Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

doi:10.1088/1674-1056/22/7/070503

中国物理B ›› 2013, Vol. 22 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/22/7/070503

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

王树国^a, 郑松^b

a Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China;
b School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou 310018, China

收稿日期:2012-07-25 修回日期:2012-09-04 出版日期:2013-06-01 发布日期:2013-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 70871056) and the Fundamental Research Funds for the Central Universities,China (Grant No. 2013B10014).

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

Wang Shu-Guo (王树国)^a, Zheng Song (郑松)^b

a Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China;
b School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou 310018, China

Received:2012-07-25 Revised:2012-09-04 Online:2013-06-01 Published:2013-06-01
Contact: Wang Shu-Guo E-mail:wsg97@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 70871056) and the Fundamental Research Funds for the Central Universities,China (Grant No. 2013B10014).

摘要/Abstract

摘要： We investigate the problem of function projective synchronization (FPS) in drive-response dynamical networks with non-identical nodes, an adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only unknown parameters of the networks are estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions but also unknown bounded disturbances can be simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.

关键词: complex networks, function projective synchronization, disturbance adaptive control

Abstract: We investigate the problem of function projective synchronization (FPS) in drive-response dynamical networks with non-identical nodes, an adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only unknown parameters of the networks are estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions but also unknown bounded disturbances can be simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.

Key words: complex networks, function projective synchronization, disturbance adaptive control

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos)

王树国, 郑松. Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance[J]. 中国物理B, 2013, 22(7): 70503-070503.

Wang Shu-Guo (王树国), Zheng Song (郑松). Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance[J]. Chin. Phys. B, 2013, 22(7): 70503-070503.

参考文献 36

[1]	Wen G H, Duan Z S, Li Z K and Chen G R 2012 International Journal of Control 85 384
[2]	Wen G H, Duan Z S, Yu W W and Chen G R 2012 International Journal of Robust and Nonlinear Control 23 602
[3]	Xiong X and Hu Y 2012 Acta Phys. Sin. 61 150509 (in Chinese)
[4]	Chou S W, Wang K and Liu Q 2012 Acta Phys. Sin. 61 150201 (in Chinese)
[5]	Hao C Q, Wang J and Deng B 2012 Acta Phys. Sin. 61 148901 (in Chinese)
[6]	Zhang C, Shen H Z and Li F 2012 Acta Phys. Sin. 61 148902 (in Chinese)
[7]	Wang D L and Yu Z G 2012 Chin. Phys. B 21 080504
[8]	Gao X Y, An H Z and Fang W 2012 Acta Phys. Sin. 61 098902 (in Chinese)
[9]	Wang Y Q and Yang X Y 2012 Acta Phys. Sin. 61 090202 (in Chinese)
[10]	Wang S G and Yao H X 2012 Chin. Phys. B 21 050508
[11]	Liang Y and Wang X Y 2012 Acta Phys. Sin. 61 038901 (in Chinese)
[12]	Chai Y, Lv L and Chen L Q 2012 Chin. Phys. B 21 030506
[13]	Yang C L and Tang K S 2011 Chin. Phys. B 20 128901
[14]	Rosenblum M G, Pikovsky A S and Kurths J 1996 Phys. Rev. Lett. 76 1804
[15]	Rosenblum M G, Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 4193
[16]	Xu S Y and Yang Y 2010 Nonlinear Dynamics 59 485
[17]	Wang J L and Wu H N 2012 Nonlinear Dynamics 67 497
[18]	Lü L, Meng L, Guo L, Zou J R and Yang M 2011 Acta Phys. Sin. 60 124 (in Chinese)
[19]	Abdurahman K, Wang X Y and Zhao Y Z 2011 Acta Phys. Sin. 60 81 (in Chinese)
[20]	Liu H, Chen J, Lu J and Cao M 2010 Physica A 389 1759
[21]	Guo W 2011 Nonlinear Analysis: Real World Applications 12 2579
[22]	Mahmoud G M and Mahmoud E E 2010 Nonlinear Dynamics 62 875
[23]	Mainieri R and Rehacek J 1999 Phys. Rev. Lett. 82 3042
[24]	Chen Y and Li X 2007 Int. J. Mod. Phys. C 18 883
[25]	Chen Y, An H L and Li Z B 2008 Appl. Math. Comput. 197 96
[26]	Du H, Zeng Q and Wang C 2009 Chaos Soliton. Fract. 42 2399
[27]	Sebastian S K and Sabir M 2010 Phys. Lett. A 374 2017
[28]	Yang W and Sun J 2010 Phys. Lett. A 374 557
[29]	Sudheer K S and Sabir M 2009 Phys. Lett. A 373 1847
[30]	Du H Y, Zeng Q S, Wang C H and Ling M X 2010 Nonlinear Analysis: Real World Applications 11 705
[31]	Du H Y, Zeng Q S and Wang C H 2008 Phys. Lett. A 372 5402
[32]	Shen L Q, Liu W Y and Ma J W 2009 Chaos Soliton. Fract. 42 1292
[33]	Zhang R, Yang Y Q, Xu Z Y and Hu M F 2010 Phys. Lett. A 374 3025
[34]	Solís-Perales G Ruiz-Velázquez E and Valle-Rodríguez D 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2528
[35]	Du H Y 2011 Chaos Soliton. Fract. 44 510
[36]	Ji D H, Jeong S C, Park J H, Lee S M and Won S C 2012 Applied Mathematics and Computation 218 4872

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

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