Stabilizability of Infinite Dimensional Systems by Finite Dimensional Control

Author:

Raymond Jean-Pierre1

Affiliation:

1. IMT , UMR 5219 , Université Paul Sabatier Toulouse III and CNRS , 31062 Toulouse Cedex , France

Abstract

Abstract In this paper, we consider control systems for which the underlying semigroup is analytic and the resolvent of its generator is compact. In that case we give a characterization of the stabilizability of such control systems. When the stabilizability condition is satisfied, the system is also stabilizable by finite dimensional controls. We end the paper by giving an application of this result to the stabilizability of the Oseen equations with mixed boundary conditions.

Funder

Agence Nationale de la Recherche

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference34 articles.

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