Section: Partnerships and Cooperations
National Initiatives
ANR
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Project Title : Fluid-Structure Interaction: Modeling, Analysis, Control and Simulation
Participants: Julien Lequeurre, Alexandre Munnier, Jean-François Scheid, Takéo Takahashi
Duration : 48 months (starting on October 1st, 2016)
Other partners: Institut de Mathématiques de Bordeaux, Inria Paris, Institut de Mathématiques de Toulouse
Abstract: The aim of this project is to analyze systems composed by structures immersed in a fluid. Studies of such systems can be motivated by many applications (motion of the blood in veins, fish locomotion, design of submarines, etc.) but also by the corresponding challenging mathematical problems. Among the important difficulties inherent to these systems, one can quote nonlinearity, coupling, free-boundaries. Our objectives include asymptotic analyses of FSIS, the study of controllability and stabilizability of FSIS, the understanding of locomotion of self-propelled structures and the analyze and development of numerical tools to simulate fluid-structure system.
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Project title: QUAntum COntrol: PDE systems and MRI
Duration: 48 months (starting January 1st 2018).
URL: http://www.iecl.univ-lorraine.fr/~Thomas.Chambrion/QUACO/index.html
Abstract The aim of the project is the use of geometrical tools for the study and the control of quantum system with application to MRI.
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Project title: Interaction entre Systèmes Dynamiques, Equations d'Evolution et Contrôle
Other partners: Institut Fourier, Grenoble; Département de Mathématiques d'Orsay
Duration: 36 months (2017-2020)
URL: http://isdeec.math.cnrs.fr/
Abstract The aim of the project is to study the qualitative dynamics of various classes of PDEs and classes of ODEs with special structure. This work program requires expertise in different mathematical domains such as dynamical systems theory, PDE techniques, control theory, geometry, functional analysis... while the current trend in mathematics is for high specialisation. The purpose of this project is to create and extend interactions between experts of these various domains, in order to deepen our understanding of the dynamics of evolution equations and to explore the new challenging questions, which will emerge.
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Project title:Observer Design for Infinite-dimensional Systems
Local coordinator: Karim Ramdani
Duration: 48 months (starting on October 1st 2019)
Participants: Ludovick Gagnon, Karim Ramdani, Julie Valein and Jean-Claude Vivalda.
Other partners: Laas, Lagepp, Inria-Saclay
Abstract: This ANR project includes 3 work-packages
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From finite dimensional systems to infinite dimensional systems : Infinite-dimensional Luenberger observers, Parametric identification and adaptive estimation algorithm, Infinite-dimensional observers for finite-dimensional systems.
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From infinite dimensional systems to finite dimensional systems : discretization, hierarchical reduction.