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

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