Time-optimal control of a two-peakon collision
Optimization and Control
2021-05-24 v1
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.
Cite
@article{arxiv.2105.10343,
title = {Time-optimal control of a two-peakon collision},
author = {Tomasz Cieślak and Bidesh Das},
journal= {arXiv preprint arXiv:2105.10343},
year = {2021}
}