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On controllability for a class of stochastic impulsive systems with delays in control. (English) Zbl 1307.93069

Summary: In this work, we study the controllability of stochastic impulsive systems with distributed delays in control in finite dimensional spaces. Some sufficient criteria ensuring the relative controllability of the nonlinear stochastic impulsive delayed systems are established. The results are obtained using the Banach fixed point theorem. Finally, an example is also discussed to illustrate the efficiency of the obtained results. Some important comments are included on nonlinear stochastic control problems.

MSC:

93B05 Controllability
93C10 Nonlinear systems in control theory
93E03 Stochastic systems in control theory (general)
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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