Abstract: The stability perturbation bounds of a single-input-single-output system with both parametric and dynamic uncertainties is studied. The parametric uncertainties of the systems are described by interval perturbation mode, and the dynamic uncertainties are characterized by an integral quadratic constraint(IQC). Based on the concepts of the Minkowski functional, the problem of stability perturbation bounds is discussed, and for different uncertainty structures of the systems,the infinite stability checking problem of the mixed uncertain system can be converted to finite vertex-checking results and the edge-checking results.

Key words: systems with mixed uncertainties, perturbation bounds, integral quadratic constraint, parametric uncertainty, stability checking, systems with mixed uncertainties, perturbation bounds, integral quadratic constraint, parametric uncertainty, stability checking

摘要： 研究了混合摄动模式下反馈系统鲁棒稳定的摄动界。系统的正向通道为带有参数不确定性的线性系统，其不确定性为区间摄动模式，反馈通道为由积分二次约束给出的输入输出不确定性加以描述。用Minkowski泛函给出区间摄动模式下的摄动界的定义，并给出参数空间中混合摄动模式下系统摄动界的估计式。在一些典型摄动模式下给出这类混合摄动系统的摄动界的有限检验结果。

关键词: 摄动界, 积分二次约束, 参数不确定, 稳定检验, 混合摄动, 摄动界, 积分二次约束, 参数不确定, 稳定检验, 混合摄动