Necessary Exponential Stability Conditions for Linear Discrete Time-Delay Systems

被引：0
|
作者：
Li, Haifang [1 ]
Zhao, Ning [1 ]
Zhang, Xian [1 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
来源：
PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC) | 2018年
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：
暂无
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 system 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 characterizing 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. A numerical example illustrates the validity of the obtained results.
引用
收藏
页码：90 / 95
页数：6
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