Title :
Lyapunov characterization of Zeno behavior in hybrid systems
Author :
Goebel, Rafal ; Teel, Andrew R.
Author_Institution :
Dept. of Math. & Stat., Loyola Univ. Chicago, Chicago, IL, USA
Abstract :
Necessary and sufficient Lyapunov characterizations of a particular type of asymptotic stability in hybrid dynamical systems are given. This type involves uniform bounds on the amount of ordinary time, but not the number of jumps, it takes solutions to converge to the asymptotically stable set. Connections of this asymptotic stability concept to Zeno behavior are explored. Necessary and sufficient conditions for Zeno and uniform Zeno stability are shown.
Keywords :
Lyapunov methods; asymptotic stability; Lyapunov characterization; Zeno stability; asymptotic stability; hybrid dynamical systems; Asymptotic stability; Automata; Control systems; Lagrangian functions; Lyapunov method; Mathematics; Statistics; Sufficient conditions;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738864
