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Convex Dwell-Time Characterizations for Uncertain Linear Impulsive Systems
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2012 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 57, no 12, 3241-3246 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2012. Vol. 57, no 12, 3241-3246 p.
Keyword [en]
Dwell time, impulsive systems, looped-functionals, robustness, stability
National Category
Control Engineering Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:kth:diva-109627DOI: 10.1109/TAC.2012.2200379ISI: 000311793700030ScopusID: 2-s2.0-84870468124OAI: diva2:583454
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Available from: 2013-01-08 Created: 2013-01-08 Last updated: 2013-04-11Bibliographically approved

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