Lehreinheit Technische Kybernetik

Einladung zum Vortrag im Kolloquium Technische Kybernetik

Immersion of Nonlinear Systems into Polynomial Systems

Prof. Toshiyuki Ohtsuka

Department of Mechanical Engineering
Graduate School of Engineering
Osaka University
Osaka, Japan

    Zeit: Dienstag · 20. 6. 2006 · 16:00 Uhr
    Ort: IST-Seminarraum 3.241 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen

Abstract

Although a state-space representation of a nonlinear system can consist of a various kind of functions, its model structure can be simplified to rational functions or polynomial functions via a mapping called immersion, while preserving the input/output mapping exactly. An immersion is a mapping of the state and, in most cases, maps the state to a higher dimensional space. In this talk, the necessary and sufficient condition for immersibility of a given system into a polynomial system is characterized in terms of the finiteness of a certain field. This algebraic condition is so mild that almost all practical systems can be immersed into a polynomial system.

Biographical Information

For biographical information on Prof. Toshiyuki Ohtsuka please see

http://www-newton.mech.eng.osaka-u.ac.jp/~ohtsuka//profile.htm.