学 术 报 告

题目：A Structure-Preserving Method for Positive Realness Problem in Circuit and Control

演讲人：储德林教授（新加坡国立大学数学系）

时间：2008年12月17日（周三）下午3点

地点：数学楼报告厅102室

报告摘要：
In this talk the positive realness problem in circuit and control theory is concerned. A numerical method is introduced for verifying the positive realness of a given proper rational matrix H(s) for which H(s)+H^T(-s) may have purely imaginary zeros. The method is only based on orthogonal transformations, it is structure-preserving and has a complexity which is cubic in the state dimension of H(s). Some examples are given to illustrate the performance of the method.