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Systèmes dynamiques discrets avec frottement et Identification en biomécanique

Abstract : This report is devoted to the study of discrete dynamical systems with friction and to problems of identification in biomechanics. The first part concerns theoretical results of existence, uniqueness and numerical analysis of solutions of non linear differential equations to treat discrete models of dynamical systems involving non smooth nonlinearities. These non smooth nonlinearities are introduced to take into account friction models via maximal monotone differential inclusions of mainly finite dimensional dynamical systems. Some examples and applications are given, with numerical simulations. The second part is related to the resolution of some problems of identification in biomechanics: identification of workspaces, of cinematic parameters for modelization of some movements and of anthropometrical parameters for inverse dynamics.
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https://tel.archives-ouvertes.fr/tel-00864957
Contributor : Jérôme Bastien <>
Submitted on : Monday, September 23, 2013 - 3:38:56 PM
Last modification on : Friday, October 23, 2020 - 4:39:03 PM
Long-term archiving on: : Tuesday, December 24, 2013 - 4:32:53 AM

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Jérôme Bastien. Systèmes dynamiques discrets avec frottement et Identification en biomécanique. Analyse numérique [math.NA]. Université Claude Bernard - Lyon I, 2013. ⟨tel-00864957⟩

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