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- W4287178594 abstract "We study a time-optimal control problem of a two-peakon collision. First, we state the controllability. Next, we find the time-optimal strategy. This is done via the HamiltonJacobi-Bellman equation and the dynamic programming method. We find a tricky way to solve a corresponding Hamilton-Jacobi-Bellman equation. Our approach can be extended to more general control problems. Indeed, a special version of a maximum principle for time-optimal controls of particular Hamiltonian systems is proposed." @default.
- W4287178594 created "2022-07-25" @default.
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- W4287178594 date "2021-05-21" @default.
- W4287178594 modified "2023-09-27" @default.
- W4287178594 title "Time-optimal control of a two-peakon collision" @default.
- W4287178594 doi "https://doi.org/10.48550/arxiv.2105.10343" @default.
- W4287178594 hasPublicationYear "2021" @default.
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