Controllability of nonlinear stochastic impulsive switched systems in Hilbert spaces

Abstract In this paper, nonlinear first order stochastic switched control systems with non‐instantaneous impulses (NIIs) in infinite‐dimensional spaces are considered. Semigroup theory of linear operators and a fixed‐point approach are used to develop the main results. First, we present the mild solution for the proposed system. Then, we derive sufficient conditions to ensure the total controllability and trajectory controllability results. Further, to validate the study, we provide examples.