Exact controllability for a semilinear wave equation with both interior and boundary controls.
Ton, Bui An (2005)
Abstract and Applied Analysis
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Ton, Bui An (2005)
Abstract and Applied Analysis
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Ton, Bui An (2006)
Abstract and Applied Analysis
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Saint Jean Paulin, Jeannine, Vanninathan, M. (1994)
Portugaliae Mathematica
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Liu, Wei-Jiu (2000)
Portugaliae Mathematica
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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.
Lionel Rosier (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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K. Beauchard, E. Zuazua (2009)
Annales de l'I.H.P. Analyse non linéaire
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Jean-Pierre Raymond, Muthusamy Vanninathan (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability...
Wang, Lianwen (2005)
Journal of Applied Mathematics and Stochastic Analysis
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