New criteria on pth moment exponential stability of stochastic delayed differential systems subject to average-delay impulses

This note develops new stability criteria for stochastic delayed differential systems with average-delay impulses by using Razumikhin approach, stochastic analysis technique, average impulsive delay (AID) condition and average dwell time. Our results show that delayed system with destabilizing delay...

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Bibliographic Details
Published inSystems & control letters Vol. 164
Main Authors Xu, Haofeng, Zhu, Quanxin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2022
Subjects
Average dwell time
Average-delay impulse
Delayed systems
Exponential stability
Razumikhin approach
Razumikhin approach
Delayed systems
Average-delay impulse
Exponential stability
Average dwell time
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Summary:This note develops new stability criteria for stochastic delayed differential systems with average-delay impulses by using Razumikhin approach, stochastic analysis technique, average impulsive delay (AID) condition and average dwell time. Our results show that delayed system with destabilizing delay-dependent impulses is pth moment exponentially stable, where delays in impulses can be flexible enough compared with some recent works. The feature of the criteria is that the Razumikhin function is allowed to be a time-varying and sign-changing function, which looses some restrictions of the existing results. Furthermore, a numerical example is performed to account for the effectiveness and the correctness of our theory.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2022.105234