北京大学学报(自然科学版)2002,Vol.38Issue(5):661-668,8.
一类混合不确定性系统的摄动界估计问题
Computation of Stability Perturbation Bounds for A Class of Systems with Mixed Uncertainties
摘要
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.关键词
混合摄动/摄动界/积分二次约束/参数不确定/稳定检验Key words
systems with mixed uncertainties/perturbation bounds/integral quadratic constraint/parametric uncertainty/stability checking分类
信息技术与安全科学引用本文复制引用
董海荣,耿志勇,王金枝,黄琳..一类混合不确定性系统的摄动界估计问题[J].北京大学学报(自然科学版),2002,38(5):661-668,8.基金项目
国家自然科学基金(19972001),教育部骨干教师资助计划和国家重点基础研究(G1998020302)专项经费资助项目 (19972001)