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arXiv · 2504.06169

Linear Regulator-Based Synchronization of Positive Multi-Agent Systems

Alba Gurpegui·Mark Jeeninga·Emma Tegling·Anders Rantzer
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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.

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Alba Gurpegui, Mark Jeeninga, Emma Tegling, Anders Rantzer. 2025-04-08. Linear Regulator-Based Synchronization of Positive Multi-Agent Systems. https://arxiv.org/abs/2504.06169

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