A Novel Approach to Discriminate Mean-Square Exponential Stability of Hybrid Stochastic Delay Differential Systems

被引：1

作者：

Yu, Han ^{[1
]}

Wu, Ailong ^{[2
]}

Zeng, Zhigang ^{[3
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China

[2] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China

[3] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 11期

关键词：

Stochastic delay differential systems; Markov chain; mean square exponential stability; CRITERIA;

D O I：

10.1109/TCSII.2023.3292270

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A new way of studying nonlinear stochastic delay differential systems with Markov chain is taken in this brief. New explicit identities for the mean square exponential stability of this systems are derived. Subsequently, the corresponding delay-independent and delay-dependent stability theorems are given. Finally, an example is provided to illustrate the validity.

引用

页码：4246 / 4250

页数：5

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