New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays

This paper investigates pth moment exponential stability of impulsive stochastic delayed differential systems with infinite delays. The main idea is to construct a positive function q(t) that is determined by the infinite delay. Results show that initially unstable systems are able to be stable with...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2022-08, Vol.111, p.106460, Article 106460
Main Authors: Xu, Haofeng, Zhu, Quanxin
Format: Article
Language:English
Subjects:
Differential equations
Exponential stability
Impulsive
Infinite delay
Nonlinear systems
Numerical analysis
Razumikhin technique
Stability criteria
Stochastic delayed differential system
Stochastic models
Systems stability
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Summary:This paper investigates pth moment exponential stability of impulsive stochastic delayed differential systems with infinite delays. The main idea is to construct a positive function q(t) that is determined by the infinite delay. Results show that initially unstable systems are able to be stable with the impulse effects if the frequency and intensity are suitable. In the meanwhile, the corollaries give several sufficient conditions on the stability of systems in specific circumstances correspondingly. Finally, two numerical examples are performed to account for the effectiveness of the theoretical results. •This paper investigates impulsive stochastic delayed differential systems with infinite delays.•We construct a positive function q(t) that is determined by the infinite delay.•Our results show that impulses can stabilize unstable systems if the frequency and intensity are suitable.•Two numerical examples are given to account for the effectiveness of the theoretical results.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2022.106460