Convex dwell-time characterizations for uncertain linear impulsive systems

Corentin Briat 1 Alexandre Seuret 2
2 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
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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Article dans une revue
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2012, 57 (12), pp.3241-3246. 〈10.1109/TAC.2012.2200379〉
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https://hal.archives-ouvertes.fr/hal-00724546
Contributeur : Alexandre Seuret <>
Soumis le : mardi 21 août 2012 - 15:08:02
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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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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