Many different concepts have been proposed, studied, and used when considering stability and/or performance of control systems. Most frequently, these concepts involve bounds on the size of system trajectories. Quantifying size by using different norms is one way in which many stability and performance concepts apparently differ. We may also consider systems with inputs, outputs, both of these, or neither. Furthermore, it is possible to consider different relationships amongst inputs, outputs, and states. Many, if not most, of these relationships provide insight into the behavior of the system under study. In this talk we will specifically examine several variants of input-to-state stability and L2-gain and explore relationships between, and generalizations of, these concepts. In addition to this particular research topic, I will give a broad overview of other research areas in which I am interested.
Christopher M. Kellett received the Bachelor of Science in Electrical Engineering and Mathematics from the University of California, Riverside and the Master of Science and Doctor of Philosophy in Electrical and Computer Engineering from the University of California, Santa Barbara. He subsequently held research positions with the Centre Automatique et Systemes at Ecole des Mines de Paris, 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, Chris has been with the School of Electrical Engineering and Computer Science at the University of Newcastle, Australia where he is currently an Associate Professor and an Australian Research Council Future Fellow. In 2012, Chris was awarded a Humboldt Research Fellowship funded by the Alexander von Humboldt Foundation, Germany.
Outside of his technical research interests in control, communications, and information theory and power systems, Chris is an avid swimmer and a fan of jazz and blues.