Pole placement in infinite dimensions and functional models of linear operators

Author:	Yakubovich Dmitry, Universidad Autonoma de Madrid, Spain
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems II
Keywords:	Pole assignment, complete controllability, spectral analysis, feedback stabilization,state space models

Abstract

Starting from a continuous time linear time-invariantsystem, a linearly similar variant of the Nagy--Foiasmodel of the main operator of the system is constructed.A pole placement result, expressed in termsof invertibility of a certain Toeplitz operator, is obtained by applyingthis model. A numerical example of pole placement is given.