28 July 2017

Christopher Kellett visited ASA, IIASA

Christopher Kellett from the University of Newcastle, Australia visited the Advanced Systems Analysis program on 24-29 July, 2017. He gave a talk on "Back and Forth in Lyapunov's Second Method: Non-Uniform Subtleties" and participated in the First IIASA Summer Workshop on Green Growth Modeling

© Christopher Kellett

© Christopher Kellett

Abstract

Lyapunov's second or direct method provides an easy-to-check sufficient condition for stability properties of equilibria. The converse question - given a stability property, does there exist an appropriate Lyapunov function? - has been fundamental in differentiating and classifying different stability properties, particularly with regards to "uniform" stability. In this talk, I will review the usual textbook definitions for Lyapunov functions for time-varying systems and describe where they are deficient. Some interesting new sufficient (and probably necessary) conditions pop up along the way.


Christopher Kellett received the Bachelor of Science 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 research positions with the Centre Automatique et Systemes at Ecole des Mines de Paris (France), the Department of Electrical and Electronic Engineering at the University of Melbourne (Australia), and the Hamilton Institute at the National University of Ireland, Maynooth. Since 2006, Christopher has been with the School of Electrical Engineering and Computing at the University of Newcastle, Australia, where he is currently an Associate Professor. Christopher is an Associate Editor for IEEE Transactions on Automatic Control, IEEE CSS Letters, the European Journal on Control, and Mathematics of Control, Signals and Systems, as well as a member of the IEEE Control Systems Society Conference Editorial Board. He has been the recipient of an Australian Research Council Future Fellowship (2011-2015), an Alexander von Humboldt Research Fellowship (2012-2013), and the 2012 IET Control Theory and its Applications Premium Award. Christopher's research interests are broadly in the area of systems and control, with specific emphases on stability and robustness properties for nonlinear systems, high speed model predictive control, applications in electricity distribution networks, and applications in social systems such as carbon pricing and opinion dynamics.


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Last edited: 02 August 2017

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