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Discrete-time switched systems, set-theoretic analysis and quasi-quadratic Lyapunov functions

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4 Author(s)
L. Hetel ; CNRS LAGIS, FRE 3303, Ecole Centrale de Lille, BP48, 59651 Villeneuve d'Ascq Cedex, France ; A. Kruszewski ; W. Perruquetti ; J. P. Richard

The article establishes a constructive link between two approaches for analyzing the stability of discrete-time switched linear systems with arbitrary switching. The first approach is based on quasi-quadratic Lyapunov functions while the second one concerns a set-theoretic analysis of switched systems. An LMIs based procedure for deriving quasi-quadratic Lyapunov functions from the set-theoretic analysis is obtained. The approach may be used for constructing positively invariant sets for cases of switched discrete-time linear systems that are not quadratically stable.

Published in:

Control & Automation (MED), 2011 19th Mediterranean Conference on

Date of Conference:

20-23 June 2011