pth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control

被引：3

作者：

Li, Zhao ^{[1
,2
]}

机构：

[1] Chengdu Univ, Coll Comp Sci, Chengdu, Peoples R China

[2] Sichuan Normal Univ, C & VR Key Lab Sichuan Prov, Chengdu, Sichuan, Peoples R China

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2023年 / 2023卷 / 01期

关键词：

pth moment stability; Stochastic functional differential equations; Impulsive; Markovian switching; Comparison principle; EXPONENTIAL STABILITY;

D O I：

10.1186/s13662-023-03757-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the problem of pth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control via comparison principle. Employing stochastic analysis theory and an impulsive delay differential inequality, we establish a new comparison principle for stochastic functional differential equations with Markovian switching and impulsive control. Using the comparison principle, we derive sufficient conditions for stochastic functional differential equations with Markovian switching and impulsive control by the stability of impulsive delay differential equations. An example is provided to show the effectiveness of the proposed results.

引用

页数：9

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