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

被引：6

作者：

Zhu, Liying ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China

来源：

INFORMATION SCIENCES | 2016年 / 326卷

关键词：

Switched systems; Stability; Stabilization; Saddle points; Switching delays; Algorithms; OUTPUT-FEEDBACK CONTROL; SLIDING MODE CONTROL; LYAPUNOV FUNCTIONS; LTI SYSTEMS;

D O I：

10.1016/j.ins.2015.07.042

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：146 / 159

页数：14

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