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Convex dwell-time characterizations for uncertain linear impulsive systems

Corentin Briat 1 Alexandre Seuret 2
2 NECS - Networked Controlled Systems
GIPSA-DA - Département Automatique, Inria Grenoble - Rhône-Alpes
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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Contributor : Alexandre Seuret <>
Submitted on : Tuesday, August 21, 2012 - 3:08:02 PM
Last modification on : Wednesday, May 13, 2020 - 4:16:01 PM

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Corentin Briat, Alexandre Seuret. Convex dwell-time characterizations for uncertain linear impulsive systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2012, 57 (12), pp.3241-3246. ⟨10.1109/TAC.2012.2200379⟩. ⟨hal-00724546⟩



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