Delay-Dependent Stability Criterion for Discrete-Time Systems with Time-Varying Delays

被引：2
|
作者：
Hua, Changchun [1 ]
Wu, Shuangshuang [1 ]
Bai, Zhenhua [2 ]
Guan, Xinping [3 ]
机构：
[1] Yanshan Univ, Coll Elect Engn, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Coll Mech Engn, Qinhuangdao 066004, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2017年 / 19卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Linear discrete-time systems; time-varying delay; stability; summation inequality; Lyapunov method; INTEGRAL INEQUALITY; ROBUST STABILITY; STABILIZATION;
D O I：
10.1002/asjc.1409
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stability analysis problem is considered for linear discrete-time systems with time-varying delays. A novel summation inequality is proposed, which takes the double summation information of the system state into consideration. The inequality relaxes the recently proposed discrete Wirtinger inequality and its improved version. Based on construction of a suitable Lyapunov-Krasovskii functional and the novel summation inequality, an improved delay-dependent stability criterion for asymptotic stability of the systems is derived in terms of linear matrix inequalities. Numerical examples are given to demonstrate the advantages of the proposed method.
引用
收藏
页码：708 / 716
页数：9
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