Lyapunov Matrices Approach to Robust Stability Analysis for Linear Discrete-Time Systems with Multiple Delays

被引：0
|
作者：
Li, Haifang [1 ,2 ]
Wang, Xin [1 ,2 ]
Zhang, Xian [1 ,2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Heilongjiang Univ, Heilongliang Prov Key Lab Theory & Computat Compl, Harbin 150080, Peoples R China
来源：
PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC) | 2019年
基金：
中国国家自然科学基金;
关键词：
linear uncertain discrete time-delay systems; robust stability; fundamental matrix; Lyapunov matrix; Lyapunov-Krasovskii functional; STABILIZATION; RAZUMIKHIN; CRITERIA;
D O I：
10.23919/chicc.2019.8866653
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 investigates the problem of the robust stability analysis of linear uncertain discrete-time systems with multiple delays. For this end, we first introduce the concept of Lyapunov matrix which based on the fundamental matrix of the corresponding nominal systems. At the same time, the existence and uniqueness of Lyapunov matrix can be promised when the nominal system is exponentially stable. Furthermore, by constructing Lyapunov matrix-based Lyapunov-Krasovskii functional, the sufficient condition of robust exponential stability for the considered systems is proposed. Finally, a numerical example illustrates the validity of the obtained results.
引用
收藏
页码：1312 / 1316
页数：5
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