T-Controllability of Evolution Systems having Non-instantaneous Impulses

Abstract

In this manuscript, we have considered the system governed by a non-instantaneous impulsive dynamical system of integer ordered with classical and non-local conditions and derived sufficient conditions for the trajectory controllability of the system on the Banach space. The conditions were obtained through the concept of semi-group properties of operators and Gronwall's inequality. Finally, illustrations with the classical and non-local conditions were also added to validate the derived conditions.