Time-optimal control of a two-peakon collision

2021/05/21 by Cieślak, Tomasz, Das, Bidesh
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2105.10343

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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