合作竞争网络下的多智能体系统比例一致性
Scaled Consensus of Multi-Agent Systems in the Cooperative-Competitive Networks
摘要: 针对合作竞争网络下的多智能体系统，本文研究了其在无向和有向拓扑下的比例一致性问题。假设系统中的智能体具有一般线性动态，提出了比例一致性协议。首先，应用代数图论和矩阵理论的相关知识，将比例一致性问题转化为一组低维系统的稳定性问题；然后，利用Lyapunov稳定理论得到了该低维系统稳定的条件，并给出了系统达到比例一致性的充分条件；最后，通过数值仿真验证了理论结果的正确性和有效性。
Abstract: 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.
文章引用：李琳玉, 唐朝君. 合作竞争网络下的多智能体系统比例一致性[J]. 动力系统与控制, 2024, 13(2): 68-80. https://doi.org/10.12677/dsc.2024.132007

参考文献

[1] Qin, J., Ma, Q., Shi, Y., et al. (2016) Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey. IEEE Transactions on Industrial Electronics, 64, 4972-4983. [Google Scholar] [CrossRef] 
[2] Zhang, X., Yang, H. and Zhong, S. (2016) Lag Synchronization of Complex Dynamical Networks with Hybrid Coupling via Adaptive Pinning Control. Journal of Nonlinear Sciences and Applications, 9, 4678-4694. [Google Scholar] [CrossRef] 
[3] Zhang, R., Zeng, D., Zhong, S., et al. (2017) Event-Triggered Sampling Control for Stability and Stabilization of Memristive Neural Networks with Communication Delays. Applied Mathematics and Computation, 310, 57-74. [Google Scholar] [CrossRef] 
[4] Hu, H., Yu, W., Wen, G., et al. (2016) Reverse Group Consensus of Multi-Agent Systems in the Cooperation-Competition network. IEEE Transactions on Circuits and Systems I: Regular Papers, 63, 2036-2047. [Google Scholar] [CrossRef] 
[5] Shi, L., Cheng, Y., Shao, J., et al. (2022) Cucker-Smale Flocking over Cooperation-Competition Networks. Automatica, 135, Article ID: 109988. [Google Scholar] [CrossRef] 
[6] Chesson, P. and Kuang, J.J. (2008) The Interaction between Predation and Competition. Nature, 456, 235-238. [Google Scholar] [CrossRef] [PubMed]
[7] 邵晋梁, 石磊, 李彤, 张希琳. 合作竞争网络下的多智能体系统链路故障检测[J]. 中国科学(信息科学), 2022, 52(8): 1500-1512. [Google Scholar] [CrossRef] 
[8] 何月. 基于合作竞争网络的多智能体系统协同行为分析[D]: [硕士学位论文]. 杭州: 杭州电子科技大学, 2020.
[9] Liu, J., Li, H., Ji, J., et al. (2020) Group-Bipartite Consensus in the Networks with Cooperative-Competitive Interactions. IEEE Transactions on Circuits and Systems II: Express Briefs, 67, 3292-3296. [Google Scholar] [CrossRef] 
[10] Shang, Y. (2017) Finite-Time Scaled Consensus through Parametric Linear Iterations. International Journal of Systems Science, 48, 2033-2040. [Google Scholar] [CrossRef] 
[11] Pandey, P.K., Adhikari, B. and Chakraborty, S. (2019) A Diffusion Protocol for Detection of Link Failure and Utilization of Resources in Multi-Agent Systems. IEEE Transactions on Network Science and Engineering, 7, 1493-1507. [Google Scholar] [CrossRef] 
[12] Gong, X., Cui, Y., Shen, J., et al. (2020) Distributed Prescribed-Time Interval Bipartite Consensus of Multi-Agent Systems on Directed Graphs: Theory and Experiment. IEEE Transactions on Network Science and Engineering, 8, 613-624. [Google Scholar] [CrossRef] 
[13] Roy, S. (2015) Scaled Consensus. Automatica, 51, 259-262. [Google Scholar] [CrossRef] 
[14] Cheng, Y., Shi, L., Shao, J., et al. (2020) Sampled-Data Scaled Group Consensus for Second-Order Multi-Agent Systems with Switching Topologies and Random Link Failures. Journal of the Franklin Institute, 357, 2868-2881. [Google Scholar] [CrossRef] 
[15] 范志鹏. 具有输入饱和的多智能体系统非负连边比例一致性研究[D]: [硕士学位论文]. 武汉: 华中科技大学, 2023.
[16] Sun, S.H., Zhao, L. and Jia, Y.M. (2014) Similitude Design Method for Motion Reconstruction of Space Cooperative Vehicles. Journal of Astronautics, 35, 802-810.
[17] Wen, G.H., et al. (2014) Distributed Consensus of Multi-Agent Systems with General Linear Node Dynamics and Intermittent Communications. International Journal of Robust and Nonlinear Control, 24, 2438-2457. [Google Scholar] [CrossRef] 

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