Linear Regulator-Based Synchronization of Positive Multi-Agent Systems
Systems and Control
2025-04-09 v1 Systems and Control
Abstract
This paper addresses the positive synchronization of interconnected systems on undirected graphs. For homogeneous positive systems, a static feedback protocol design is proposed, based on the Linear Regulator problem. The solution to the algebraic equation associated to the stabilizing policy can be found using a linear program. Necessary and sufficient conditions on the positivity of each agent's trajectory for all nonnegative initial conditions are also provided. Simulations on large regular graphs with different nodal degree illustrate the proposed results.
Cite
@article{arxiv.2504.06169,
title = {Linear Regulator-Based Synchronization of Positive Multi-Agent Systems},
author = {Alba Gurpegui and Mark Jeeninga and Emma Tegling and Anders Rantzer},
journal= {arXiv preprint arXiv:2504.06169},
year = {2025}
}
Comments
Accepted for presentation and publication in the proceedings of the 2025 23rd European Control Conference (ECC), June 24-27, 2025. 6 pages, 6 figures