Improved delay-dependent stability criteria for continuous system with two additive time-varying delay components

被引：27

作者：

Cheng, Jun ^{[1
]}

Zhu, Hong ^{[1
]}

Zhong, Shouming ^{[2
,3
]}

Zhang, Yuping ^{[1
]}

Zeng, Yong ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[3] Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 611731, Sichuan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 01期

关键词：

Time-delay system; Additive delay components; Lyapunov-Krasovskii function; Linear matrix inequality; NEURAL-NETWORKS; ROBUST STABILITY;

D O I：

10.1016/j.cnsns.2013.05.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigated the problem of improved delay-dependent stability criteria for continuous system with two additive time-varying delay components. Free weighting matrices and convex combination method are not involved, which achieves much less numbers of linear matrix inequalities (LMIs) and LMIs scalar decision variables. By taking advantage of integral inequality and new Lyapunov-Krasovskii functional, new less conservative delay-dependent stability criterion is derived. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Crown Copyright (c) 2013 Published by Elsevier B.V. All rights reserved.

引用

页码：210 / 215

页数：6

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