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Optimal control problems of BV trajectories with pointwise state constraints

Nicolas Forcadel 1 Zhiping Rao 2, 3 Hasnaa Zidani 2, 3
2 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 : This paper deals with some optimal control problems governed by ordinary differential equations with Radon measures as data and with pointwise state constraints. We study the properties of the value function and obtain its characterization by means of an auxiliary control problem of absolutely continuous trajectories. For this, we use some known techniques of reparametrization and graph completion. We are also interested in the characterization of the value function as the unique constrained viscosity solution of a Hamilton-Jacobi equation with measurable time dependant Hamiltonians.
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Submitted on : Monday, November 7, 2011 - 9:58:15 PM
Last modification on : Wednesday, September 23, 2020 - 4:27:29 AM
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Nicolas Forcadel, Zhiping Rao, Hasnaa Zidani. Optimal control problems of BV trajectories with pointwise state constraints. 18th IFAC World Congress, Aug 2011, Milan, Italy. ⟨10.3182/20110828-6-IT-1002.01694⟩. ⟨inria-00639021⟩



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