Delay-dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays

被引：42

作者：

Song, Ruili ^{[1
]}

Wang, Bo ^{[1
]}

Zhu, Quanxin ^{[2
,3
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Peoples R China

[3] Chengdu Univ, Sch Informat Sci & Engn, Chengdu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2021年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

asymptotic stability; Lyapunov functional; Markovian switching; nonlinear growth condition; NSDEs with multiple delays; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; SYSTEMS; STABILIZATION; CRITERIA;

D O I：

10.1002/rnc.5275

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, we study the delay-dependent stability of a class of hybrid neutral stochastic differential equations (NSDEs) with multiple delays which is highly nonlinear. Some novel stability criteria are investigated according to Lyapunov functions and generalized Ito's formula. In particular, we generalize and improve the results in Shen et al,Systems & Control Letters(2018) from a single delay to multiple delays.

引用

页码：250 / 267

页数：18

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