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Characterization of the value function of final state constrained control problems with BV trajectories
Abstract : This paper aims to investigate a control problem governed by differential equations with Radon measure as data and with final state constraints. By using a known reparametrization method (by Dal Maso and Rampazzo [18]), we obtain that the value function can be characterized by means of an auxiliary control problem of absolutely continuous trajectories, involving time-measurable Hamiltonian. We study the characterization of the value function of this auxiliary problem and discuss its numerical approximations.
Cited literature [29 references]
https://hal.inria.fr/inria-00627518
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Wednesday, September 28, 2011 - 6:44:26 PM
Last modification on : Friday, February 19, 2021 - 4:10:02 PM
Long-term archiving on: : Thursday, December 29, 2011 - 2:31:05 AM
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Wednesday, September 28, 2011 - 6:44:26 PM
Last modification on : Friday, February 19, 2021 - 4:10:02 PM
Long-term archiving on: : Thursday, December 29, 2011 - 2:31:05 AM
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