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Listar Artículos (Ecuaciones Diferenciales y Análisis Numérico) por autor "Ammar-Khodja, Farid"
Mostrando ítems 1-10 de 10
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Artículo
A generalization of the Kalman rank condition for time-dependent coupled linear parabolic systems
Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Ele-Math, 2009-08)In this paper we present a generalization of the Kalman rank condition for linear ordinary differential systems to the ...
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A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Springer, 2009-06)We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant ...
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Artículo
A new relation between the condensation index of complex sequences and the null controllability of parabolic systems
Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2013-10)In this note we present a new result that relates the condensation index of a sequence of complex numbers with the null ...
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Controllability for a class of reaction-diffusion systems: the generalized Kalman's condition
Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Elsevier, 2007-11-15)In this article, we study the controllability of a class of parabolic systems of the form Yt = (D∆+A)Y +Bχωu with Dirichlet ...
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Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences
Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2014-10-01)Let (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B2L(C, Y ), Y ...
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Minimal time of controllability of two parabolic equations with disjoint control and coupling domains
Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2014-05)We consider two parabolic equations coupled by a matrix A(x) = q(x)A0, where A0 is a Jordan block of order 1, and controlled ...
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New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence
Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2016-12-15)We consider the null controllability problem for two coupled parabolic equations with a space-depending coupling term. We ...
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Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Morancey, Morgan (Elsevier, 2018)This paper investigates the link between the null controllability property for some abstract parabolic problems and an ...
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Recent results on the controllability of linear coupled parabolic problems: A survey
Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (American Institute of Mathematical Sciences, 2011-09)This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The ...
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The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials
Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2011-12)This paper is devoted to prove the controllability to trajectories of a system of n one-dimensional parabolic equations ...