Consistent Discretization of a Class of Predefined-Time Stable Systems
Optimization and Control
2020-01-24 v1 Systems and Control
Systems and Control
Abstract
As the main contribution, this document provides a consistent discretization of a class of fixed-time stable systems, namely predefined-time stable systems. In the unperturbed case, the proposed approach allows obtaining not only a consistent but exact discretization of the considered class of predefined-time stable systems, whereas in the perturbed case, the consistent discretization preserves the predefined-time stability property. All the results are validated through simulations and compared with the conventional explicit Euler scheme, highlighting the advantages of this proposal.
Cite
@article{arxiv.2001.08318,
title = {Consistent Discretization of a Class of Predefined-Time Stable Systems},
author = {Esteban Jiménez-Rodríguez and Rodrigo Aldana-López and Juan D. Sánchez-Torres and David Gómez-Gutiérrez and Alexander G. Loukianov},
journal= {arXiv preprint arXiv:2001.08318},
year = {2020}
}