An augmented result on almost sure exponential stability of semi-Markov jump systems

被引：3
|
作者：
Sun, Xinxin [1 ]
Zhao, Dianli [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2023年 / 171卷
关键词：
Ergodic semi-Markov chain; Lyapunov function; Linear matrix inequality; Almost sure exponential stability; LINEAR-SYSTEMS; STOCHASTIC STABILITY; SOJOURN;
D O I：
10.1016/j.sysconle.2022.105414
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 purpose of this paper is to study almost sure exponential stability for a class of semi-Markov jump systems. A novel type of coupled Lyapunov function is constructed by using the holding time of semi-Markov modes. Then, based on the ergodicity and stationary distribution of semi-Markov switching process, sufficient stability conditions are proposed for semi-Markov jump systems, which significantly improve several known results on almost sure exponential stability. Finally, an example is given to show the superiority of our conclusion. (c) 2022 Elsevier B.V. All rights reserved.
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页数：8
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