• 作者：Philippe Jouan ; ^{Philippe.Jouan@univ-rouen.fr" class="auth_mail" title="E-mail the corresponding author} ; Saï ; d Naciri ^{Said.Naciri1@univ-rouen.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Switched systems ; Asymptotic stability ; Weak Lyapunov functions ; Convergence rate
• 刊名：Systems & Control Letters
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：87
• 期：Complete
• 页码：70-75
• 全文大小：503 K

We first consider a switched system which is asymptotically stable for a class of switching signals but not for all switching signals. We show that solutions corresponding to that class of switching signals converge arbitrarily slowly to the origin.

Then we consider analytic switched systems for which a common weak quadratic Lyapunov function exists. Under two different sets of assumptions we provide explicit exponential convergence rates for switching signals with a fixed dwell-time.