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Scaled Consensus of Multi-Agent Systems in the Cooperative-Competitive Networks

DOI: 10.12677/dsc.2024.132007, PP. 68-80

Keywords: 多智能体系统,合作竞争网络,比例一致性
Multi-Agent Systems
, Cooperative-Competitive Networks, Scaled Consensus

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The scaled consensus of multi-agent systems in undirected and directed topologies is studied for cooperative-competitive networks in this paper. Assuming that the agents have general linear dynamics in multi-agent systems, the scaled consensus protocol is proposed. Firstly, by applying the knowledge of the algebraic graph theory and the matrix theory, the problem of the scaled consensus is cast into the stability of a set of low-dimensional systems. Then, using the stability theory of Lyapunov, the stability condition of the low-dimensional systems is obtained by using Lyapunov stability theory, and sufficient conditions for the system to reach the scaled consensus are given. Finally, the correctness and effectiveness of the theoretical results are verified by the numerical simulation.


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