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• W2963679723 abstract "We study some optimal control problems on networks with junctions, approximate the junctions by a switching rule of delay-relay type, and study the passage to the limit when $varepsilon$, the parameter of the approximation, goes to zero. First, for a twofold junction problem we characterize the limit value function as a viscosity solution and maximal subsolution of a suitable Hamilton--Jacobi problem. Then, for a threefold junction problem we consider two different approximations, recovering in both cases some uniqueness results in the sense of a maximal subsolution." @default.
• W2963679723 created "2019-07-30" @default.
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• W2963679723 date "2019-01-01" @default.
• W2963679723 modified "2023-10-14" @default.
• W2963679723 title "Hybrid Thermostatic Approximations of Junctions for Some Optimal Control Problems on Networks" @default.
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• W2963679723 doi "https://doi.org/10.1137/17m111907x" @default.
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