Asymptotic stability analysis of nonlinear stochastic semi-Markov jump systems

被引：2
|
作者：
Liu, Jiamin [1 ,2 ,3 ]
Colaneri, Patrizio [2 ]
Bolzern, Paolo [2 ]
Li, Zhao-Yan [1 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[2] Politecn Milan, Dipartimento Elettron Informaz & Bioingn, Milan, Italy
[3] Jimei Univ, Sch Sci, Xiamen, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2023年 / 33卷 / 14期
基金：
中国国家自然科学基金;
关键词：
almost sure stability; moment stability; semi-Markov jump; stochastic equations; stochastic stability in the large; LINEAR-SYSTEMS; DIFFERENTIAL-EQUATIONS; DELAY; MODEL;
D O I：
10.1002/rnc.6837
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 article, three different types of stochastic asymptotic stability for nonlinear stochastic semi-Markov jump systems (SSMJS) are investigated. Novel sufficient conditions for p$$ p $$th (p>0)$$ \left(p>0\right) $$-moment asymptotic stability, almost sure asymptotic stability and stochastic asymptotic stability in the large are obtained. It is remarkable that the obtained results in the latter case cover the results in existing literature. Finally, two examples are presented to confirm the validity of the obtained theoretical results.
引用
收藏
页码：8615 / 8630
页数：16
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