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Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions

✍ Scribed by Franco Blanchini; Carlo Savorgnan

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 163 KB
Volume: 44
Category: Article
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2007.08.012

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## Abstract In this paper, necessary and sufficient conditions are derived for the existence of a common quadra‐tic Lyapunov function for a finite number of stable second order linear time‐invariant systems. Copyright © 2002 John Wiley & Sons, Ltd.