Controllability to trajectories for some parabolic systems of three and two equations by one control force

Patricia Gaitan (1) , Assia Benabdallah (1) , Michel Cristofol (1) , Luz de Teresa (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 Instituto de Matematicas

We present a controllability result for a class of linear parabolic systems of 3 equations. To prove the result, we establish a global Carleman estimate for the solutions of a system of 2 coupled parabolic equations with first order terms. We also obtain stability results for the identification of coefficients of the systems are also obtained.

Mots clés: Control; Observability; Carleman estimates; Reaction diffusion systems; Inverse problems problems

Domaines: Equations aux dérivées partielles [math.AP]

Patricia Gaitan, Assia Benabdallah, Michel Cristofol, Luz de Teresa. Controllability to trajectories for some parabolic systems of three and two equations by one control force. 2010. ⟨hal-00474989v1⟩