Time-Optimal Control of Linear Fractional Systems
Optimization and Control
2020-07-02 v3
Abstract
Problem of time-optimal control of linear systems with fractional dynamics is treated in the paper from the convex-analytic standpoint. A linear system of fractional differential equations involving Riemann--Liouville derivatives is considered. A method to construct a control function that brings trajectory of the system to the terminal state in the shortest time is proposed in terms of attainability sets and their support functions.
Cite
@article{arxiv.1409.3946,
title = {Time-Optimal Control of Linear Fractional Systems},
author = {Ivan Matychyn},
journal= {arXiv preprint arXiv:1409.3946},
year = {2020}
}
Comments
Example added, some minor corrections