Optimal control problems with free right end point
Optimization and Control
2025-03-13 v1 History and Overview
Abstract
This paper is dedicated to the elementary proof of Pontryagin's maximum principle for problems with free right end point. The proof for the standard problem is taken from the monography of Ioffe and Tichomirov. We assume piecewise continuous controls and the proof turns out to be very simple. We generalize the concept to the problem of optimal multiprocesses, to control problems with delays and to the control of Volterra integral equations. Furthermore, we discuss the problem on infinite horizon. Moreover, we state Arrow type sufficiency conditions. The optimality conditions are demonstrated on illustrative examples.
Cite
@article{arxiv.2503.07134,
title = {Optimal control problems with free right end point},
author = {Nico Tauchnitz},
journal= {arXiv preprint arXiv:2503.07134},
year = {2025}
}
Comments
in german. arXiv admin note: substantial text overlap with arXiv:1610.02829