Relative controllability of fractional stochastic dynamical systems with multiple delays in control

Abstract

This paper is concerned with the global relative controllability of fractional stochastic dynamical systems with multiple delays in control for finite dimensional spaces. Sufficient conditions for controllability results are obtained using Banach fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. An example is provided to illustrate the theory.