Stability Analysis of Discrete-Time Semi-Markov Jump Linear Systems With Time Delay

被引：26
|
作者：
Wang, Bao [1 ,2 ]
Zhu, Quanxin [1 ]
Li, Subei [3 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, CHP LCOCS, Changsha 410081, Peoples R China
[2] Xuzhou Univ Technol, Coll Math & Stat, Xuzhou 221000, Jiangsu, Peoples R China
[3] Xuzhou Univ Technol, Coll Math & Stat, Xuzhou 221000, Jiangsu, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Controller design; discrete-time semi-Markov jump linear systems; linear matrix inequality (LMI); semi-Markov switching condition; time delay; STOCHASTIC DIFFERENTIAL-EQUATIONS; STABILIZATION;
D O I：
10.1109/TAC.2023.3240926
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 and stabilization problems for discrete-time semi-Markov jump linear systems with time delay are discussed. By virtue of a novel Lyapunov-Krasovskill functional and the probability structure of semi-Markov switching signal, the sufficient stability conditions for the considered systems are presented in terms of a set of linear matrix inequalities and a proper semi-Markov switching condition. Based on such conditions, the time delay and mode dependent controller can be designed to stabilize the corresponding closed-loop systems. Finally, two examples are given to illustrate the effectiveness of our results.
引用
收藏
页码：6758 / 6765
页数：8
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