报告题目：Realization Theory of Rational Systems on Varieties

报告人：Jan H. van Schuppen

报告时间：2019年4月15日 上午9:00-10:00，

报告地点：002cc白菜资讯三楼报告厅

报告摘要：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.

报告人简介：

    Prof. Jan H. van Schuppen is affiliated as a Professor emeritus with Delft Institute of Applied Mathematics, Delft University of Technology, Delft, 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, in particular in the subareas of stochastic control, filtering, stochastic realization, control of discrete-event systems and of hybrid systems, and control and system theory of rational systems.

  He has acted as research advisor of 12 post-doctoral researchers and of 19 Ph.D. students. His organizational activities include being Co-Editor of the journal Mathematics of Control, Signals, and Systems, editor of two books, coordinator of international projects, and being director of a graduate program.