Stability of stochastic functional differential equations with impulses

被引：7

作者：

Kuang, Hongyu ^{[1
]}

Li, Jianli ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 145卷

关键词：

Impulsive stochastic system; Stability; Halanay inequality; HALANAY INEQUALITIES; SYSTEMS;

D O I：

10.1016/j.aml.2023.108735

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies the stability of impulsive stochastic functional differential equations. At first, we obtained a new generalization of the Halanay inequality. Then, by applying the generalized Halanay inequality, the exponential stability results of impulsive stochastic functional differential equations are obtained.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

共 9 条

[1]

Baker C., 2000, VOLTERRA EQUATIONS A

[2]

Halanay: A., 1966, Differential Equations: Stability, Oscillations, Time Lags

[3] Caputo-Hadamard fractional Halanay inequality [J].

He, Bin-Bin ;

Zhou, Hua-Cheng .

APPLIED MATHEMATICS LETTERS, 2022, 125

[4] Stability of stochastic functional differential equations with impulses by an average approach [J].

Li, Bing .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 29 :221-233

[5] On the time-varying Halanay inequality with applications to stability analysis of time-delay systems [J].

Li, Haifang ;

Zhou, Bin ;

Hou, Mingzhe ;

Duan, Guangren .

JOURNAL OF THE FRANKLIN INSTITUTE, 2021, 358 (10) :5488-5512

[6] New criterion of asymptotic stability for delay systems with time-varying structures and delays [J].

Liu, Bo ;

Lu, Wenlian ;

Chen, Tianping .

NEURAL NETWORKS, 2014, 54 :103-111

[7] Generalized Halanay inequalities for dissipativity of Volterra functional differential equations [J].

Wen, Liping ;

Yu, Yuexin ;

Wang, Wansheng .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 347 (01) :169-178

[8] Stability analysis and design of impulsive control systems with time delay [J].

Yang, Zhichun ;

Xu, Daoyi .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1448-1454

[9] Time-Varying Halanay Inequalities With Application to Stability and Control of Delayed Stochastic Systems [J].

Zhao, Xueyan ;

Deng, Feiqi .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (03) :1226-1240

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