New expectation-based conditions for almost sure exponential stability of discrete-time semi-Markovian linear systems with time-delayed control

被引：0

作者：

Yan, Yongchun ^{[1
]}

Zhao, Dianli ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2024年 / 361卷 / 09期

关键词：

Discrete-time semi-Markovian linear systems; Almost sure exponential stability; Linear matrix inequality; Ergodicity; Lyapunov function; STOCHASTIC STABILITY; JUMP SYSTEMS; STABILIZATION;

D O I：

10.1016/j.jfranklin.2024.106875

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 studies almost sure exponential stability of discrete-time semi-Markovian linear systems with time-delayed control. New expectation-based sufficient conditions for almost sure exponential stability of the system are derived by employing the coupled Lyapunov function related to the sojourn time and the ergodic property of semi-Markov chains. Compared with known results on almost sure exponential stability of discrete-time semi-Markovian linear systems, the results in this paper are shown to be less conservative. At last, three numerical examples are given to illustrate the results.

引用

页数：14

共 42 条

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