Stability and l2-Gain Analysis of Discrete-Time Switched Systems with Mode-Dependent Average Dwell Time

被引：61

作者：

Liu, Li-Juan ^{[1
,2
]}

Zhao, Xudong ^{[1
]}

Sun, Xi-Ming ^{[1
]}

Zong, Guangdeng ^{[3
]}

机构：

[1] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China

[2] Dalian Jiaotong Univ, Sch Software, Dalian 116052, Peoples R China

[3] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2020年 / 50卷 / 06期

基金：

中国国家自然科学基金;

关键词：

l(2)-gain; mode-dependent average dwell time (MDADT); multiple discontinuous Lyapunov function (MDLF); switched systems; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; STABILIZATION; REDUCTION;

D O I：

10.1109/TSMC.2018.2794738

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problems of stability and l(2)-gain analysis are investigated for discrete-time switched systems with mode-dependent average dwell time (DT). By proposing a novel multiple discontinuous Lyapunov function (MDLF) approach, the conditions of stability and weighted l(2)-gain are established for nonlinear systems. Next, the corresponding results for linear switched systems are also proposed by using MDLF. It turns out that our proposed results provide smaller bounds on the DT. Some simulation results are given to show the validity of our approaches.

引用

页码：2305 / 2314

页数：10

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