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Linear Regulator-Based Synchronization of Positive Multi-Agent Systems

Gurpegui, Alba LU orcid ; Jeeninga, Mark LU orcid ; Tegling, Emma LU orcid and Rantzer, Anders LU orcid (2025) 2025 European Control Conference, ECC 2025 p.220-225
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.

Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2025 European Control Conference, ECC 2025
edition
2025
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
2025 European Control Conference, ECC 2025
conference location
Thessaloniki, Greece
conference dates
2025-06-24 - 2025-06-27
external identifiers
  • scopus:105030979939
ISBN
9783907144121
DOI
10.23919/ECC65951.2025.11187054
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2025 EUCA.
id
4a23e14c-a7cd-404e-8835-be0614f6357c
date added to LUP
2026-04-20 16:34:52
date last changed
2026-08-10 13:33:59
@inproceedings{4a23e14c-a7cd-404e-8835-be0614f6357c,
  abstract     = {{<p>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.</p>}},
  author       = {{Gurpegui, Alba and Jeeninga, Mark and Tegling, Emma and Rantzer, Anders}},
  booktitle    = {{2025 European Control Conference, ECC 2025}},
  isbn         = {{9783907144121}},
  language     = {{eng}},
  pages        = {{220--225}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Linear Regulator-Based Synchronization of Positive Multi-Agent Systems}},
  url          = {{http://dx.doi.org/10.23919/ECC65951.2025.11187054}},
  doi          = {{10.23919/ECC65951.2025.11187054}},
  year         = {{2025}},
}