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Chin. Phys. B, 2013, Vol. 22(7): 070503    DOI: 10.1088/1674-1056/22/7/070503
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Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

Wang Shu-Guoa, Zheng Songb
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
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.
Keywords:  complex networks      function projective synchronization      disturbance adaptive control  
Received:  25 July 2012      Revised:  04 September 2012      Published:  01 June 2013
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: 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).
Corresponding Authors:  Wang Shu-Guo     E-mail:  wsg97@163.com

Cite this article: 

Wang Shu-Guo, Zheng Song Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance 2013 Chin. Phys. B 22 070503

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