Abstract: This paper is concerned with the problem of stability robustness for the k-p periodic solutions of impulsive dynamical systems.First of all,based on the solutions of differential equations, impulsive conditions and loint conditions.necessary and sufficient conditions for the existence of k-p periodic solutions of the system are presented by using the iterative method.Then,utilizing tlie equivalent principle of stability,we derived the stability conditions through the perturbed difference equations of period...