Further results on delay-dependent stability for continuous system with two additive time-varying delay components

被引：22

作者：

Yu, Xuemei ^{[1
]}

Wang, Xiaomei ^{[1
]}

Zhong, Shouming ^{[1
]}

Shi, Kaibo ^{[2
]}

机构：

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

[2] Chengdu Univ, Sch Informat Sci & Engn, Chengdu 610106, Peoples R China

来源：

ISA TRANSACTIONS | 2016年 / 65卷

基金：

中国国家自然科学基金;

关键词：

Delay-dependent stability; Additive delay components; Time-varying delay; Lyapunov-Krasovskii functional; H-INFINITY CONTROL; STATE-FEEDBACK STABILIZATION; NEURAL-NETWORKS; LINEAR-SYSTEMS; LANDMARK RECOGNITION; UNCERTAIN SYSTEMS; ROBUST STABILITY; CRITERIA; IMPROVEMENT;

D O I：

10.1016/j.isatra.2016.08.003

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 deals with the problem of stability for continuous system with two additive time-varying delay components. By making full use of the information of the marginally delayed state, a novel Lyapunov-Krasovskii functional is constructed. When estimating the derivative of the Lyapunov-Krasovskii functional, we manage to get a fairly tighter upper bound by using the method of reciprocal convex and convex polyhedron. The obtained delay-dependent stability results are less conservative than some existing ones via numerical example comparisons. In addition, this criterion is expressed as a set of linear matrix inequalities, which can be readily tested by using the Matlab LMI toolbox. Finally, four examples are given to illustrate the effectiveness of the proposed method. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：9 / 18

页数：10

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