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山东大学报

学术预告

数学学院珠峰讲坛第42期:Realization Theory of Rational Systems on Varieties

发布:山东大学融媒体中心 日期:2019年04月04日

一、报告题目

Realization Theory of Rational Systems on Varieties

二、主讲人

Jan H. van Schuppen

三、时间

4月11日(周四)10:30-11:30

四、讲坛地点

中心校区知新楼B座924报告厅

五、邀请人

席开华

六、报告内容摘要

The realization problem of continuous-time rational systems is to determine, for a considered response map from inputs to outputs, a rational system whose response map equals the considered response map. Such a system is then called a rational realization of the response map. The problem also includes the classification of all minimal realizations. It will be proven that there exists a finite-dimensional rational realization if and only if a sub-algebra of the response map has a finite set of generators. A realization is minimal if and only if it is both algebraically controllable and algebraically observable.

七、主讲人简介

Prof. Jan H. van Schuppen is affiliated as a Professor emeritus with Delft Institute of Applied Mathematics, Delft University of Technology, The Netherlands. He was awarded the degree of Doctor of Philosophy by the University of California in 1973. His research contributions are in control and system theory.


【供稿单位:数学学院     作者:鲁皓    责任编辑:宋烨 张丹丹】