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Commande optimale

Joseph Frédéric Bonnans 1, 2
1 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : The optimal control theory analyzes how to optimize dynamical systems with various criteria : reach a target in minimal time or minimal energy, maximize the efficiency of an industrial process for instance. This involves the optimization of both time independent parameters, and the control variables that are function of time. The article analyzes the first and second order optimality conditions, and the ways to solve them, by time discretization, the shooting algorithm, or dynamic programming.
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Contributor : J. Frederic Bonnans <>
Submitted on : Monday, December 21, 2015 - 9:45:19 AM
Last modification on : Thursday, March 5, 2020 - 6:31:30 PM
Long-term archiving on: : Saturday, April 29, 2017 - 11:01:10 PM


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  • HAL Id : hal-01247050, version 1


Joseph Frédéric Bonnans. Commande optimale . 2015, pp.29. ⟨hal-01247050⟩



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