Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
Lionel Rosier (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Lionel Rosier (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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T. Horsin (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Weijiu Liu (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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S. Guerrero, O. Yu. Imanuvilov (2007)
Annales de l'I.H.P. Analyse non linéaire
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Alexander Y. Khapalov (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain via the coefficient (bilinear control) in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability...
Sergei Ivanov (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Bopeng Rao (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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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.