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复杂系统与复杂性科学  2017, Vol. 14 Issue (4): 89-96    DOI: 10.13306/j.1672-3813.2017.04.010
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基于混合模式的BA无标度网络同步研究
李云, 宋运忠
河南理工大学电气工程与自动化学院,河南 焦作 454000
Hybrid Mode Based Synchronization of BA Scale Free Network
LI Yun, SONG Yunzhong
School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China
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摘要 为了解决基于混合模式的BA无标度网络的同步问题,首先,定义了虚拟领导节点和实体领导节点,提出了混合模式领导节点的概念。然后,用有向图表示BA无标度网络的拓扑结构,并根据该拓扑结构建立网络系统的一阶数学模型,在此基础上设计了准周期的离散控制器对领导节点进行复位,通过对领导节点的控制来控制整个网络的同步过程。最后,采用11个节点组成的BA无标度网络进行数值仿真,验证了同步理论的正确性,并分析了网络的同步速度与实体领导节点度之间的关系。
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李云
宋运忠
关键词 BA无标度网络同步集群网络复位系统混合模式    
Abstract:This paper mainly deals with the synchronization of BA scale free network based on hybrid mode. In order to make that possible, both virtual leader nodes and entity leader nodes were presented at first and on account of that, hybrid mode leader nodes was proposed. And the topology of the targeted BA scale free network was described by the directed graph, where the first-order mathematical model of the network system was established according to the topology structure. Upon which, the quasi-periodic discrete controller was employed to reset all kinds of the leader nodes afterwards, so that the synchronization of the entire network was turned into reality. Finally, as one of the case studies, the numerical simulation of the BA scale free network with 11 nodes was carried out to verify the efficacy of the suggested scheme.
Key wordsBA scale free network    synchronization    clusters networks    reset system    hybrid mode
收稿日期: 2017-05-16      出版日期: 2019-01-16
ZTFLH:  N94  
  TP1  
基金资助:国家自然科学基金(61340041,61374079)
通讯作者: 宋运忠(1968),男,河南民权人,博士,教授,主要研究方向为复杂系统的分析与控制。   
作者简介: 李云(1993-),女,河南信阳人,硕士,主要研究方向为复杂系统建模与控制。
引用本文:   
李云, 宋运忠. 基于混合模式的BA无标度网络同步研究[J]. 复杂系统与复杂性科学, 2017, 14(4): 89-96.
LI Yun, SONG Yunzhong. Hybrid Mode Based Synchronization of BA Scale Free Network. Complex Systems and Complexity Science, 2017, 14(4): 89-96.
链接本文:  
http://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2017.04.010      或      http://fzkx.qdu.edu.cn/CN/Y2017/V14/I4/89
[1]李靖,张永安. 复杂网络理论在物流网络研究中的应用[J]. 中国流通经济,2011,25(5):3842.
Li Jing, Zhang Yongan. The Consideration on quantitative positioning of performance evaluation and the choice [J]. China Business and Market, 2011, 25(5):3842.
[2]徐凤,朱金福,杨文东. 复杂网络在交通运输网络中的应用研究综述[J]. 复杂系统与复杂性科学,2013,2(1):1825.
Xu Feng, Zhu Jinfu, Yang Wendong. The complex networks application in transportation networks: a survey [J]. Complex Systems and Complexity Science, 2013, 2(1):1825.
[3]蔡泽祥,王星华,任晓娜. 复杂网络理论及其在电力系统中的应用研究综述[J]. 电网技术,2012,36(11):114121.
Cai Zexiang, Wang Xinghua, Ren Xiaona. A review of complex network theory and its application in power systems [J]. Power System Technology, 2012, 36(11):114121.
[4]王欢. 复杂网络理论在疾病研究中的应用[J]. 高教学刊,2015,(20):3638.
Wang Huan. The complex networks application in disease research [J].Journal of Higher Education, 2015, (20):3638.
[5]许丹,李翔,汪小帆. 复杂网络理论在互联网病毒传播研究中的应用[J]. 复杂系统与复杂性科学,2004,1(3):1026.
Xu Dan, Li Xiang, Wang Xiaofan. Application of complex network theory to the study of virus spreading on the internet [J]. Complex Systems and Complexity Science, 2004, 1(3):1026.
[6]徐玉章,朱磊,张力. 基于复杂网络理论的军事通信网信息传播模型[J]. 军事通信技术,2015,8(2):4044.
Xu Yuzhang, Zhu Lei, Zhang Li. Information diffusion model of military communication network based on complex network theory [J]. Journal of Military Communications Technology, 2015, 8(2):4044.
[7]丰俊妍,李文学,王克. 网络上复杂耦合系统的同步[J]. 黑龙江大学自然科学学报,2014,31(3):281286.
Feng Junyan, Li Wenxue, Wang Ke. The synchronization of complex coupled systems on networks [J]. Journal of Natural Science of Hei long jiang University, 2014, 31(3):281286.
[8]蒋国平,樊春霞,宋玉蓉,等. 复杂动态网络同步控制及其在信息物理系统中的应用[J]. 南京邮电大学学报(自然科学版),2010,30(4):4151.
Jiang Guoping, Fan Chunxia, Song Yurong, et al. Synchronization and control of complex dynamical networks with applications in cyberphy-sical systems [J]. Journal of Nanjing University of Posts and Telecommunications (Natural Science), 2010, 30(4):4151.
[9]陈姚, 吕金虎. 复杂动态网络的有限时间同步[J]. 系统科学与数学, 2009, 29(10):14191430.
Chen Yao, Lv Jinhu. Finite time synchronization of complex dynamical networks [J]. Journal of Systems Science and Mathematical Sciences, 2009, 29(10):14191430.
[10] Xu Y H, Zhou W N, Zhang J C, et al. Topology identification of complex delayed dynamical networks with multiple response systems [J]. Nonlinear Dynamics, 2017, 88(4):29692981.
[11] Khanzadeh A, Pourgholi M. Fixedtime sliding mode controller design for synchronization of complex dynamical networks [J]. Nonlinear Dynamics, 2017, 88(4):26372649.
[12] Dai H, Chen W, Jia J, et al. Exponential synchronization of complex dynamical networks with timevarying inner coupling via eventtriggered communication[J]. Neurocomputing, 2017, 245(5):124132.
[13] 张峥,朱炫颖. 复杂网络同步控制的研究进展[J]. 信息与控制,2017,46(1):103112.
Zhang Zheng, Zhu Xuanying. Recent progress in the synchronous control of complex networks [J]. Information and Control, 2017, 46(1):103112.
[14] 刘洲洲,王福豹. 一种能耗均衡的无线传感器网络加权无标度拓扑研究[J]. 物理学报, 2014, 63(19):5158.
Liu Zhouzhou, Wang Fubao. Research on weighted scalefree topology with balancing energy consumption characteristics in wireless sensor networks [J]. Acta Phys Sin, 2014, 63(19):5158.
[15] 邓宏钟,吴俊,李勇,等. 复杂网络拓扑结构对系统抗毁性影响研究[J]. 系统工程与电子技术,2008,30(12):24252428.
Deng Hongzhong, Wu Jun, Li Yong, et al. Influence of complex network topologic structure on system invulnerability [J]. Systems Engineering and Electronics, 2008, 30(12):24252428.
[16] 赵永毅, 史定华. 复杂网络的特征谱及其应用[J]. 复杂系统与复杂性科学, 2006, 3(1):112.
Zhao Yongyi, Shi Dinghua. Spectra of complex networks and its applications [J]. Complex Systems and Complexity Science, 2006, 3(1):112.
[17] 章忠志,周水庚,方锦清. 复杂网络确定性模型研究的最新进展[J]. 复杂系统与复杂性科学,2008,5(4):2946.
Zhang Zhongzhi, Zhou Shuigeng, Fang Jinqing. Recent progress of deterministic models for complex networks [J]. Complex Systems and Complexity Science, 2008, 5(4):2946.
[18] 王筱莉,赵来军,谢婉林. 无标度网络中遗忘率变化的谣言传播模型研究[J]. 系统工程理论与实践,2015,35(2):458465.
Wang Xiaoli, Zhao Laijun, Xie Wanlin. Rumor spreading model with variable forgetting rate in scalefree network [J]. Systems Engineering Theory & Practice, 2015, 35(2):458465.
[19] 何敏华,张端明,王海艳,等. 基于无标度网络拓扑结构变化的舆论演化模型[J]. 物理学报,2010,59(8):51755181.
He Minhua, Zhang Ruiming, Wang Haiyan, et al. Public opinion evolution model with the variable topology structure based on scale free network [J]. Acta Phys Sin, 2010, 59(8):51755181.
[20] 焦长义,穆华平,李静. 基于高聚集性无标度网络模型的微粒群算法[J]. 复杂系统与复杂性科学,2010,07(1):8287.
Jiao Changyi, Mu Huaping, Li Jing. Particle swarm optimization with highlyclustered scalefree network model [J]. Complex Systems and Complexity Science, 2010, 07(1):8287.
[21] 潘灶烽,汪小帆. 一种可大范围调节聚类系数的加权无标度网络模型[J]. 物理学报,2006,55(8):40584064.
Pan Zhaofeng, Wang Xiaofan. A weighted scalefree network model with largescale tunable clustering [J]. Acta Phys. Sin, 2006, 55(8):40584064.
[22] 李增扬,韩秀萍,陆君安,等. 内部演化的BA无标度网络模型[J]. 复杂系统与复杂性科学,2005,2(2):16.
Li Zengyang, Han Xiuping, Lu Junan, et al. A BA scale free network model with inner evolving [J]. Complex Systems and Complexity Science, 2005, 2(2):16.
[23] 陈禹,宗骁,郝杰,等. BA模型的三种扩展[J]. 系统工程学报, 2005, 20(2):120127.
Chen Yu, Zong Xiao, Hao Jie, et al. Three extensions for BA model [J]. Journal of Systems Engineering, 2005, 20(2):120127.
[24] 郝彬彬,井元伟, 张嗣瀛. 加权无标度网络中连接密度与同步能力的关系[J]. 系统工程学报, 2010, 25(3):611.
Hao Binbin, Jing Yuanwei, Zhang Siying. Relations between link density and synchronizability in weighted scalefree networks [J]. Journal of Systems Engineering, 2010, 25(3):611.
[25] 孙宗海, 李德裕. 无标度网络同步过程研究[J]. 计算机与数字工程, 2013, 41(7):11371138.
Sun Zonghai, Li Deyu. Synchronization process in scalefree networks [J]. Computer Digital Engineering, 2013, 41(7):11371138.
[26] Fan J, Wang X F. Synchronization in scalefree dynamical networks [J]. Physica A Statistical Mechanics & Its Applications, 2001, 349(3):443451.
[27] Li Z K, Duan Z S, Chen G R, et al. Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint [J]. IEEE Transactions on Circuits & Systems Part I Regular Papers, 2010, 57(1):213224.
[28] Bragagnolo M C, Rescu I C, Daafouz J, et al. Reset strategy for consensus in networks of clusters [J]. Automatica, 2016, 65(3):5363.
[29] 宋海裕, 俞立, 胡鸿翔. 牵制控制下的多智能体系统群一致性[J]. 控制理论与应用, 2012, 29(6):765772.
Song Haiyu, Yu Li, Hu Hongxiang. Group consensus in multiagent systems via pinning control [J]. Control Theory & Applications, 2012, 29(6):765772.
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