Controllability analysis for a class of piecewise nonlinear impulsive non‐autonomous systems

This article investigates the controllability for a class of piecewise nonlinear impulsive non‐autonomous systems. The problem is addressed by considering the nonlinearities and impulses as perturbations. First, a standard framework is introduced to transform the issue of controllability to the existence of a fixed point by designing a proper admissible control and constructing a nonlinear operator on a Banach space. Then, two sufficient...