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Unbiased group-wise alignment by iterative central tendency estimations

M. S. De Craene, B. Macq, F. Marques, P. Salembier, S. K. Warfield (2008)

Mathematical Modelling of Natural Phenomena

This paper introduces a new approach for the joint alignment of a large collection of segmented images into the same system of coordinates while estimating at the same time an optimal common coordinate system. The atlas resulting from our group-wise alignment algorithm is obtained as the hidden variable of an Expectation-Maximization (EM) estimation. This is achieved by identifying the most consistent label across the collection of images at each voxel in the common frame of coordinates.
In an...

Une nouvelle transformation des réseaux de Petri généralisés : l’abstraction généralisée

Christophe Haro, Patrick Martineau, Christian Proust (2004)

RAIRO - Operations Research - Recherche Opérationnelle

Cet article introduit une nouvelle transformation des réseaux de Petri généralisés appelée l’abstraction généralisée. C’est une réduction dont nous montrons qu’elle conserve les invariants du réseau de départ et les propriétés structurelles les plus importantes. Une fonction de transformation de marquages nous permet d’introduire l’étude de la conservation des propriétés comportementales.

Une nouvelle transformation des réseaux de Petri généralisés : L'abstraction généralisée

Christophe Haro, Patrick Martineau, Christian Proust (2010)

RAIRO - Operations Research

Cet article introduit une nouvelle transformation des réseaux de Petri généralisés appelée l'abstraction généralisée. C'est une réduction dont nous montrons qu'elle conserve les invariants du réseau de départ et les propriétés structurelles les plus importantes. Une fonction de transformation de marquages nous permet d'introduire l'étude de la conservation des propriétés comportementales.

Unicité et contrôle pour le système de Lamé

Mourad Bellassoued (2001)

ESAIM: Control, Optimisation and Calculus of Variations

Dans cet article on étudie le problème de l’unicité locale pour le système de Lamé. On prouve qu’on a l’unicité de Cauchy par rapport à toute surface non caractéristique. Nous donnons également deux résultats de densité qui s’applique à la théorie du contrôle pour le système de Lamé.

Unicité et contrôle pour le système de Lamé

Mourad Bellassoued (2010)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper, we study the uniqueness problem for the Lamé system. We prove that we have the uniqueness property across any non characteristic surface. We also give two results which apply to the boundary controllability for the Lamé system.

Uniform controllability for the beam equation with vanishing structural damping

Ioan Florin Bugariu (2014)

Czechoslovak Mathematical Journal

This paper is devoted to studying the effects of a vanishing structural damping on the controllability properties of the one dimensional linear beam equation. The vanishing term depends on a small parameter ε ∈ ( 0 , 1 ) . We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls v ε as ε goes to zero. It is shown that for any time T sufficiently large but independent of ε and for each initial data in a suitable space there exists a uniformly bounded...

Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity

Sorin Micu, Ionel Rovenţa (2012)

ESAIM: Control, Optimisation and Calculus of Variations

This article considers the linear 1-d Schrödinger equation in (0,π) perturbed by a vanishing viscosity term depending on a small parameter ε > 0. We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls vε as ε goes to zero. It is shown that, for any time T sufficiently large but independent of ε and for each initial datum in H−1(0,π), there exists a uniformly...

Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity

Sorin Micu, Ionel Rovenţa (2012)

ESAIM: Control, Optimisation and Calculus of Variations

This article considers the linear 1-d Schrödinger equation in (0,π) perturbed by a vanishing viscosity term depending on a small parameter ε > 0. We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls vε as ε goes to zero. It is shown that, for any time T sufficiently large but independent of ε and for each initial datum in H−1(0,π), there exists a uniformly...

Uniform local null control of the Leray-α model

Fágner D. Araruna, Enrique Fernández-Cara, Diego A. Souza (2014)

ESAIM: Control, Optimisation and Calculus of Variations

This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized variant of the Navier−Stokes system (α is a small positive parameter) that can also be viewed as a model for turbulent flows. We prove that the Leray-α equations are locally null controllable, with controls bounded independently of α. We also prove that, if the initial data are sufficiently small, the controls converge as α → 0+ to a null control of the Navier−Stokes equations....

Unifying approach to observer-filter design

Václav Černý (2009)

Kybernetika

The paper examines similarities between observer design as introduced in Automatic Control Theory and filter design as established in Signal Processing. It is shown in the paper that there are obvious connections between them in spite of different aims for their design. Therefore, it is prospective to make them be compatible from the structural point of view. Introduced error invariance and error convergence properties of both of them are unifying tools for their design. Lyapunov's stability theory,...

Unique continuation principle for systems of parabolic equations

Otared Kavian, Luz de Teresa (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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 ε-insensitizing controls for some parabolic equations when the control region and the observability region do not intersect.

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