Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/74461
Type: Artigo de periódico
Title: Stability and stabilization of continuous-time switched linear systems
Author: Geromel, JC
Colaneri, P
Abstract: This paper addresses two strategies for the stabilization of continuous-time, switched linear systems. The first one is of open loop nature (trajectory independent) and is based on the determination of a minimum dwell time by means of a family of quadratic Lyapunov functions. The relevant point on dwell time calculation is that the proposed stability condition does not require the Lyapunov function to be uniformly decreasing at every switching time. The second one is of closed loop nature (trajectory dependent) and is designed from the solution of what we call Lyapunov Metzler inequalities from which the stability condition (including chattering) is expressed. Being nonconvex, a more conservative but simpler-to-solve version of the Lyapunov-Metzler inequalities is provided. The theoretical results are illustrated by means of examples.
Subject: switched systems
continuous-time systems
Lyapunov-Metzler inequalities
linear matrix inequality
Country: EUA
Editor: Siam Publications
Rights: aberto
Identifier DOI: 10.1137/050646366
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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