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Convex Dwell-Time Characterizations for Uncertain Linear Impulsive Systems

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2 Author(s)
Briat, C. ; Dept. of Biosyst. Sci. & Eng. (D-BSSE), ETH Zurich, Basel, Switzerland ; Seuret, A.

New sufficient conditions for the characterization of dwell-times for linear impulsive systems are proposed and shown to coincide with continuous decrease conditions of a certain class of looped-functionals, a recently introduced type of functionals suitable for the analysis of hybrid systems. This approach allows to consider Lyapunov functions that evolve nonmonotonically along the flow of the system in a new way, broadening then the admissible class of systems which may be analyzed. As a byproduct, the particular structure of the obtained conditions makes the method is easily extendable to uncertain systems by exploiting some convexity properties. Several examples illustrate the approach.

Published in:

Automatic Control, IEEE Transactions on  (Volume:57 ,  Issue: 12 )

Date of Publication:

Dec. 2012

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