Stability and stabilization of switched linear time-invariant systems with saddle points and switching delays

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• 作者：Liying Zhu ; ^{lyzhu@zjnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; ^{lyzhu@zjnu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Switched systems ; Stability ; Stabilization ; Saddle points ; Switching delays ; Algorithms
• 刊名：Information Sciences
• 出版年：2016
• 出版时间：1 January 2016
• 年：2016
• 卷：326
• 期：Complete
• 页码：146-159
• 全文大小：1122 K

文摘

This paper addresses global asymptotic stability (GAS) and stabilization issues of switched linear time-invariant (LTI) systems with saddle points and time-varying switching delays. Firstly, two criteria of GAS are proposed for such switched systems with all subsystems sharing a common unique saddle point under arbitrary periodic/quasi-periodic switching paths (PSP/QSP). Secondly, by using our stability results we design global asymptotic-stabilizing controls (GASC), periodic/quasi-periodic stabilizing switching paths (PSSP/QSSP), and an algorithm of GASC and PSSP/QSSP for the switched systems. Finally, we present a numerical example of a switching multi-agent system to illustrate the effectiveness and practicality of our new results.