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arXiv · 2105.10343

Time-optimal control of a two-peakon collision

Tomasz Cieślak·Bidesh Das
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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.

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Tomasz Cieślak, Bidesh Das. 2021-05-21. Time-optimal control of a two-peakon collision. https://arxiv.org/abs/2105.10343

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