Necessary and sufficient conditions for moment stability of positive Markov jump linear systems

被引：0
|
作者：
Liu, Jiamin [1 ,2 ]
Colaneri, Patrizio [2 ,3 ]
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, I-20133 Milan, Italy
[3] Politecn Milan, IEIIT CNR DEIB, I-20133 Milan, Italy
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 136卷
基金：
中国国家自然科学基金;
关键词：
Positive system; Markov jump; Nonlinear stochastic equations; Moment stability; STOCHASTIC STABILITY; CRITERIA; DELAY;
D O I：
10.1016/j.aml.2022.108449
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the problems of stability for positive Markov jump linear systems (PMJLSs) and its application to nonlinear Markov jump stochastic systems (MJSSs). First, we provide sufficient and necessary conditions for p -moment exponential stability of PMJLS. Then, based on the proposed results on p-moment exponential stability of PMJLS, we obtain explicit stability criteria for nonlinear MJSSs. Finally, two numerical examples are presented to confirm the validity of the obtained theoretical results.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：10
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