On controllability for a class of stochastic impulsive systems with delays in control

Abstract

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.

Keywords:

• relative controllability
• stochastic systems
• nonlinear systems
• impulsive effects
• control delays

Acknowledgements

The authors thank the anonymous referees for their insightful comments which led to improvements of this article.