Oguchi, Toshiki (Tokyo Metropolitan Univ.)

Solvability Condition of Finite Spectrum Assignment Problem for Retarded Nonlinear Systems and Its Geometric Interpretation

Scheduled for presentation during the Regular Session "Delay Systems" (FrP06), Friday, July 28, 2006, 17:25−17:50, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 24, 2024

Abstract

The aim of this paper is to show a necessary and sufficient condition for the solvability of a class of finite spectrum assignment problem for retarded nonlinear systems and to give a geometric interpretation of the condition. For the purpose, we introduce extensions of some notions of differential geometry for differential-difference equation systems. The obtained condition is an extension of the condition for the exact linearization of finite dimensional nonlinear systems and the finite spectrum assignment of retarded linear systems with controllability over polynomial rings.