Indirect controllability of locally coupled wave-type systems and applications
TL;DR: In this article, the authors consider symmetric systems of two wave-type equations coupled by zero order terms, localized in part of the domain and prove an internal and a boundary controllability result in any space dimension, provided that both the coupling and the control regions satisfy the Geometric Control Condition.
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About: This article is published in Journal de Mathématiques Pures et Appliquées. The article was published on 01 May 2013. and is currently open access. The article focuses on the topics: Controllability & Intersection.
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Citations
On the penalised hum approach and its applications to the numerical approximation of null-controls for parabolic problems
TL;DR: In this paper, the problem of computing numerical approximations of null-controls for parabolic equations or systems by using the Hilbert Uniqueness Method (HUM) is dealt with.
Controllability of Two Coupled Wave Equations on a Compact Manifold
TL;DR: In this paper, the exact controllability problem on a compact manifold Ω for two coupled wave equations, with a control function acting on one of them only, was considered, and it was shown that the system is controllable if and only if both ω and \({\mathcal{O}}\) satisfy the geometric control condition and the control time is larger than
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Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components
Jean-Michel Coron,Pierre Lissy +1 more
TL;DR: In this paper, a local null controllability result for the three-dimensional Navier-Stokes equations on a (smooth) bounded domain of R^3 with null Dirichlet boundary conditions was proved.
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New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence
TL;DR: In this article, the null controllability problem for two coupled parabolic equations with a space-depending coupling term was considered and a minimal time of control was established for a fixed control interval and a time τ 0 ∈ [ 0, ∞ ].
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Averaged control and observation of parameter-depending wave equations
TL;DR: In this article, the problem of averaged observability and control of wave equations has been studied, where the objective is to recover the energy of the initial data of the adjoint system by measurements done on its averages.
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References
Contrôlabilité exacte des ondes dans des ouverts peu réguliers
TL;DR: In this paper, the exact controlability of the wave equation with Dirichlet boundary conditions was studied in the case of C 3 domains and C 2 coefficients using H-means (or mesures de d´ microlocales).