具有随机节点结构的复杂网络同步研究

刘金良

doi:10.7498/aps.62.040503

摘要

针对具有随机节点结构的复杂网络, 研究其同步问题. 基于Lyapunov稳定性理论和线性矩阵不等式技术给出了复杂网络同步稳定的充分性条件, 该充分性条件不仅与复杂网络的状态时延有关, 还与节点结构的概率分布有关. 数值仿真表明本文方法的有效性.

关键词:

This paper deals with the synchronization of complex networks with random nodes. Sufficient conditions for the synchronization of complex networks are derived by using the Lyapunov functional method and linear matrix inequality technique, and the obtained criteria depend on not only the size of the delay, but also the probability distribution of random nodes. A simulation example is exploited in order to illustrate the effectiveness of the proposed method.

Keywords:

作者及机构信息

刘金良

1.
南京财经大学应用数学学院, 南京 210046

基金项目: 国家自然科学基金重点项目(批准号:60834002)、国家自然科学基金(批准号:11226240,61074025,60904013)、江苏省自然科学基金(批准号:BK2012469)、江苏省省属高校自然科学研究面上项目(批准号:12KJD120001)和江苏高校优势学科建设工程项目资助的课题.

Authors and contacts

Liu Jin-Liang

1.
Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210046, China

Funds: Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 60834002), the National Natural Science Foundation of China (Grant Nos. 11226240, 61074025, 60904013), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012469), the Natural Science Foundation of the Jiangsu Higher Education Institutions, China (Grant No. 12KJD120001), and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

参考文献

[1]	Strogatz S H 2001 Nature 410 268
[2]	Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[3]	Wang J A 2012 Acta Phys. Sin. 61 020509 (in Chinese) [王健安 2012 物理学报 61 020509]
[4]	Lü L, Liu S, Zhang X, Zhu J B, Shen N, Shang J Y 2012 Acta Phys. Sin. 61 090504 (in Chinese) [吕翎, 柳爽, 张新, 朱佳博, 沈娜, 商锦玉 2012 物理学报 61 090504]
[5]	Lü L, Li Y S, Wei L L, Yu M, Zhang M 2012 Acta Phys. Sin. 61 120504 (in Chinese) [吕翎, 李雨珊, 韦琳玲, 于淼, 张檬 2012 物理学报 61 120504]
[6]	Bian Q X, Yao H X 2010 Acta Phys. Sin. 59 3027 (in Chinese) [卞秋香, 姚洪兴2010 物理学报 59 3027]
[7]	Yang X, Cao J, Lu J 2012 IEEE Trans. Circuits Sys. I 59 371
[8]	Zhang Q, Zhao J 2012 Chin. Phys. 21 040502
[9]	Gao H, Lam J, Chen T 2006 Phys. Lett. A 360 263
[10]	Yue D, Li H 2010 Neurocomputing 73 838
[11]	Li H 2011 J. Phys. A: Math. Theor. 44 105101
[12]	Lu J, Zhang R, Xu Z Y 2010 Acta Phys. Sin. 59 5949 (in Chinese) [卢静, 张荣, 徐振源 2010 物理学报 59 5949]
[13]	Lü L, Liu S, Zhang X, Zhu J B, Shen N, Shang J Y 2012 Acta Phys. Sin. 61 090504 (in Chinese) [吕翎, 柳爽, 张新, 朱佳博, 沈娜, 商锦玉 2012 物理学报 61 090504]
[14]	Gu K, Kharitonov V, Chen J 2003 Stability of Time-Delay Systems (Berlin: Springer) p315
[15]	Yue D, Tian E, Zhang Y 2009 Int. J. Robust Nonlin. 19 1493

施引文献

[1]	Strogatz S H 2001 Nature 410 268
[2]	Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[3]	Wang J A 2012 Acta Phys. Sin. 61 020509 (in Chinese) [王健安 2012 物理学报 61 020509]
[4]	Lü L, Liu S, Zhang X, Zhu J B, Shen N, Shang J Y 2012 Acta Phys. Sin. 61 090504 (in Chinese) [吕翎, 柳爽, 张新, 朱佳博, 沈娜, 商锦玉 2012 物理学报 61 090504]
[5]	Lü L, Li Y S, Wei L L, Yu M, Zhang M 2012 Acta Phys. Sin. 61 120504 (in Chinese) [吕翎, 李雨珊, 韦琳玲, 于淼, 张檬 2012 物理学报 61 120504]
[6]	Bian Q X, Yao H X 2010 Acta Phys. Sin. 59 3027 (in Chinese) [卞秋香, 姚洪兴2010 物理学报 59 3027]
[7]	Yang X, Cao J, Lu J 2012 IEEE Trans. Circuits Sys. I 59 371
[8]	Zhang Q, Zhao J 2012 Chin. Phys. 21 040502
[9]	Gao H, Lam J, Chen T 2006 Phys. Lett. A 360 263
[10]	Yue D, Li H 2010 Neurocomputing 73 838
[11]	Li H 2011 J. Phys. A: Math. Theor. 44 105101
[12]	Lu J, Zhang R, Xu Z Y 2010 Acta Phys. Sin. 59 5949 (in Chinese) [卢静, 张荣, 徐振源 2010 物理学报 59 5949]
[13]	Lü L, Liu S, Zhang X, Zhu J B, Shen N, Shang J Y 2012 Acta Phys. Sin. 61 090504 (in Chinese) [吕翎, 柳爽, 张新, 朱佳博, 沈娜, 商锦玉 2012 物理学报 61 090504]
[14]	Gu K, Kharitonov V, Chen J 2003 Stability of Time-Delay Systems (Berlin: Springer) p315
[15]	Yue D, Tian E, Zhang Y 2009 Int. J. Robust Nonlin. 19 1493

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板