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Journal Articles Nonlinear Differential Equations and Applications Year : 2014

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.

Dates and versions

hal-01068344 , version 1 (25-09-2014)

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