Further results on delay-dependent stability criteria of discrete systems with an interval time-varying delay

被引：11

作者：

Wu, Min ^{[1
]}

Peng, Chen ^{[1
]}

Zhang, Jin ^{[1
]}

Fei, Minrui ^{[1
]}

Tian, Yuchu ^{[2
]}

机构：

[1] Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai Key Lab Power Stn Automat Technol, Shanghai 200072, Peoples R China

[2] Queensland Univ Technol, Sch Elect Engn & Comp Sci, GPO Box 2434, Brisbane, Qld 4001, Australia

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 12期

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

GLOBAL ASYMPTOTIC STABILITY; FINITE-SUM INEQUALITY; NEURAL-NETWORKS; STABILIZATION;

D O I：

10.1016/j.jfranklin.2017.05.005

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 stability of discrete-time systems with an interval-like time-varying delay. By constructing a novel augmented Lyapunov functional and using an improved finite-sum inequality to deal with some sum-terms appearing in the forward difference of the Lyapunov functional, a less conservative stability criterion is obtained for the system under study if compared with some existing methods. Moreover, as a special case, the stability of discrete-time systems with a constant time delay is also investigated. Three numerical examples show that the derived stability criteria are less conservative and require relatively small number of decision variables. (C) 2017 Published by Elsevier Ltd on behalf of The Franklin Institute.

引用

页码：4955 / 4965

页数：11

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