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.File in questo prodotto:
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