Stability Criteria for Impulsive Stochastic Functional Differential Systems With Distributed-Delay Dependent Impulsive Effects

In this short note, we consider time-varying stochastic functional differential systems with distributed-delay dependent impulsive effects. Such systems arise from a large number of applications, such as financial markets and population dynamics. By developing some inequality techniques and then com...

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Bibliographic Details
Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 51; no. 3; pp. 2027 - 2032
Main Authors Hu, Wei, Zhu, Quanxin
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Delays
Distributed-delay impulsive effect
Economic indicators
exponential stability
History
Numerical stability
Razumikhin theorem
Stability analysis
Stability criteria
stochastic time-delay system
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ISSN2168-2216
2168-2232
DOI10.1109/TSMC.2019.2905007

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Summary:In this short note, we consider time-varying stochastic functional differential systems with distributed-delay dependent impulsive effects. Such systems arise from a large number of applications, such as financial markets and population dynamics. By developing some inequality techniques and then combining stochastic analysis theory, Lyapunov approach, some stability criteria for such systems are established. The feature of the criteria shows that derivatives of the Razumikhin functions are allowed to be indefinite, and the restrictions with respect to the system parameters is very loose. Finally, we carry out two numerical experiments to show the usefulness and significance of the criteria.
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ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2019.2905007