Optimal control problems on stratifiable state constraints sets.

Cristopher Hermosilla 1, 2 Hasnaa Zidani 1, 2
2 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées
Abstract : We consider an infinite horizon problem with state constraints K : inf Z 1 0 e t'(yx;u(t); u(t))dt u : [ 0 ;+1) ! A measurable yx;u(t) 2 K 8t 0 (P) : where > 0 is fixed and yx;u( ) is a trajectory of the control system ( y_ = f (y; u) a.e. t 0 y(0) = x 2 K We are mainly concerned with a characterization of the value function of (P) as the bilateral solution to a Hamilton-Jacobi-Bellman equation.
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Cristopher Hermosilla, Hasnaa Zidani. Optimal control problems on stratifiable state constraints sets.. NETCO 2014 - New Trends in Optimal Control, Mar 2014, Tours, France. ⟨hal-01024622⟩

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