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arXiv · 1205.0213

Convex dwell-time characterizations for uncertain linear impulsive systems

Corentin Briat·Alexandre Seuret
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Abstract

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 non-monotonically 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.

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Corentin Briat, Alexandre Seuret. 2012-05-01. Convex dwell-time characterizations for uncertain linear impulsive systems. https://doi.org/10.1109/tac.2012.2200379

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