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Results on input-to-state stability for hybrid systems | IEEE Conference Publication | IEEE Xplore

Results on input-to-state stability for hybrid systems


Abstract:

We show that, like continuous-time systems, zero-input locally asymptotically stable hybrid systems are locally input-to-state-stable (LISS). We demonstrate by examples t...Show More

Abstract:

We show that, like continuous-time systems, zero-input locally asymptotically stable hybrid systems are locally input-to-state-stable (LISS). We demonstrate by examples that, unlike continuous-time systems, zero-input locally exponentially stable hybrid systems may not be LISS with linear gain, input-to-state stable (ISS) hybrid systems may not admit any ISS Lyapunov function, and nonuniform ISS hybrid systems may not be (uniformly) ISS. We then provide a strengthened ISS condition as an equivalence to the existence of an ISS Lyapunov function for hybrid systems. This strengthened condition reduces to standard ISS for continuous-time and discrete-time systems. Finally under some other assumptions we establish the equivalence among ISS, several asymptotic characterizations of ISS, and the existence of an ISS Lyapunov function for hybrid systems.
Date of Conference: 15-15 December 2005
Date Added to IEEE Xplore: 30 January 2006
Print ISBN:0-7803-9567-0
Print ISSN: 0191-2216
Conference Location: Seville, Spain

References

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