Null Controllability of Impulsive Fractional Delayed Dynamical Systems with Constrained Control

In this paper, the null controllability of the fractional impulsive delayed systems in the finite dimensional space has been considered. Sufficient conditions are derived for the null-controllability of linear and nonlinear impulsive delayed systems with the values of the control function u in an m-dimensional unit cube. Further, Schauder fixed point theorem is used to prove the null controllability of nonlinear system with constrained control. Finally, examples are provided to illustrate the obtained results.