Mean square stability of continuous-time delay-difference systems with Markovian switching

被引：0

作者：

Zhang, Qianqian ^{[1
]}

Xu, Shenxi ^{[2
]}

Li, Zhao-Yan ^{[3
]}

机构：

[1] Civil Aviat Flight Univ China, Sch Sci, Chengdu, Peoples R China

[2] Harbin Engn Univ, Southampton Ocean Engn Joint Inst, Harbin, Peoples R China

[3] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2025年

基金：

中国国家自然科学基金;

关键词：

Continuous-time delay-difference systems; Markovian switching; mean square (L-2)-exponential stability; Lyapunov-Krasovskii functionals; EXPONENTIAL STABILITY; EQUATIONS; MOMENT;

D O I：

10.1080/00207721.2025.2469820

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 analysis problem of continuous-time delay-difference systems with Markovian switching is studied. Firstly, a condition based on linear matrix inequalities (LMIs) for the transformation of mean square L-2-exponential stability into mean square exponential stability and a Lyapunov-Krasovskii functional (LKF) stability theorem to test the mean square L-2-exponential stability with a guaranteed convergence rate are established. Then, for a class of particular systems with both point delays and distributed delays having exponential integral kernels, less conservative stability conditions based on LMIs are established by constructing a mode-dependent LKF. Finally, some numerical examples are worked out to illustrate the effectiveness and superiority of the theoretical results.

引用

页数：17

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