Topic:Realization Theory of Rational Systems on Varieties

Speaker:Jan H. van Schuppen

Abstract: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.

Introduction of Speaker: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.

Inviter:Xi Kaihua

Time:10:30-11:30 on April 11(Thursday)

Place:924 Conference Hall, Block B of Zhixin Building, Central Campus

Hosted by: School of Mathematics, Shandong University