Lyapunov characterization of Zeno behavior in hybrid systems

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2008Publisher:IEEEJournal:2008 47th IEEE Conference on Decision and Control

Authors: Rafal Goebel; Andrew R. Teel;

doi: 10.1109/cdc.2008.4738864

Lyapunov characterization of Zeno behavior in hybrid systems

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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.

Related Organizations

University of California, Santa Barbara
United States
Loyola University Chicago
United States

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