多智能体系统的二部一致性问题研究
Research on Bipartite Consensus Problems of Multi-Agent Systems
摘要: 本文针对合作与竞争机制并存的一阶离散时间多智能体系统，应用符号图理论、非负矩阵理论和稳定性理论，通过规范变换，建立了无向拓扑及有向拓扑下一阶离散时间多智能体系统的二部一致性理论。
Abstract: For a first-order discrete-time multi-agent system in which cooperation and competition mechanism coexist, we establish its bipartite consensus theories under undirected and directed topology graph based on graph theory, nonnegative matrix theory and stability theory through gauge transformation.
文章引用：唐芳, 韩摩西. 多智能体系统的二部一致性问题研究[J]. 应用数学进展, 2019, 8(11): 1745-1752. https://doi.org/10.12677/AAM.2019.811204

参考文献

[1] DeGroot, M.H. (1974) Reaching a Consensus. Journal of the American Statistical Association, 69, 118-121.
[Google Scholar] [CrossRef] 
[2] Li, B., Li, J. and Huang, K.W. (2013) Modeling and Flocking Consensus Analysis for Large-Scale UAV Swarms. Mathematical Problems in Engineering, 2013, Article ID: 368369.
[Google Scholar] [CrossRef] 
[3] Shi, H., Wang, L. and Chu, T. (2009) Flocking of Multi-Agent Systems with a Dynamic Virtual Leader. International Journal of Control, 82, 43-58.
[Google Scholar] [CrossRef] 
[4] Benediktsson, J.A. and Swain, P.H. (1992) Consensus Theoretic Classification Methods. IEEE Transactions on Systems Man & Cybernetics, 22, 688-704.
[Google Scholar] [CrossRef] 
[5] Reynolds, C.W. (1987) Flocks, Herds and Schools: A Distributed Behavioral Model. ACM Siggrapy Computer Graphics, 21, 25-34.
[Google Scholar] [CrossRef] 
[6] Vicsek, T., Czir, D.K.A., Ben-Jacob, E., et al. (1995) Novel Type of Phase Transition in a System of Self-Driven Particles. Physical Review Letters, 75, 1226-1229.
[Google Scholar] [CrossRef] 
[7] Jiang, Y., Zhang, H. and Chen, J. (2016) Sign-Consensus of Linear Multi-Agent Systems over Signed Directed Graphs. IEEE Transactions on Industrial Electronics, 64, 5075-5083.
[Google Scholar] [CrossRef] 
[8] Hu, J. and Zhu, H. (2015) Adaptive Bipartite Consensus on Coopetition Networks. Physica D: Nonlinear Phenomena, 307, 14-21.
[Google Scholar] [CrossRef] 
[9] Altafini, C. (2012) Consensus Problems on Networks with Antagonistic Interactions. IEEE Transactions on Automatic Control, 58, 935-946.
[Google Scholar] [CrossRef] 
[10] Zhou, Y. and Hu, J. (2013) Event-Based Bipartite Consensus on Signed Networks. IEEE International Conference on Cyber Technology in Automation, Control and Intelligent Systems, Nanjing, 26-29 May 2013, 326-330.
[Google Scholar] [CrossRef] 
[11] Yang, D., Ren, W., Liu, X., et al. (2016) Decentralized Event-Triggered Consensus for Linear Multi-Agent Systems under General Directed Graphs. Automatica, 69, 242-249.
[Google Scholar] [CrossRef] 
[12] Zhang, H. and Chen, J. (2017) Bipartite Consensus of Multi-Agent Systems over Signed Graphs: State Feedback and Output Feedback Control Approaches. International Journal of Robust and Nonlinear Control, 27, 3-14.
[Google Scholar] [CrossRef] 
[13] Olfati-Saber, R., Fax, J.A. and Murray, R.M. (2007) Consensus and Cooperation in Networked Multi-Agent Systems. Proceedings of the IEEE, 95, 215-233.
[Google Scholar] [CrossRef] 
[14] Franklin, J.N. (2012) Matrix Theory. Courier Corporation, North Chelmsford.

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