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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.
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Keywords:
- complex networks /
- random nodes /
- synchronization /
- time-delay
[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 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 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 61 120504]
[6] Bian Q X, Yao H X 2010 Acta Phys. Sin. 59 3027 (in Chinese) [卞秋香, 姚洪兴2010 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 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 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
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[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 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 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 61 120504]
[6] Bian Q X, Yao H X 2010 Acta Phys. Sin. 59 3027 (in Chinese) [卞秋香, 姚洪兴2010 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 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 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
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