For hybrid systems, sufficient conditions are derived for the uniform global asymptotic stability of a given closed set. These conditions are written in terms of a Lyapunov function candidate and assume a semiglobal practical persistent flow (resp. persistent jump) property of the solutions to the hybrid system. The use of the new conditions is illustrated via the stability analysis of a physically inspired example and of an event-triggered control algorithm.

Relaxed Persistent Flow/Jump Conditions for Uniform Global Asymptotic Stability

Zaccarian, Luca
2014-01-01

Abstract

For hybrid systems, sufficient conditions are derived for the uniform global asymptotic stability of a given closed set. These conditions are written in terms of a Lyapunov function candidate and assume a semiglobal practical persistent flow (resp. persistent jump) property of the solutions to the hybrid system. The use of the new conditions is illustrated via the stability analysis of a physically inspired example and of an event-triggered control algorithm.
2014
10
C., Prieur; A. R., Teel; Zaccarian, Luca
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/101321
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