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Optimal control problems on stratifiable state constraints sets.
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.
https://hal.inria.fr/hal-01024622
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Wednesday, July 16, 2014 - 2:01:22 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:05 PM
Long-term archiving on: : Monday, November 24, 2014 - 4:23:01 PM
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Wednesday, July 16, 2014 - 2:01:22 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:05 PM
Long-term archiving on: : Monday, November 24, 2014 - 4:23:01 PM
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Hermosilla-NETCO2014.pdf
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