On controllability of semilinear generalized impulsive systems on finite dimensional space

This article presents sufficient conditions for the complete controllability of generalized semilinear impulsive systems in a finite-dimensional space.The analysis focuses on cases where the nonlinear perturbation functions satisfy the Lipschitz continuity condition.We establish these conditions by leveraging functional analysis techniques and various fixed-point theorems.Furthermore, a numerical example is included to demonstrate the effectiveness of the proposed results.