Stability of impulsive stochastic differential equations in terms of two measures via perturbing Lyapunov functions

DOI10.1016/j.amc.2011.10.082zbMath1242.60059OpenAlexW2057152735MaRDI QIDQ426545

Jitao Sun, Shuorui Zhang, Yu Zhang

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.082

zbMATH Keywords

stabilitystochastic differential equationimpulsive differential equationperturbing Lyapunov functiontwo measures

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

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Stability of sets of stochastic functional differential equations with impulse effect ⋮ Stability of complex-valued impulsive system with delay ⋮ Dynamic analysis of a nonautonomous impulsive single-species system in a random environment ⋮ Stability of Cayley dynamic systems with impulsive effects ⋮ Some recent results of analysis and control for impulsive systems ⋮ Exponential Stability Analysis for Stochastic Delayed Differential Systems with Impulsive Effects: Average Impulsive Interval Approach ⋮ Stability and stabilization of impulsive stochastic delay differential equations ⋮ Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations ⋮ Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model ⋮ Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method

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