Stochastic controllability of a non-autonomous impulsive system with variable delays in control

Abstract

In this paper, we study the sufficient conditions for the relative controllability of a nonautonomous stochastic impulsive differential equation with variable delays in control. The evolution family, Arzela-Ascoli theorem, Schauder?s fixed point theorem, and stochastic analysis are used to achieve the main results. Two examples are provided in support of the main results.