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.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00724546
Contributor : Alexandre Seuret <>
Submitted on : Tuesday, August 21, 2012 - 3:08:02 PM
Last modification on : Wednesday, April 11, 2018 - 1:59:41 AM

Links full text

Identifiers

Citation

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⟩

Share

Metrics

Record views

480