Approximate controllability for a linear model of fluid structure interaction
Axel Osses, Jean-Pierre Puel (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Axel Osses, Jean-Pierre Puel (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Boris Kapitonov, Bernadette Miara, Gustavo Perla Menzala (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary...
Enrique Zuazua (1999)
Journées équations aux dérivées partielles
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We discuss a control problem for the Lamé system which naturally leads to the following uniqueness problem: Given a bounded domain of , are there non-trivial solutions of the evolution Lamé system with homogeneous Dirichlet boundary conditions for which the first two components vanish? We show that such solutions do not exist when the domain is Lipschitz. However, in two space dimensions one can build easily polygonal domains in which there are eigenvibrations with the first component...
M. I. Belishev, I. Lasiecka (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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The boundary control problem for the dynamical Lame system (isotropic elasticity model) is considered. The continuity of the “input state” map in -norms is established. A structure of the reachable sets for arbitrary is studied. In general case, only the first component of the complete state may be controlled, an approximate controllability occurring in the subdomain filled with the shear (slow) waves. The controllability results are applied to the problem of the boundary data...
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 ,...
Apolaya, Ricardo Fuentes (1994)
Portugaliae Mathematica
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