Controllability of the Ginzburg-Landau equation

Lionel Rosier (1, 2) , Bing-Yu Zhang (3)

1 IECN - Institut Élie Cartan de Nancy
2 CORIDA - Robust control of infinite dimensional systems and applications
3 Department of Mathematical Sciences [Cincinnati]

This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg-Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators.

Domaines: Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]

Lionel Rosier, Bing-Yu Zhang. Controllability of the Ginzburg-Landau equation. Comptes Rendus. Mathématique, 2008, 346 (3-4), pp.167-172. ⟨10.1016/j.crma.2007.11.031⟩. ⟨hal-00600892⟩