ROBUST STABILITY ANALYSIS OF IMPULSIVE DYNAMICAL SYSTEMS
冲击动力系统的鲁棒稳定性分析

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 periodic solutions.Finally, we put einphasis on analysing the stability of k-p periodic solutions for the impulsive dynamical systelns with uncertain parameters.The sufficeint conditions for robust stability are further obtained.The theoretical results are illustrated by an example.