Abstract:It is very meaningful to get a new model of multi-agent system based on Nash equilibrium. Combining the practice and using the graph theory method, this paper constructs a new class of model which is different from the general model and Tanner model: iso-neighbor model. We first introduce the unique characteristics of this kind of model from the point of view of graph theory, then analyze the differences of controllability between iso-neighbor model and other models in multi-agent system, and draw the following conclusions: The iso-neighbor model can produce the same controllability as other models under fixed conditions.
国俊豪, 纪志坚. 基于NE结果的多智能体系统模型及其能控性[J]. 复杂系统与复杂性科学, 2021, 18(4): 50-57.
GUO Junhao, JI Zhijian. A Multi-agent System Model Based on NE Results and Its Controllability. Complex Systems and Complexity Science, 2021, 18(4): 50-57.
[1]Liu K E, Ji Z J, Xie G M, et al. Event-based broadcasting containment control for multi-agent systems under directed topology[J]. International Journal of Control, 2016, 89(11): 2360-2370. [2]Guan Y Q, Ji Z J, Zhang L, et al. Controllability of heterogeneous multi-agent systems under directed and weighted topology[J]. International Journal of Control, 2016, 89(5): 1009-1024. [3]Li Z Q, Ji Z J, Chao Y C, et al. Graph controllability classes of networked multi-agent systems with multi-signal inputs[J].CAAI Transactions on Intelligent Systems, 2016, 11(5): 783-790. [4]Ji Z J, Lin H, Yu H S. Protocols design and uncontrollable topologies construction for multi-agent networks[J]. IEEE Transactions on Automatic Control, 2015, 60(3): 781-786. [5]Ji Z J, Lin H, Feng G, et al. Controllability structure decomposition for switched linear systems[J]. Transactions of the Institute of Measurement and Control, 2010, 32(6): 736-755. [6]Liu B, Ping Y, Wu L, et al. Controllability of discrete-time multi-agent systems based on absolute protocol with time-delays[J].Neurocomputing, 2020, 409(2020): 316-328. [7]Liu B, Su H, Wu L,et al. Fractional-order controllability of multi-agent systems with time-delay. [DB/OL]. (2020-04-05)[2021-01-10]. https:∥sci-hub.se/10.1016/j.neucom.2020.04.083. [8]Cesar O, Bahman G. Graph controllability classes for the laplacian leader-follower dynamics[J]. IEEE Transactions on Automatic Control, 2015, 60(6):1611-1623. [9]Tanner H. On the controllability of nearest neighbor interconnections[J]. Proceedings of the 43rd IEEE Conference on Decision and Control. Atlantis, Raradise Island, Bahamas, 2004: 2467-2472. [10] Wang L, Jiang F C, Xie G M. Controllability of multi-agent systems based on agreement protocols[J]. Sci China Ser F-Inf Sci, 2009, 52(11): 2074-2088. [11] Cardoso D M, Delorme M, Rama P. Laplacian eigenvectors and eigenvalues and almost equitable partitions[J]. European Journal of Combinatorics, 2007, 28(3): 665-673. [12] Qu J J, Ji Z J, Shi Y. The graphical conditions for controllability of multi-agent systems under equitable partition[DB/OL].(2020-05-24)[2021-01-10]. https:∥www.ieee.org/publications/rights/index.html. [13] Zhang R R, Guo L. Controllability of nash equilibrium in game-based control systems[J]. IEEE Transactions on Automatic Control, 2019, 64(10): 4180-4187. [14] Ma J Y, Zheng Y S, Zhou L K. Game-based coalescence in multi-agent systems[DB/OL].(2020-05-24)[2021-01-10].https:∥doi.org/10.1016/j.syseonle. 2020.104853. [15] 郑大钟,线性系统理论[M]. 北京:清华大学出版社, 2002:135-208. [16] Sun C, Hu G, Xie L. Controllability of multiagent networks with antagonistic interactions[J]. IEEE Transactions on Automatic Control, 2017, 62(10): 5457-5462. [17] She B, Mehta S, Ton C, et al. Controllability ensured leader group selection on signed multiagent networks[J]. IEEE Transactions on Cybernetics, 2020, 50(1): 222-232. [18] Ji Z J, Wang Z D, Lin H, et al. Interconnection topologies for multi-agent coordination under leader-follower framework[J]. IEEE Trans Autom, 2009, 45(12): 2857-2863.