Displaying similar documents to “Exact null controllability of structurally damped and thermo-elastic parabolic models”

Exact controllability of shells in minimal time

Paola Loreti (2001)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We prove an exact controllability result for thin cups using the Fourier method and recent improvements of Ingham type theorems, given in a previous paper [2].

Unique continuation principle for systems of parabolic equations

Otared Kavian, Luz de Teresa (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we prove a unique continuation result for a cascade system of parabolic equations, in which the solution of the first equation is (partially) used as a forcing term for the second equation. As a consequence we prove the existence of -insensitizing controls for some parabolic equations when the control region and the observability region do not intersect.

Null-controllability of some systems of parabolic type by one control force

Farid Ammar Khodja, Assia Benabdallah, Cédric Dupaix, Ilya Kostin (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.

Controllability of a quantum particle in a 1D variable domain

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 φ of the particle and the control is the length l ( t ) of the potential well. We prove the following controllability result : given φ 0 close enough to an eigenstate corresponding to the length l = 1 and φ f close enough to another eigenstate corresponding to the length l = 1 , there exists a continuous function l : [ 0 , T ] → ℝ + * with T > 0 , such that l ( 0 ) = 1 and l ( T ) = 1 ,...