The value function of an asymptotic exit-time optimal control problem

Abstract : We consider a class of exit--time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and known regularity and stability properties do not hold. In this paper we obtain such properties and a uniqueness result under some explicit sufficient conditions. We briefly investigate also the infinite horizon problem.
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Nonlinear Differential Equations and Applications, Springer Verlag, 2014, 〈10.1007/s00030-014-0274-1〉
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https://hal.inria.fr/hal-01068344
Contributeur : Estelle Bouzat <>
Soumis le : jeudi 25 septembre 2014 - 14:41:08
Dernière modification le : lundi 12 février 2018 - 14:24:05

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Monica Motta, Caterina Sartori. The value function of an asymptotic exit-time optimal control problem. Nonlinear Differential Equations and Applications, Springer Verlag, 2014, 〈10.1007/s00030-014-0274-1〉. 〈hal-01068344〉

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