Exponential stability of impulsive stochastic partial differential equations with delays

DOI10.1016/j.spl.2017.03.016zbMath1379.60071OpenAlexW2602114516WikidataQ115566862 ScholiaQ115566862MaRDI QIDQ2405938

Xiao-Ming Fan, Dingshi Li

Publication date: 28 September 2017

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2017.03.016

zbMATH Keywords

exponential stabilitydelaysstochasticimpulsive control

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Impulsive partial differential equations (35R12)

Related Items (6)

New impulsive-integral inequality for stochastic differential equations with Poisson jumps and Caputo fractional derivative ⋮ Input-to-state stability of impulsive stochastic infinite dimensional systems with Poisson jumps ⋮ Existence and mean-square exponential stability of mild solutions for impulsive stochastic partial differential equations with noncompact semigroup ⋮ Impulses-induced p-exponential input-to-state stability for a class of stochastic delayed partial differential equations ⋮ Stabilization of Boolean control networks with stochastic impulses ⋮ Stochastic Input-to-State Stability of Impulsive Stochastic Nonlinear Systems in Infinite Dimensions

Cites Work

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• Fixed points and stability of neutral stochastic delay differential equations
• Attracting and quasi-invariant sets of stochastic neutral partial functional differential equations
• The exponential stability of neutral stochastic delay partial differential equations
• Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays
• Moment estimate and existence for solutions of stochastic functional differential equations
• Exponential stability of mild solutions of stochastic partial differential equations with delays
• Asymptotic stability of second-order neutral stochastic differential equations
• Stochastic Equations in Infinite Dimensions

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