedback control la... [more] InputtoState Stability (ISS) and the ISSLyapunov function are useful tools for the analysis and design of nonlinear systems. Motivated by the fact that many feedback control laws, such as model predictive or eventbased control, lead to discontinuous discretetime dynamics, we investigate ISSLyapunov functions for such systems. ISSLyapunov functions were originally introduced in a socalled implicationform and, in many cases, this has been shown to be equivalent to an ISSLyapunov function of dissipativeform. However, for discontinuous dynamics, we demonstrate via an example that this equivalence no longer holds. We therefore propose a stronger implicationform ISSLyapunov function and provide a complete characterization of ISSLyapunov functions for discretetime systems with discontinuous dynamics.


2014 
Kellett CM, 'A compendium of comparison function results', Mathematics of Control, Signals, and Systems, (2014) [C1] The use of comparison functions has become standard in systems and control theory, particularly for the purposes of studying stability properties. The use of these functions typic... [more] The use of comparison functions has become standard in systems and control theory, particularly for the purposes of studying stability properties. The use of these functions typically allows elegant and succinct statements of stability properties such as asymptotic stability and inputtostate stability and its several variants. Furthermore, over the last 20 years several inequalities involving these comparison functions have been developed that simplify their manipulation in the service of proving more significant results. Many of these inequalities have appeared in the body of proofs or in appendices of various papers. Our goal herein is to collect these inequalities in one place. © 2014 The Author(s).


2014 
Ong L, Johnson SJ, Kellett CM, 'On the capacity of the binarysymmetric parallelrelay network', TRANSACTIONS ON EMERGING TELECOMMUNICATIONS TECHNOLOGIES, 25 217230 (2014) [C1]


2013 
Ong L, Lechner G, Johnson SJ, Kellett CM, 'The ThreeUser FiniteField MultiWay Relay Channel with Correlated Sources', IEEE TRANSACTIONS ON COMMUNICATIONS, 61 31253135 (2013) [C1]


2012 
Kellett CM, 'A projectbased learning approach to programmable logic design and computer architecture', IEEE Transactions on Education, 55 378383 (2012) [C1]


2012 
Ong LL, Kellett CM, Johnson SJ, 'On the equalrate capacity of the AWGN multiway relay channel', IEEE Transactions on Information Theory, 58 57615769 (2012) [C1]


2012 
Ong LL, Johnson SJ, Kellett CM, 'The halfduplex AWGN singlerelay channel: Full decoding or partial decoding?', IEEE Transactions on Communications, 60 31563160 (2012) [C1]


2012 
Dower PM, Zhang H, Kellett CM, 'Nonlinear L2gain verification for nonlinear systems', Systems & Control Letters, 61 563572 (2012) [C1]


2011 
Ong LL, Johnson SJ, Kellett CM, 'The capacity region of multiway relay channels over finite fields with full data exchange', IEEE Transactions on Information Theory, 57 30163031 (2011) [C1]


2011 
Johnson SJ, Ong LL, Kellett CM, 'Joint channelnetwork coding strategies for networks with lowcomplexity relays', European Transactions on Telecommunications, 22 396406 (2011) [C1]


2010 
Rüffer BS, Kellett CM, Dower PM, Weller SR, 'Belief propagation as a dynamical system: The linear case and open problems', IET Control Theory and Applications, 4 11881200 (2010) [C1]


2010 
Ruffer BS, Kellett CM, Weller SR, 'Connection between cooperative positive systems and integral inputtostate stability of largescale systems', Automatica, 46 10191027 (2010) [C1]


2010 
Ong LL, Johnson SJ, Kellett CM, 'An optimal coding strategy for the binary multiway relay channel', IEEE Communications Letters, 14 330332 (2010) [C1]


2008 
Kellett CM, Weller SR, 'Bifurcations in iterative decoding and root locus plots', IET Control Theory and Applications, 2 10861093 (2008) [C1]


2007 
Kellett CM, Teel AR, 'Sufficient conditions for robustness of KLstability for difference inclusions', Mathematics of Control Signals and Systems, 19 183205 (2007) [C1]


2007 
Leith DJ, Kellett C, Clifford P, Epperlein J, Shorten RN, 'A noninvasive method for link upgrade planning using coarsegrained measurements', IEEE COMMUNICATIONS LETTERS, 11 10371039 (2007) [C1]


2007 
Shorten RN, Kellett CM, Leith DJ, 'On the dynamics of TCP's higher moments', IEEE Communications Letters, 11 210212 (2007) [C1]


2007 
Kellett CM, Middleton RH, Shorten RN, 'On AIMD congestion control in multiple bottleneck networks', IEEE Communications Letters, 11 631633 (2007) [C1]


2006 
Stanojevic R, Shorten RN, Kellett CM, 'Adaptive tuning of droptail buffers for reducing queueing delays', IEEE COMMUNICATIONS LETTERS, 10 570572 (2006) [C1]


2005 
Kellett CM, Teel AR, 'On the robustness of KLstability for difference inclusions: Smooth discretetime Lyapunov functions', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44 777800 (2005) [C1]


2004 
Kellett CM, Shim H, Teel AR, 'Further results on robustness of (Possibly discontinuous) sample and hold feedback', IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 49 10811089 (2004) [C1]


2004 
Kellett CM, Teel AR, 'Discretetime asymptotic controllability implies smooth controlLyapunov function', SYSTEMS & CONTROL LETTERS, 52 349359 (2004) [C1]


2004 
Kellett CM, Teel AR, 'Smooth Lyapunov functions and robustness of stability for difference inclusions', SYSTEMS & CONTROL LETTERS, 52 395405 (2004) [C1]


2004 
Kellett CM, Teel AR, 'Weak converse Lyapunov theorems and controlLyapunov functions', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 42 19341959 (2004) [C1]


Show 52 more journal articles 
Conference (77 outputs)
Year  Citation  Altmetrics  Link  

2020 
Wang L, Marconi L, Kellett CM, 'Robust Regulator Design of General Linear Systems with Sampled Measurements', IFAC PAPERSONLINE, ELECTR NETWORK (2020)


2019 
Wang L, Kellett CM, 'Adaptive Tracking Control via Immersion and Invariance: An (i)ISS Perspective', Proceedings of the IEEE Conference on Decision and Control, Nice, France (2019) [E1]


2019 
Braun P, Kellett CM, Zaccarian L, 'Complete control Lyapunov functions: Stability under state constraints', IFAC PAPERSONLINE, Tech Univ Wien, Vienna, AUSTRIA (2019) [E1]


2019 
Baier R, Braun P, Gruene L, Kellett CM, 'Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation', IFAC PAPERSONLINE, Tech Univ Wien, Vienna, AUSTRIA (2019) [E1]


2019 
Wang L, Kellett CM, 'Adaptive Nonlinear Regulator Design via Immersion and Invariance', IFAC PAPERSONLINE, Tech Univ Wien, Vienna, AUSTRIA (2019) [E1]


2019 
Braun P, Kellett CM, Zaccarian L, 'Uniting control laws: On obstacle avoidance and global stabilization of underactuated linear systems', Proceedings of the IEEE Conference on Decision and Control, Nice, France (2019) [E1]


2018 
Faulwasser T, Kellett CM, Weller SR, 'MPCDICE: An opensource Matlab implementation of receding horizon solutions to DICE


2018 
Faulwasser T, Nydestedt R, Kellett CM, Weller SR, 'Towards a FAIRDICE IAM: Combining DICE and FAIR Models*', IFACPapersOnLine, Brescia, Italy (2018) [E1]


2017 
Hafeez S, Weller SR, Kellett CM, 'Impact of climate model parametric uncertainty in an MPC implementation of the DICE integrated assessment model', IFAC Proceedings Volumes (IFACPapersOnline), Toulouse, France (2017) [E1]


2017 
Braun P, Kellett CM, Grüne L, 'Feedback design using nonsmooth control Lyapunov functions: A numerical case study for the nonholonomic integrator', 2017 IEEE 56th Annual Conference on Decision and Control (CDC), Melbourne, Australia (2017) [E1]


2017 
Ito H, Kellett CM, 'A New Formulation of SmallGain Theorem without Imposing Strong iISS with respect to Disturbances on Components', 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), Melbourne, AUSTRALIA (2017) [E1]


2016 
Tran DN, Rüffer BS, Kellett CM, 'Incremental stability properties for discretetime systems', 2016 IEEE 55th Conference on Decision and Control, CDC 2016, Las Vegas, USA (2016) [E1]


2016 
Braun P, Faulwasser T, Grune L, Kellett CM, Weller SR, Worthmann K, 'Maximal islanding time for microgrids via distributed predictive control', 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, MN, USA (2016) [E1]


2016 
Hafeez S, Weller SR, Kellett C, 'Transient climate response in the DICE integrated assessment model
of climate economy', 2016 Australian Control Conference (AuCC), Newcastle, Australia (2016) [E1]


2016 
Tran DN, Kellett CM, Dower PM, 'Analysis of discretetime nonlinear l2gain bounds via dynamic programming', 2016 Australian Control Conference, AuCC 2016, Newcastle, NSW (2016) [E1]


2016 
Grüne L, Kellett CM, Weller SR, 'On a discounted notion of strict dissipativity', IFAC Proceedings Volumes (IFACPapersOnline), Monterey, California, USA (2016) [E1]


2015 
Tran DN, Kellett CM, Dower PM, 'Inputtostate stability with respect to two measurement functions: Discretetime systems', Proceedings of the IEEE Conference on Decision and Control (2015) [E1] Inputtostate stability (ISS) with respect to two measurement functions subsumes many ISStype properties such as inputtooutput stability (IOS) and stateindependent inputtoo... [more] Inputtostate stability (ISS) with respect to two measurement functions subsumes many ISStype properties such as inputtooutput stability (IOS) and stateindependent inputtooutput stability (SIIOS). It also subsumes a version of incremental ISS. In this paper, we develop the notion of ISS with respect to two measurement functions for discretetime systems and highlight the importance of commensurability of the two measurement functions and compactness of the zero set of the lower measurement function. Of particular interest, we show that the obvious extension of an implicationform ISSLyapunov function does not imply ISS with respect to two measurement functions.


2015 
Weller SR, Hafeez S, Kellett CM, 'Feasibility of 2 °C as a post2020 warming threshold via inputconstrained optimal control', 2015 IEEE Conference on Control Applications (CCA), Sydney, Australia (2015) [E1]


2015 
Braun P, Gruene L, Kellett CM, Weller SR, Worthmann K, 'A realtime pricing scheme for residential energy systems using a market maker', 2015 5th Australian Control Conference (AUCC), Gold Coast, Australia (2015) [E1]


2015 
Hafeez S, Weller SR, Kellett CM, 'Steadystate and transient dynamic behavior of simple climate models for application in integrated assessment models', 2015 5th Australian Control Conference (AUCC), Gold Coast, Qld (2015) [E1]


2015 
Ratnam E, Weller SR, Kellett CM, 'Assessing the benefits of net metering with residential battery storage', Proceedings 3rd ASEAN Australian Engineering Congress (AAEC 2015), Singapore (2015) [E2]


2015 
Weller SR, Hafeez S, Kellett CM, 'Estimates of the social cost of carbon using climate models derived from the CMIP3 ensemble', 3rd ASEAN Australian Engineering Congress (AAEC 2015) : Australian Engineering Congress on Innovative Technologies for Sustainable Development and Renewable Energy, Singapore (2015) [E2]


2015 
Tofighi E, Faulwasser T, Kellett CM, 'Nonlinear model predictive control approach for structural load mitigation of wind turbines in presence of wind measurement uncertainties', 2015 Australian Control Conference, AUCC 2015 (2015) [E1] In this paper the design of nonlinear model predictive control (NMPC) for multimega watt wind turbines is addressed. In an attempt to minimize energy production costs, we propose... [more] In this paper the design of nonlinear model predictive control (NMPC) for multimega watt wind turbines is addressed. In an attempt to minimize energy production costs, we propose an NMPC scheme to maximize the wind energy harvest while mitigating structural loads. The proposed controller relies on noisy lookahead wind field information obtained via LIDAR measurements. By means of simulations we demonstrate the advantages of the proposed NMPC approach.


2015 
Tran DN, Kellett CM, Dower PM, 'A discretetime strong implicationform Lyapunov function for ISS systems with respect to positive semidefinite measurement functions', 2015 Australian Control Conference, AUCC 2015 (2015) [E1] In this paper, we study the notion of ISS with respect to two measurement functions for discretetime systems. An example in previous work shows that, in the two measurement funct... [more] In this paper, we study the notion of ISS with respect to two measurement functions for discretetime systems. An example in previous work shows that, in the two measurement function case, the existence of an implicationform ISSLyapunov function does not imply ISS. Here, we define a "strong" ISSLyapunov function and demonstrate that its existence is equivalent to ISS with respect to two measurement functions.


2015 
Dower PM, Kellett CM, 'A smallgain feedback interconnection for bilinear systems', 2015 Australian Control Conference, AUCC 2015 (2015) [E1] Recently it has been shown that general bilinear systems satisfy a nonlinear L2gain property, which is a qualitatively equivalent special case of the more general integral input... [more] Recently it has been shown that general bilinear systems satisfy a nonlinear L2gain property, which is a qualitatively equivalent special case of the more general integral inputtostate stability (iISS) property. By exploiting a smallgain theorem that attends this nonlinear L2gain property, a nontrivial example of a feedback interconnection for general bilinear systems is constructed that preserves this nonlinear L2gain property, and hence iISS, in closed loop. 

2015 
Ito H, Kellett CM, 'Preservation and interconnection of iISS and ISS dissipation inequalities by scaling', IFAC Proceedings Volumes (IFACPapersOnline) (2015) [E1] Scaling of Lyapunov functions has been a central tool in analysis and design of nonlinear systems. In this paper, the essence of some scaling techniques used extensively in the li... [more] Scaling of Lyapunov functions has been a central tool in analysis and design of nonlinear systems. In this paper, the essence of some scaling techniques used extensively in the literature is reformulated in view of preservation of dissipation inequalities of integral inputtostate stability (iISS) and inputtostate stability (ISS). The iISS smallgain theorem is revisited from this viewpoint. Preservation of ISS dissipation inequalities is shown to not always be necessary, while preserving iISS which is weaker than ISS is convenient. By establishing relationships between the LegendreFenchel transform and the reformulated scaling techniques, this paper proposes a way to construct less complicated Lyapunov functions for interconnected systems.


2015 
Weller SR, Hafeez S, Kellett CM, 'A receding horizon control approach to estimating the social cost of carbon in the presence of emissions and temperature uncertainty', 2015 IEEE 54th Annual Conference on Decision and Control (CDC), Osaka, Japan (2015) [E1]


2015 
Tran DN, Kellett CM, Dower PM, 'Equivalences of stability properties for discretetime nonlinear systems', IFAC Proceedings Volumes (IFACPapersOnline) (2015) [E1] Several qualitative equivalences are demonstrated between various robust stability properties for discretetime nonlinear systems. In particular, two different summationtosumm... [more] Several qualitative equivalences are demonstrated between various robust stability properties for discretetime nonlinear systems. In particular, two different summationtosummation estimates are shown to be equivalent to the standard definitions of InputtoState Stability (ISS) and integral ISS (iISS), respectively. Furthermore, ISS and iISS are shown to be qualitatively equivalent, via a nonlinear change of coordinates, to linear and nonlinear l2gain properties, respectively. These equivalences, together with a previous result on the equivalence of 0input global asymptotic stability and iISS provide interesting relationships between discretetime robust stability properties that do not hold in continuoustime.


2015 
Braun P, Gruene L, Kellett CM, Weller SR, Worthmann K, 'Predictive control of a smart grid: A distributed optimization algorithm with centralized performance properties', 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan (2015) [E1]


2015 
Tofighi E, Schlipf D, Kellett CM, IEEE, 'Nonlinear Model Predictive Controller Design for Extreme Load Mitigation in Transition Operation Region in Wind Turbines', 2015 IEEE CONFERENCE ON CONTROL AND APPLICATIONS (CCA 2015) (2015) [E1]


2014 
Ong L, Johnson SJ, Kellett CM, 'Optimal coding functions for pairwise message sharing on finitefield multiway relay channels', 2014 IEEE International Conference on Communications, ICC 2014 (2014) [E1] This paper considers the finitefield multiway relay channel with pairwise message sharing, where multiple users exchange messages through a single relay and where the users may ... [more] This paper considers the finitefield multiway relay channel with pairwise message sharing, where multiple users exchange messages through a single relay and where the users may share parts of their source messages (meaning that some message parts are known/common to more than one user). In this paper, we design an optimal functionaldecodeforward coding scheme that takes the shared messages into account. More specifically, we design an optimal function for the relay to decode (from the users on the uplink) and forward (back to the users on the downlink). We then show that this proposed functiondecodeforward coding scheme can achieve the capacity region of the finitefield multiway relay channel with pairwise message sharing. This paper generalizes our previous result for the case of three users to any number of users. © 2014 IEEE.


2014 
Worthmann K, Kellett CM, Gruene L, Weller SR, 'Distributed control of residential energy systems using a market maker', Proceedings of the 19th IFAC World Congress, 2014, Cape Town, South Africa (2014) [E1]


2014  Grune L, Kellett CM, 'Strong ImplicationForm ISSLyapunov Functions for Discontinuous DiscreteTime Systems', Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, The Netherlands (2014) [E1]  
2014 
Ninness B, Tran KT, Kellett CM, 'Bayesian Dynamic System Estimation', Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, California, USA (2014) [E1]


2014 
Li H, Hafstein S, Kellett CM, 'Computation of Lyapunov Functions for DiscreteTime Systems using the Yoshizawa Construction', Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, California, USA (2014) [E1]


2014 
Bjornsson J, Giesl P, Hafstein S, Kellett CM, 'Computation of Continuous and Piecewise Affine Lyapunov Functions by Numerical Approximations of the Massera Construction', Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, California, USA (2014) [E1]


2014 
Dower PM, Kellett CM, 'Nonlinear Systems with Nonlinear L2gain', Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, California, USA (2014) [E1]


2014 
Faulwasser T, Lens D, Kellett CM, 'OffsetFree Output Feedback Predictive Control for Longitudinal Beam Dynamics in Heavy Ion Synchrotrons', Proceedings of the 2014 Australian Control Conference, Canberra, Australia (2014) [E1]


2014 
Dower PM, Kellett CM, 'Nonlinear L2gain Verification for Bilinear Systems', Proceedings of the 2014 Australian Control Conference, Canberra, Australia (2014) [E1]


2014 
Faulwasser T, Lens D, Kellett CM, 'Predictive control for longitudinal beam dynamics in heavy ion synchrotrons', 2014 IEEE Conference on Control Applications, CCA. Part of 2014 IEEE Multiconference on Systems and Control, MSC 2014 (2014) [E1] We present a design of a predictive control scheme for longitudinal beam dynamics in heavy ion synchrotrons. Specifically, we consider a linearquadratic model predictive control ... [more] We present a design of a predictive control scheme for longitudinal beam dynamics in heavy ion synchrotrons. Specifically, we consider a linearquadratic model predictive control (MPC) approach, whereby the quadratic program is solved via a fast gradient method. Furthermore, we investigate whether the fast gradient method allows for realtime feasible implementation of the proposed approach on a field programmable gate array (FPGA). Our results indicate that sampling rates in the order of 1MHz are achievable.


2014 
Hafstein S, Kellett CM, Li H, 'Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction', Proceedings of the 2014 American Control Conference, Portland, Oregon (2014) [E1]


2014 
Worthmann K, Kellett CM, Gruene L, Weller SR, 'Distributed Control of Residential Energy Systems using a Market Maker', IFAC PAPERSONLINE, Cape Town, SOUTH AFRICA (2014)


2013 
Kellett CM, Wirth FR, Dower PM, 'Inputtostate stability, integral inputtostate stability, and unbounded level sets', Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems, Toulouse, France (2013) [E1]


2013 
Ratnam EL, Weller SR, Kellett CM, 'An OptimizationBased Approach for Assessing the Benefits of Residential Battery Storage and Solar PV', Bulk Power System Dynamics and Control  IX Optimization, Security and Control of the Emerging Power Grid (IREP), 2013 IREP Symposium, Rethymnon, Greece (2013)


2013 
Kellett CM, Dower PM, 'Stability of (integral) InputtoState Stable Interconnected Nonlinear Systems via Qualitative Equivalences', 2013 3rd Australian Control Conference (AUCC), Perth, Australia (2013) [E1]


2012 
Dower PM, Kellett CM, Zhang H, 'A weak L2gain property for nonlinear systems', Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii (2012) [E1]


2012 
Kellett CM, Dowerz PM, 'A generalization of InputtoState Stability', Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii (2012) [E1]


2011  Dower PM, Zhang H, Kellett CM, 'A verification theorem for nonlinear systems with nonlinear L 2gain', Proceedings of the 2011 Australian Control Conference, AUCC 2011, Melbourne, Vic (2011) [E1]  
2011 
Ong LL, Kellett CM, Johnson SJ, 'On achievable rate regions of the asymmetric AWGN twoway relay channel', 2011 IEEE International Symposium on Information Theory Proceedings (ISIT), St. Petersburg, Russia (2011) [E1]


2011 
Ong LL, Timo R, Lechner G, Johnson SJ, Kellett CM, 'The finite field multiway relay channel with correlated sources: The threeuser case', 2011 IEEE International Symposium on Information Theory Proceedings (ISIT), St. Petersburg, Russia (2011) [E1]


2011 
Zhang H, Dower PM, Kellett CM, 'State feedback controller synthesis to achieve a nonlinear L2gain property', Proceedings of the 18th IFAC World Congress, 2011, Milano, Italy (2011) [E1]


2010  Ruffer BS, Kellett CM, Dower PM, 'On copositive Lyapunov functions for a class of monotone systems', 9th International Symposium on Mathematical Theory Networks Systems (MTNS), Budapest, Hungary (2010) [E2]  
2010 
Ruffer BS, Dower PM, Kellett CM, Weller SR, 'On robust stability of the belief propagation algorithm for LDPC decoding', Proceedings of the Mathematical Theory of Networks and Systems (MTNS), Budapest, Hungary (2010) [E2]


2010 
Ong LL, Johnson SJ, Kellett CM, 'The binarysymmetric parallelrelay network', Proceedings of the 2010 IEEE International Symposium on Information Theory (ISIT 2010), Austin, TX (2010) [E1]


2010 
Ong LL, Kellett CM, Johnson SJ, 'Capacity theorems for the AWGN multiway relay channel', Proceedings of the 2010 IEEE International Symposium on Information Theory (ISIT 2010), Austin, TX (2010) [E1]


2010 
Ong LL, Johnson SJ, Kellett CM, 'The capacity of a class of multiway relay channels', Proceedings of the 12th IEEE International Conference on Communications Systems (ICCS 2010), Singapore (2010) [E1]


2010 
Ong LL, Johnson SJ, Kellett CM, 'Functionaldecodeforward for the general discrete memoryless twoway relay channel', Proceedings of the 12th IEEE International Conference on Communications Systems (ICCS 2010), Singapore (2010) [E1]


2010 
Zhang H, Dower PM, Kellett CM, 'A bounded real lemma for nonlinear L2gain', Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, USA (2010) [E1]


2010 
Dower PM, Zhang H, Kellett CM, 'Nonlinear L2gain analysis via a cascade', Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, USA (2010) [E1]


2009 
Ruffer BS, Kellett CM, Weller SR, 'Integral inputtostate stability of interconnected iISS systems by means of a lowerdimensional comparison system', Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China (2009) [E1]


2009 
Ong LL, Johnson SJ, Kellett CM, 'Achievable rate regions of the butterfly network with noisy links and endtoend error correction', 2009 IEEE Information Theory Workshop (ITW 2009), Taormina, Sicily (2009) [E1]


2008 
Dower PM, Kellett CM, 'A dynamic programming approach to the approximation of nonlinear L2gain', Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico (2008) [E1]


2007 
Johnson SJ, Kellett CM, 'Joint Network and Channel Coding for Cooperative Networks', 2007 AUSTRALASIANTELECOMMUNICATION NETWORKS AND APPLICATIONS CONFERENCE, Christchurch, NEW ZEALAND (2007)


2006 
Middleton RH, Kellett CM, Shorten RN, 'Fairness and Convergence Results for AdditiveIncrease MultiplicativeDecrease MultipleBottleneck Networks', Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, USA (2006) [E1]


2006 
Kellet CM, Weller SR, 'Fixed Points of EXIT Charts', Proceedings 7th Australian Communications Theory Workshop 2006, Perth, WA, Australia (2006) [E1]


2006 
Kellett CM, Weller SR, 'Bifurcations and EXIT charts for the Binary Erasure Channel', ISIT 2006, Seattle, Washington, USA (2006) [E1]


2006 
Kellett CM, Shorten RN, Leith DJ, 'Sizing Internet router buffers, active queue management, and the Lur'e problem', PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 114, San Diego, CA (2006) [E1]


2006 
Kellett CM, 'Root locus plots and iterative decoding', PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 114, San Diego, CA (2006) [E1]


2005 
Kellett CM, Mareels IMY, Ne ic D, 'Stability results for networked control systems subject to packet dropouts', IFAC Proceedings Volumes (IFACPapersOnline) (2005) [E1] Stability and performance of networked control systems has been a recent area of interest in the control literature. The inclusion of a shared communication network between plant ... [more] Stability and performance of networked control systems has been a recent area of interest in the control literature. The inclusion of a shared communication network between plant and controller inevitably leads to occasional random data loss. We provide novel results relating to the probability of such a system being globally asymptotically stable or input to state stable. Copyright © 2005 IFAC.


2004 
Kellett CM, Praly L, 'Nonlinear control tools for low thrust orbital transfer', IFAC Proceedings Volumes (IFACPapersOnline) (2004) We consider the problem of orbital transfer under propulsion constraints. The solution is arrived at by appealing to several recent nonlinear control design methods including back... [more] We consider the problem of orbital transfer under propulsion constraints. The solution is arrived at by appealing to several recent nonlinear control design methods including backstepping, forwarding, and a modified form of JurdjevicQuinn control.


2003 
Kellett CM, Teel AR, 'Results on converse Lyapunov theorems for difference inclusions', 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 16, PROCEEDINGS, Maui, HI (2003) [E1]


2003 
Kellett CM, Teel AR, 'Results on discretetime controlLyapunov functions', 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 16, PROCEEDINGS, Maui, HI (2003) [E1]


2002 
Kellett CM, Shim HB, Teel AR, 'Robustness of discontinuous feedback via sample and hold control', PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 16, ANCHORAGE, AK (2002) [E1]


2002 
Kellett CM, Teel AR, 'On robustness of stability and Lyapunov functions for discontinuous difference equations', PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 14, LAS VEGAS, NV (2002) [E1]


2000 
Kellett CM, Teel AR, 'Uniform asymptotic controllability to a set implies locally Lipschitz controlLyapunov function', PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 15, SYDNEY, AUSTRALIA (2000) [E1]


Show 74 more conferences 
Other (4 outputs)
Year  Citation  Altmetrics  Link  

2018 
Braun P, Kellett CM, Zaccarian L, 'Explicit construction of robust avoidance controllers for linear systems', (2018)


2018 
Braun P, Grüne L, Kellett CM, 'Complete Instability of Differential Inclusions using Lyapunov Methods', (2018)


2018 
Braun P, Kellett CM, Zaccarian L, 'Unsafe Point Avoidance in Linear State Feedback', (2018)


Show 1 more other 
Report (1 outputs)
Year  Citation  Altmetrics  Link 

2006  Kellett CM, Shorten RN, Leith DJ, 'Delaybased congestion control', Cisco Systems, Inc (2006) [R2] 
Grants and Funding
Summary
Number of grants  8 

Total funding  $2,161,979 
Click on a grant title below to expand the full details for that specific grant.
20181 grants / $375,888
Uncertainty in the social cost of carbon dioxide: control theoretic methods$375,888
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Professor Steven Weller, Professor Christopher Kellett, Dr Tim Faulwasser, Prof Dr Lars Gruene, Professor Willi Semmler 
Scheme  Discovery Projects 
Role  Investigator 
Funding Start  2018 
Funding Finish  2020 
GNo  G1700209 
Type Of Funding  C1200  Aust Competitive  ARC 
Category  1200 
UON  Y 
20161 grants / $442,830
Activating LyapunovBased Feedback  Nonsmooth Control Lyapunov Functions$442,830
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Professor Christopher Kellett, Prof Dr Lars Gruene, Doctor Bjoern Rueffer, Dr Sigurdur Hafstein 
Scheme  Discovery Projects 
Role  Lead 
Funding Start  2016 
Funding Finish  2018 
GNo  G1500106 
Type Of Funding  C1200  Aust Competitive  ARC 
Category  1200 
UON  Y 
20121 grants / $30,000
Development of a distributed algorithm for assigning charge rates to electric vehicles (load management)$30,000
Funding body: CSIRO  Energy Technology
Funding body  CSIRO  Energy Technology 

Project Team  Professor Rick Middleton, Professor Christopher Kellett, Ms Sonja Stuedli 
Scheme  Postgraduate Research Scholarship 
Role  Investigator 
Funding Start  2012 
Funding Finish  2014 
GNo  G1200823 
Type Of Funding  Other Public Sector  Commonwealth 
Category  2OPC 
UON  Y 
20111 grants / $751,561
A General Framework for the Stability and Robustness of Dynamical Systems$751,561
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Professor Christopher Kellett 
Scheme  Future Fellowships 
Role  Lead 
Funding Start  2011 
Funding Finish  2016 
GNo  G1100522 
Type Of Funding  Aust Competitive  Commonwealth 
Category  1CS 
UON  Y 
20083 grants / $351,700
Iterative coding for next generation networks$335,000
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Professor Sarah Johnson, Professor Christopher Kellett 
Scheme  Discovery Projects 
Role  Investigator 
Funding Start  2008 
Funding Finish  2010 
GNo  G0187513 
Type Of Funding  Aust Competitive  Commonwealth 
Category  1CS 
UON  Y 
Nonlinear Control of Alternating Current Motors$15,000
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Professor Christopher Kellett 
Scheme  Pilot Grant 
Role  Lead 
Funding Start  2008 
Funding Finish  2008 
GNo  G0189074 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
IEEE Conference on Decison and Control, Fiesta Americana, Cancun, Mexico, 9/12/2008  11/12/2008 $1,700
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Professor Christopher Kellett 
Scheme  Travel Grant 
Role  Lead 
Funding Start  2008 
Funding Finish  2008 
GNo  G0189400 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
20071 grants / $210,000
Dynamical systems and iterative decoding of lowdensity paritycheck codes$210,000
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Professor Steven Weller, Professor Christopher Kellett 
Scheme  Discovery Projects 
Role  Investigator 
Funding Start  2007 
Funding Finish  2009 
GNo  G0186267 
Type Of Funding  Aust Competitive  Commonwealth 
Category  1CS 
UON  Y 
Research Supervision
Number of supervisions
Past Supervision
Year  Level of Study  Research Title  Program  Supervisor Type 

2019  PhD  Robust Nonlinear Model Predictive Control of Wind Turbines using Uncertain Wind Predictions  PhD (Electrical Engineering), College of Engineering, Science and Environment, The University of Newcastle  Principal Supervisor 
2019  PhD  Advances in Stability Analysis for Nonlinear DiscreteTime Dynamical Systems  PhD (Electrical Engineering), College of Engineering, Science and Environment, The University of Newcastle  Principal Supervisor 
2018  PhD  A ControlTheoretic Approach to Incorporate Uncertainty into the Dynamic Integrated ClimateEconomy (DICE) Model  PhD (Electrical Engineering), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2016  PhD  Balancing Distributor and Customer Benefits of Battery Storage CoLocated with Solar PV  PhD (Electrical Engineering), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2016  Masters  Computational Solutions for Bayesian Inference in Dynamical Systems  M Philosophy(Elec Engineering), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
Research Collaborations
The map is a representation of a researchers coauthorship with collaborators across the globe. The map displays the number of publications against a country, where there is at least one coauthor based in that country. Data is sourced from the University of Newcastle research publication management system (NURO) and may not fully represent the authors complete body of work.
Country  Count of Publications  

Australia  124  
Germany  41  
United States  14  
Ireland  12  
France  8  
More... 
News
Engineering a response to climate change
July 18, 2017
ARC Discovery Projects funding success 2016
November 4, 2015
University academic visits Japan for meeting of the minds
February 28, 2013
Professor Christopher Kellett
Position
Conjoint Professor
School of Information and Physical Sciences
College of Engineering, Science and Environment
Focus area
Electrical and Computer Engineering
Contact Details
chris.kellett@newcastle.edu.au  
Phone  (02) 4921 6090 
Office
Room  Enter Building code/room eg CH123. 

Building  Engineering 
Location  Callaghan University Drive Callaghan, NSW 2308 Australia 