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A note on generalized exponential stability of impulsive stochastic functional differential equations

Dehao Ruan,Yao Lu,Quanxin Zhu

Applied Mathematics Letters（2024）

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Abstract
This brief considers the generalized exponential stability of impulsive stochastic functional differential equations (ISFDEs). Initially, An extension of Halanay inequality is derived. Subsequently, by employing this generalized Halanay inequality, we establish the generalized exponential stability result for the given systems.
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Key words
Generalized Halanay inequality,Decay rate,Impulsive stochastic delay systems
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