Approximate controllability of stochastic impulsive systems with control-dependent coefficients

In this study, the authors investigate the approximate controllability of stochastic impulsive systems and stochastic impulsive neutral systems with control-dependent coefficients. Using the Schauder fixed point theorem, the authors derive some sufficient conditions in the form of inequalities for approximate controllability and obtain some useful results of the degenerated systems. By studying the control of the approximate controllability, some conditions for the complete controllability are also obtained. Finally, an example is presented to illustrate the effectiveness of the proposed results.