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

Assia Benabdallah (1) , Michel Cristofol (1) , Patricia Gaitan (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.

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

Domaines: Equations aux dérivées partielles [math.AP]

Assia Benabdallah, Michel Cristofol, Patricia Gaitan, Luz de Teresa. Controllability to trajectories for some parabolic systems of three and two equations by one control force. Mathematical Control and Related Fields, 2014, 4 (1). ⟨hal-00474989v2⟩