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- W2072250861 abstract "The goal of this paper is to study a singular perturbation problem in the framework of optimal control on multidomains. We consider an optimal control problem in which the controlled system contains a fast and a slow variable. This problem is reformulated as a Hamilton--Jacobi--Bellman equation. The main difficulty comes from the fact that the fast variable lives in a multidomain. The geometric singularity of the multidomains leads to the discontinuity of the Hamiltonian. Under a controllability assumption on the fast variable, the limit equation (as the velocity of the fast variable goes to infinity) is obtained via a PDE approach and by means of the tools of the control theory." @default.
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- W2072250861 date "2014-01-01" @default.
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- W2072250861 title "Singular Perturbation of Optimal Control Problems on MultiDomains" @default.
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- W2072250861 doi "https://doi.org/10.1137/130916709" @default.
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