Exponential stability of neutral stochastic delay differential equation with delay-dependent impulses

Xiaozheng Fu and Quanxin Zhu

Applied Mathematics and Computation, 2020, vol. 377, issue C

Abstract: In this paper, we mainly consider exponential stability (ES) for a type of neutral stochastic delay differential equations with delay-dependent impulses (NSDDEWDI). By means of the average dwell time (ADT) condition, a new sufficient criterion for ES is given. The infinitesimal operator of Lyapunov functions is controlled by two time-variant coefficients. Furthermore, these new conditions are calculated through an example so as to verify the validity of our results.

Keywords: Neutral item; Exponential stability; Stochastic system; Delay-dependent impulses; Time-variant coefficients; Average dwell time (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301156

DOI: 10.1016/j.amc.2020.125146

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