Absolute exponential stability of switched nonlinear time-delay systems

被引：29

作者：

Zhang, Junfeng ^{[1
]}

Zhao, Xudong ^{[2
,3
]}

Huang, Jun ^{[4
]}

机构：

[1] Hangzhou Dianzi Univ, Key Lab IOT & Informat Fus Technol Zhejiang, Hangzhou 310018, Zhejiang, Peoples R China

[2] Bohai Univ, Coll Engn, Jinzhou 121013, Peoples R China

[3] Dalian Univ Technol, Res Ctr Informat & Control, Dalian 116024, Liaoning, Peoples R China

[4] Soochow Univ, Sch Mech & Elect Engn, Suzhou 215021, Jiangsu, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 06期

关键词：

RECURRENT NEURAL-NETWORKS; ADAPTIVE TRACKING CONTROL; STABILIZATION;

D O I：

10.1016/j.jfranklin.2015.12.015

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 absolute exponential stability of switched nonlinear time-delay systems in both continuous-time and discrete-time contexts. The nonlinearities of the systems satisfy a certain sector condition. First, an improved Lyapunov Krasovskii functional of switched nonlinear time-delay systems in the continuous-time form is constructed. By using the multiple Lyapunov Krasovskii functionals and average dwell time switching approaches, two less conservative sufficient conditions for the absolute exponential stability of the systems with single/multiple delays are established, respectively. Then, the obtained results are extended to discrete-time systems. All proposed conditions are described via linear programming. By some comparisons, it is shown that the results in the paper are less conservative than those in the literature. Finally, two examples are given to show the effectiveness of the theoretical findings. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1249 / 1267

页数：19

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