Interior point control and observation for the wave equation.
Khapalov, A.Y. (1996)
Abstract and Applied Analysis
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Khapalov, A.Y. (1996)
Abstract and Applied Analysis
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J.-M. Coron (1992-1993)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Ornella Naselli Ricceri (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.
Reinhard Illner, Horst Lange, Holger Teismann (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinger equations, review fundamental criteria for controllability and revisit a classical “No-go” result for evolution equations due to Ball, Marsden and Slemrod. In Section 2 we prove corresponding results on non-controllability for the linear Schrödinger equation and distributed additive control, and we show that the Hartree equation of quantum chemistry with bilinear control is...
Benabdallah, Assia, Naso, Maria Grazia (2002)
Abstract and Applied Analysis
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Antonio López, Enrique Zuazua (1997-1998)
Séminaire Équations aux dérivées partielles
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We address three null controllability problems related to the heat equation. First we show that the heat equation with a rapidly oscillating density is uniformly null controllable as the period of the density tends to zero. We also prove that the same result holds for the finite-difference semi-discretization in space of the constant coefficient heat equation as the step size tends to zero. Finally, we prove that the null controllability of the constant coefficient heat equation...
M. Asch, G. Lebeau (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Ornella Naselli Ricceri (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.