Controllability results for cascade systems of coupled parabolic PDEs by one control force

  • Manuel González-Burgos

    Universidad de Sevilla, Spain
  • Luz de Teresa

    Universidad Nacional Autonoma de México, México, D.F., Mexico

Abstract

In this paper we will analyze the controllability properties of a linear coupled parabolic system of equations when a unique distributed control is exerted on the system. We will see that, when a cascade system is considered, we can prove a global Carleman inequality for the adjoint system which bounds the global integrals of the variable in terms of a unique localized variable. As a consequence, we will obtain the null controllability property for the system with one control force.

Cite this article

Manuel González-Burgos, Luz de Teresa, Controllability results for cascade systems of coupled parabolic PDEs by one control force. Port. Math. 67 (2010), no. 1, pp. 91–113

DOI 10.4171/PM/1859