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

Abstract

In this paper, we study the sufficient condition for the controllability of non-autonomous 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. An example is provided in support of the main result.