Necessary exponential stability conditions for linear discrete time-delay systems and application

被引：2
|
作者：
Li, Haifang [1 ,2 ]
Zhao, Ning [1 ,2 ]
Zhang, Xian [1 ,2 ]
Wang, Xin [1 ,2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Heilongjiang Univ, Heilongjiang Prov Key Lab Theory & Computat Compl, Harbin 150080, Peoples R China
来源：
JOURNAL OF CONTROL AND DECISION | 2020年 / 7卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Linear discrete time-delay system; exponential stability; fundamental matrix; Lyapunov matrix; Lyapunov-Krasovskii functional; RAZUMIKHIN;
D O I：
10.1080/23307706.2018.1556127
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Necessary conditions for the exponential stability of the linear discrete time-delay systems are presented by employing the so-called Lyapunov-Krasovskii functional approach. These conditions not only provide a new tool for stability analysis of the linear discrete time-delay system by characterising instability domains, but also extend the existing results of the linear discrete time-delay system. Simultaneously, we investigate several crucial properties that connect the Lyapunov matrix and the fundamental matrix of the system. Finally, the robust stability analysis of the linear discrete time-delay systems with norm-bounded uncertainties is presented. Numerical examples illustrate the validity of the obtained results.
引用
收藏
页码：262 / 275
页数：14
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