Stabilization of stochastic functional differential systems with delayed impulses

Xiaozheng Fu, Quanxin Zhu and Yingxin Guo

Applied Mathematics and Computation, 2019, vol. 346, issue C, 776-789

Abstract: This paper is concerned with the stabilization problem for a class of stochastic functional differential system with delayed impulses. By applying a generalized comparison principle and the average dwell time method, some sufficient criteria for input-to-state stable (ISS) type and exponential stability properties are derived. The coefficients of the upper bound for the diffusion operator of Lyapunov functions are allowed to be time-varying, which improves the existing results greatly. Two numerical examples are presented to illustrate the effectiveness of the proposed results.

Keywords: Stabilization; Stochastic functional differential systems; Delayed impulses; Average dwell time method; Time-varying coefficients (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:346:y:2019:i:c:p:776-789

DOI: 10.1016/j.amc.2018.10.063

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