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.
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⟩
