Optimal synthesis in the simplest time-optimal problem with a linear state constraint
Optimization and Control
2022-01-31 v2
Abstract
We consider the time-optimal problem for a classical system of "double integrator" under the presence of a linear state constraint. By using the Maximum Principle of Dubovitskii and Milyutin, we determine a complete synthesis of optimal trajectories and qualitatively analyze the corresponding Lagrange multipliers.
Cite
@article{arxiv.2009.13086,
title = {Optimal synthesis in the simplest time-optimal problem with a linear state constraint},
author = {Andrei Dmitruk and Ivan Samylovskiy},
journal= {arXiv preprint arXiv:2009.13086},
year = {2022}
}
Comments
27 pages, 9 figures