Exact boundary controllability of a Hybrid System of Elasticity by the HUM Method.

Bopeng Rao (1)

1 IRMA - Institut de Recherche Mathématique Avancée

We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.

Mots clés: "hybrid system; weak solution; exact controllability; singular control; unique continuation"; hybrid system; unique continuation

Domaines: Optimisation et contrôle [math.OC]

Bopeng Rao. Exact boundary controllability of a Hybrid System of Elasticity by the HUM Method.. 2000. ⟨hal-00129637⟩