Exact controllability for temporally wave equation.
Apolaya, Ricardo Fuentes (1994)
Portugaliae Mathematica
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Apolaya, Ricardo Fuentes (1994)
Portugaliae Mathematica
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Lionel Rosier (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Liu, Wei-Jiu (2000)
Portugaliae Mathematica
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Liu, Wei-Jiu, Williams, Graham H. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Karine Beauchard (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a quantum particle in a 1D infinite square potential well with variable length. It is a nonlinear control system in which the state is the wave function of the particle and the control is the length of the potential well. We prove the following controllability result : given close enough to an eigenstate corresponding to the length and close enough to another eigenstate corresponding to the length , there exists a continuous function with , such that and ,...
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.
Carlos Castro (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.
Anna Doubova, A. Osses, J.-P. Puel (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that the system can be viewed as a single equation with discontinuous coefficients in the principal part. Exact controllability to the trajectories is proved when we consider distributed controls supported in the part of the domain where...