Journal
SYSTEMS & CONTROL LETTERS
Volume 136, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2019.104606
Keywords
Impulsive stochastic delayed differential equation; Razumikhin theorem; Exponential stability; Unbounded delay
Funding
- National Natural Science Foundation of China [61773217]
- Natural Science Foundation of Jiangsu Province, China [BK20191033]
- China Postdoctoral Science Foundation [2018M632325]
- Hunan Provincial Science and Technology Project Foundation, China [2019RS1033]
- Scientific Research Fund of Hunan Provincial Education Department, China [18A013]
- Hunan Normal University National Outstanding Youth Cultivation Project [XP1180101]
- Construct Program of the Key Discipline in Hunan Province
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In this paper, the stability analysis for impulsive stochastic delayed differential equations with unbounded delays is considered by applying stochastic analysis techniques and average dwell time approach. A novel Razumikhin-type criterion of the pth moment exponential stability is derived for the related systems. The feature of the criterion shows that time-derivatives of the Lyapunov functions are allowed to be indefinite, even unbounded, which can loosen the constraints of the existing results. As a corollary, the criterion of the pth moment exponential stability for stochastic delayed differential equations with unbounded delays without impulsive effects is also obtained. Finally, some examples are given to illustrate the usefulness and significance of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
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