AN UNBOUNDED STABILIZATION PROBLEM FOR DISTRIBUTED LINEAR SYSTEMS

摘要

The aim of this paper is to extend the results on regional stability developed by the authors [17] to the case where the target subregion is a surface. We consider a linear distributed parameter system, and we explore the problem of stabilizing this system on a subregion (internal or boundary) of the spatial domain. We give sufficient conditions ensuring the regional stabilizability and we characterize the minimum cost stabilizing control. Illustrative examples are given.