Null Controllability of Nonlinear Fractional Stochastic Large-Scale Neutral Systems

Abstract

This paper is concerned with the problem of null controllability of the newly constructed nonlinear fractional stochastic large-scale neutral systems in the finite dimensional space. In particular, a new set of sufficient conditions are derived based on the concepts of null controllability and under the proved result of the corresponding linear system is null controllable. The results are established by means of the controllability Grammian matrix which is defined by Mittag-Leffler matrix function, Schauder fixed point theorem and the stochastic analysis approach. Finally, an example is provided to illustrate the obtained theoretical result with numerical simulation.