Multi-Partite Output Regulation of Multi-Agent Systems

[2503.02313] Multi-Partite Output Regulation of Multi-Agent Systems Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Electrical Engineering and Systems Science > Systems and Control arXiv:2503.02313 (eess) [Submitted on 4 Mar 2025 ( v1 ), last revised 13 Apr 2026 (this version, v3)] Title: Multi-Partite Output Regulation of Multi-Agent Systems Authors: Kürşad Metehan Gül , Selahattin Burak Sarsılmaz View a PDF of the paper titled Multi-Partite Output Regulation of Multi-Agent Systems, by K\"ur\c{s}ad Metehan G\"ul and Selahattin Burak Sars{\i}lmaz View PDF HTML (experimental) Abstract: This article proposes a simple, graph-independent perspective on partitioning the node set of a graph and provides multi-agent systems (MASs) with objectives beyond cooperation and bipartition. Specifically, we first introduce the notion of $k$-partition transformation to achieve any desired partition of the nodes. Then, we use this notion to formulate the multi-partite output regulation problem (MORP) of heterogeneous linear MASs, which comprises the existing cooperative output regulation problem (CORP) and bipartite output regulation problem (BORP) as subcases. The goal of the MORP is to design a distributed control law such that each follower that belongs to the same set in the partition asymptotically tracks a scalar multiple of the reference while ensuring the internal stability of the closed-loop system. It is shown that the necessary and sufficient conditions for the solvability of the MORP with a feedforward-based distributed control law follow from the CORP and lead to the first design strategy for the control parameters. However, it has a drawback in terms of scalability due to a partition-dependent condition. We prove that this condition is implied by its partition-independent version under a mild structural condition. This implication yields the second design strategy that is much more scalable than the first one. Finally, an experiment is conducted to demonstrate the MORP's flexibility, and two numerical examples are provided to illustrate its generality and compare both design strategies regarding scalability. Comments: Accepted for publication in IEEE Transactions on Automatic Control Subjects: Systems and Control (eess.SY) ; Optimization and Control (math.OC) Cite as: arXiv:2503.02313 [eess.SY] (or arXiv:2503.02313v3 [eess.SY] for this version) https://doi.org/10.48550/arXiv.2503.02313 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1109/TAC.2026.3682209 Focus to learn more DOI(s) linking to related resources Submission history From: Kursad Metehan Gul [ view email ] [v1] Tue, 4 Mar 2025 06:15:25 UTC (289 KB) [v2] Sun, 25 May 2025 11:24:18 UTC (390 KB) [v3] Mon, 13 Apr 2026 22:37:28 UTC (349 KB) Full-text links: Access Paper: View a PDF of the paper titled Multi-Partite Output Regulation of Multi-Agent Systems, by K\"ur\c{s}ad Metehan G\"ul and Selahattin Burak Sars{\i}lmaz View PDF HTML (experimental) TeX Source view license Current browse context: eess.SY < prev | next > new | recent | 2025-03 Change to browse by: cs cs.SY eess math math.OC References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... 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