Technical comments on the optimal control for linear distributed time-delay
Optimization and Control
2022-01-19 v1
Abstract
The solution to the infinite horizon optimal control problem for linear distributed time-delay systems is presented. The proposal is based on the use of the Cauchy solution for distributed time-delay systems. In contrast with previous results (for punctual time delay systems), the form of the functional and its properties are formally justified. An important property is demonstrated: the Bellman functional admits upper and lower bounds, thus it is proved to be positive definite. Additionally, some experimental results on a temperature process are presented.
Cite
@article{arxiv.2201.05676,
title = {Technical comments on the optimal control for linear distributed time-delay},
author = {Jorge Ortega and Omar Santos and Liliam Rodríguez and Sabine Mondié},
journal= {arXiv preprint arXiv:2201.05676},
year = {2022}
}
Comments
17 pages, 6 figures