Stability analysis of hybrid systems via small-gain theorems

Authors:
Daniel Liberzon;Dragan Nešić
Affiliations:
Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL;Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, Victoria, Australia
Venue:
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
Year:
2006

Citing 5
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Abstract

We present a general approach to analyzing stability of hybrid systems, based on input-to-state stability (ISS) and small-gain theorems. We demonstrate that the ISS small-gain analysis framework is very naturally applicable in the context of hybrid systems. Novel Lyapunov-based and LaSalle-based small-gain theorems for hybrid systems are presented. The reader does not need to be familiar with ISS or small-gain theorems to be able to follow the paper.