Exponential stability of stochastic functional differential equations with impulsive perturbations and Markovian switching

被引:5
|
作者
Tran, Ky Q. [1 ]
Yin, George [2 ]
机构
[1] State Univ New York, Dept Appl Math & Stat, Korea Campus, Incheon 21985, South Korea
[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
关键词
Stochastic functional differential equation; Exponential stability; Impulsive perturbation; Markovian switching; NEURAL-NETWORKS; SYSTEMS;
D O I
10.1016/j.sysconle.2023.105457
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper focuses on moment exponential stability of stochastic functional differential equations with impulsive perturbations and Markovian switching. In contrast to the progress in the literature, this work provides new criteria for moment exponential stability and new methods for computing moment Lyapunov exponents of impulsive stochastic functional differential equations with Markovian switching. The effects of impulsive perturbations are revealed. Several examples are provided to demonstrate the effectiveness of our criteria.(c) 2023 Elsevier B.V. All rights reserved.
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页数:8
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