Geodesic
Exact boundary controllability of a hybrid system of elasticity by the HUM method
ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 183-199 Cet article a éte moissonné depuis la source Numdam

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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.

Classification : 93C20, 35B37, 35D05, 73K50
Keywords: hybrid system, weak solution, exact controllability, singular control, unique continuation 
@article{COCV_2001__6__183_0,
     author = {Rao, Bopeng},
     title = {Exact boundary controllability of a hybrid system of elasticity by the {HUM} method},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {183--199},
     year = {2001},
     publisher = {EDP-Sciences},
     volume = {6},
     mrnumber = {1816072},
     zbl = {0962.93048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COCV_2001__6__183_0/}
}
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Rao, Bopeng. Exact boundary controllability of a hybrid system of elasticity by the HUM method. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 183-199. http://geodesic.mathdoc.fr/item/COCV_2001__6__183_0/