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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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https://hal.inria.fr/hal-01068344
Contributor : Estelle Bouzat <>
Submitted on : Thursday, September 25, 2014 - 2:41:08 PM
Last modification on : Sunday, March 29, 2020 - 6:22:03 PM

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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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