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.
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页数：17
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