Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps

DOI10.1186/S13662-019-2461-1zbMath1487.93012OpenAlexW3030844628MaRDI QIDQ2144082

K. Ravikumar, Dumitru Baleanu, Annamalai Anguraj

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2461-1

zbMATH Keywords

approximate controllabilitymild solutionsimpulsive systemsPoisson jumps

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Controllability (93B05) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Jump processes on general state spaces (60J76)

Related Items (10)

APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC SYSTEMS DRIVEN BY ROSENBLATT PROCESS AND BROWNIAN MOTION ⋮ Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition ⋮ Controllability of impulsive neutral stochastic integro-differential systems driven by fractional Brownian motion with delay and Poisson jumps ⋮ Approximate controllability for impulsive stochastic delayed differential inclusions ⋮ Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps ⋮ Existence and controllability results for stochastic impulsive integro-differential equations with infinite delay ⋮ Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process ⋮ Approximate controllability of nonautonomous second-order nonlocal measure driven systems with state-dependent delay ⋮ Finite-time \(H_2/ H_\infty\) control design for stochastic Poisson systems with applications to clothing hanging device ⋮ Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation

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