(Robust) Stability of Motion

Abstract:

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.

Biography: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 Syst\`emes
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 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.