冲击动力系统的鲁棒稳定性分析

考虑冲击动力系统的ｋ－ｐ周期运动的鲁棒稳定性问题。首先，根据微分方程的解、冲击条件和衔接条件，应用迭代法给出了系统存在ｋ－ｐ周期运动的充分必要条件，并利用稳定性的等价原理，通过周期运动的扰动差分方程导出其稳定条件；然后，着重对含有不确定参数的冲击动力系统的ｋ－ｐ周期运动的稳定性进行了分析，得出了鲁棒稳定的充分条件，文末给出了用于阐明理论结果的算例。

ROBUST STABILITY ANALYSIS OF IMPULSIVE DYNAMICAL SYSTEMS

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.