Contrôlabilité exacte d’un modèle de plaques vibrantes en un temps arbitrairement petit. (Exact controllability of a vibrating plate model for an arbitrarily small time). (French) Zbl 0611.49028

Zuazua, Enrike

C. R. Acad. Sci., Paris, Sér. I 304, 173-176 (1987).

This note shows that in a system of Petrowsky type if the control acts through both boundary conditions, then the exact controllability property is valid in an arbitrary small time.

Reviewer: D.Tiba

MSC:

93B03	Attainable sets, reachability
35L05	Wave equation
93B05	Controllability
35B37	PDE in connection with control problems (MSC2000)
74H45	Vibrations in dynamical problems in solid mechanics
93C20	Control/observation systems governed by partial differential equations
49J20	Existence theories for optimal control problems involving partial differential equations

Keywords:

system of Petrowsky type; exact controllability; arbitrary small time