A Note on Global Optimization for Max-Plus Linear Systems
Optimization and Control
2021-03-30 v1
Abstract
This note further addresses the global optimization problem for max-plus linear systems considered in [Automatica 119 (2020) 109104]. Firstly, the operations between infinity elemens and real numbers involved in the formulas of solving global optimization problems are explained explicitly. Secondly, the formula of the greatest lower bound and the criterion of solvability of globally optimal solutions are simplified. Thirdly, the criterion of uniqueness of globally optimal solutions and the set of all globally optimal solutions are presented.
Cite
@article{arxiv.2103.15271,
title = {A Note on Global Optimization for Max-Plus Linear Systems},
author = {Cailu Wang and Yuegang Tao},
journal= {arXiv preprint arXiv:2103.15271},
year = {2021}
}