Time-optimality by distance-optimality for parabolic control systems

TL;DR

This paper demonstrates the equivalence between time-optimal and distance-optimal control problems for parabolic systems, enabling more efficient algorithms for solving time-optimal control problems with practical numerical validation.

Contribution

It establishes the theoretical equivalence for a class of parabolic systems and proposes an efficient algorithmic approach for time-optimal control problems.

Findings

The equivalence holds for a class of parabolic control systems.

The proposed approach is effective in practical numerical examples.

Numerical results confirm the efficiency of the method.

Abstract

The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient algorithmic solution of time-optimal control problems is investigated. Numerical examples are provided to illustrate that the approach works well is practice.