Stability of square-mean almost automorphic mild solutions to impulsive stochastic differential equations driven by G-Brownian motion

DOI10.1080/00207179.2019.1575527zbMath1461.93533OpenAlexW2913430536MaRDI QIDQ3386603

Yong Ren, Lanying Hu, Rathinasamy Sakthivel

Publication date: 5 January 2021

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2019.1575527

zbMATH Keywords

stochastic differential equationsLyapunov function method\(G\)-Brownian motionsquare-mean almost automorphicexponentially stability in mean square

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Stochastic stability in control theory (93E15) Impulsive control/observation systems (93C27)

Related Items (6)

Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay ⋮ Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function ⋮ Existence and stability results of mild solutions for random impulsive stochastic partial differential equations with noncompact semigroups ⋮ Qualitative behaviour of stochastic integro-differential equations with random impulses ⋮ Probabilistic analysis of a class of impulsive linear random differential equations via density functions ⋮ Existence and exponential stability of almost pseudo automorphic solution for neutral stochastic evolution equations driven by G-Brownian motion

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