Exponential stability for discrete-time singular stochastic systems with semi-Markovian switching

被引：1

作者：

Zhang, Mengmeng ^{[1
]}

Zhu, Quanxin ^{[1
]}

机构：

[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE | 2024年 / 362卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Discrete-time singular system; Semi-Markovian switching; Exponential stability in mean square; Lyapunov function; Linear matrix inequality; DIFFERENTIAL-EQUATIONS; JUMP SYSTEMS; STABILIZATION;

D O I：

10.1016/j.jfranklin.2025.107521

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the stability of stochastic discrete-time singular systems with semi-Markovian switching (SMS) is taken into consideration. Based on inherent mode-dependent state jump behaviors, a time-dependent coordinate transformation is established, which is of great importance in discussion. Stochastic disturbances are also considered. Constructing Lyapunov function and applying stochastic analysis techniques, sufficient conditions for exponential stability in mean square and almost surely exponential stability are obtained by considering the probability density function of sojourn-time. Besides, we provide corresponding linear matrix inequalities (LMIs) of the provided sufficient conditions. Finally, the correctness of the results is demonstrated with an example.

引用

页数：10

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