DocumentCode
2242317
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
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
2752
Lastpage
2757
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738864
Filename
4738864
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