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Linear Regulator-based synchronization of positive discrete-time multi-agent systems

Gurpegui Ramón, Alba LU orcid ; Jeeninga, Mark LU orcid ; Tegling, Emma LU and Rantzer, Anders LU orcid (2025) In IFAC Proceedings Volumes (IFAC-PapersOnline) 59. p.19-24
Abstract
A fundamental challenge in control theory is designing protocols that achieve synchronization in interconnected systems. This paper addresses positive synchronization on undirected graphs for homogeneous discrete-time positive systems. It introduces a static feedback protocol derived from the Linear Regulator problem, where the stabilizing policy is determined by solving an algebraic equation using a linear program. Furthermore, necessary and sufficient conditions are established to guarantee the positivity of each agent’s trajectory for all nonnegative initial conditions. The proposed approach is demonstrated through simulations on large regular graphs with varying nodal degrees, illustrating its effectiveness.
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IFAC Proceedings Volumes (IFAC-PapersOnline)
volume
59
article number
4
pages
6 pages
publisher
IFAC Secretariat
ISSN
2405-8963
project
WASP NEST: Learning in Networks: Structure, Dynamics, and Control
language
English
LU publication?
yes
id
081a3798-4f3b-400f-a32c-02174916bdb7
date added to LUP
2025-08-05 08:28:23
date last changed
2025-09-11 08:50:11
@article{081a3798-4f3b-400f-a32c-02174916bdb7,
  abstract     = {{A fundamental challenge in control theory is designing protocols that achieve synchronization in interconnected systems. This paper addresses positive synchronization on undirected graphs for homogeneous discrete-time positive systems. It introduces a static feedback protocol derived from the Linear Regulator problem, where the stabilizing policy is determined by solving an algebraic equation using a linear program. Furthermore, necessary and sufficient conditions are established to guarantee the positivity of each agent’s trajectory for all nonnegative initial conditions. The proposed approach is demonstrated through simulations on large regular graphs with varying nodal degrees, illustrating its effectiveness.}},
  author       = {{Gurpegui Ramón, Alba and Jeeninga, Mark and Tegling, Emma and Rantzer, Anders}},
  issn         = {{2405-8963}},
  language     = {{eng}},
  month        = {{06}},
  pages        = {{19--24}},
  publisher    = {{IFAC Secretariat}},
  series       = {{IFAC Proceedings Volumes (IFAC-PapersOnline)}},
  title        = {{Linear Regulator-based synchronization of positive discrete-time multi-agent systems}},
  volume       = {{59}},
  year         = {{2025}},
}