Standard H-infinity performance of switched delay systems under minimum dwell time switching

被引：8

作者：

Ma, Ruicheng ^{[1
]}

Ma, Mingjun ^{[1
]}

Li, Jinghan ^{[2
]}

Fu, Jun ^{[3
]}

Wu, Caiyun ^{[4
]}

机构：

[1] Liaoning Univ, Sch Math, Shenyang 110036, Liaoning, Peoples R China

[2] Huanghe Sci & Technol Coll, Zhengzhou 450006, Henan, Peoples R China

[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China

[4] Shenyang Ligong Univ, Sch Equipment Engn, Shenyang 110159, Liaoning, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 06期

基金：

中国国家自然科学基金;

关键词：

LINEAR-SYSTEMS; L-2-GAIN ANALYSIS; EXPONENTIAL STABILITY; STABILIZATION;

D O I：

10.1016/j.jfranklin.2019.02.026

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 investigates the standard H-infinity performance for a class of switched linear systems with time-varying delay in the framework of the delay-dependent/delay-independent minimum dwell time. For the studied systems, we first construct two types of multiple time-varying Lyapunov functionals, and then obtain the sufficient conditions by restricting the decay of the Lyapunov functional of the active subsystem and forcing "energy" of the overall switched system to decrease at switching instants by the proposed Lyapunov functionals to guarantee standard L-2-gain performance meanwhile ensuring their internal stability with minimum dwell time switching. Finally, two examples are presented to illustrate the effectiveness of the proposed results. (c) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3443 / 3456

页数：14

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