NULL-CONTROLLABILITY OF SOME SYSTEMS OF PARABOLIC TYPE BY ONE CONTROL FORCE

Cédric Dupaix (1) , F. Ammar Khodja , A. Benabdallah , I. Kostin

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.

Domaines: Equations aux dérivées partielles [math.AP]

Cédric Dupaix, F. Ammar Khodja, A. Benabdallah, I. Kostin. NULL-CONTROLLABILITY OF SOME SYSTEMS OF PARABOLIC TYPE BY ONE CONTROL FORCE. ESAIM: Control, Optimisation and Calculus of Variations, 2005, 11, pp.426-448. ⟨hal-00474059⟩