Abstract

It is difficult to prove a capable sufficient condition for the exact controllability of systems containing nonlinearities and randomness. As a result, scientists are investigating the concept of approximate controllability for such systems. In this paper, we handle the so-called C-controllability, which was suggested as a weaker analog of the exact controllability at the beginning of the period when controllability issue oversteps to stochastic systems. We prove a sufficient condition of C-controllability for a semilinear stochastic system driven by a Wiener process. This sufficient condition is verified on examples. Two ways of improvement of this sufficient condition are discussed.