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Transformations opératorielles de problèmes dynamiques et applications

Emmanuel Montseny 1
1 LAAS-DISCO - Équipe DIagnostic, Supervision et COnduite
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : In this thesis, we formalize and study operatorial transformations of general dy- namic problems (nonlinear and/or nonlocal), to simplify or improve signi¯cantly problems like analysis, simulation, identication, control, estimation, etc. First, a generic formalism of dynamic problems, based on the notion of trajectorial formulations, is stated, and some operatorial transformations (a priori nonlocal and/or nonlinear) are studied, like time-scale transforamtions and operatorial parametrization of dynamic models. Then, the advantages of such transformations are highlighted on many concrete examples : desingularization of a nonlocal implicit ame front model, analysis and numerical scheme for a class of integrodierential wave equations, and control of a nonlinear model of fed-batch bioreactor.
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  • HAL Id : tel-01138477, version 1


Emmanuel Montseny. Transformations opératorielles de problèmes dynamiques et applications. Automatique. INSA Toulouse, 2009. Français. ⟨tel-01138477⟩



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