Chin. Phys. Lett.  2010, Vol. 27 Issue (3): 030505    DOI: 10.1088/0256-307X/27/3/030505
GENERAL |
Adaptive Synchronization of an Array of Time-Varying Coupled Delayed Neural Networks
WANG Jian-An, LIU He-Ping
School of Information Engineering, University of Science and Technology Beijing, Beijing 100083
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WANG Jian-An, LIU He-Ping 2010 Chin. Phys. Lett. 27 030505
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Abstract Synchronization in an array of time-varying coupled delayed neural networks is investigated. We assume that the entries of time-varying coupling configuration matrix and inner-coupling matrix of the model are all bounded. By combining linear feedback with an adaptive control approach, some simple controllers are proposed to ensure the states of such coupled networks globally asymptotically synchronize to a desired synchronous solution. Simulation results are provided to demonstrate the effectiveness of the proposed approach.
Keywords: 05.45.Xt      05.45.Gg      89.75.Hc     
Received: 01 January 1900      Published: 09 March 2010
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
  89.75.Hc (Networks and genealogical trees)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/3/030505       OR      https://cpl.iphy.ac.cn/Y2010/V27/I3/030505
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WANG Jian-An
LIU He-Ping
[1] Wu C and Chua L 1995 IEEE Trans. Circuits Syst. I 42 430
[2] Wang X F and Chen G R 2002 Int. J. Bifur. Chaos 12 885
[3] Wang X F and Chen G R 2002 IEEE Trans. Circuits Syst. I 49 54
[4] Chen L and Lu J A 2007 Chin. Phys. Lett. 24 1853
[5] Bu S L et al 2006 Chin. Phys. Lett. 23 2909
[6] Lu W L and Chen T P 2006 Physica D 213 214
[7] Zhou J et al 2006 IEEE Trans. Autom. Control 51 652
[8] Li Y et al 2008 Chin. Phys. Lett. 25 874
[9] Chen J R et al 2009 Chin. Phys. Lett. 26 060505
[10] Sun M et al 2009 Chin. Phys. Lett. 26 010501
[11] Lv J H et al 2005 Physica A 334 281
[12] Lv J H et al 2005 IEEE Trans. Autom. Control 50 841
[13] Li P and Zhang Y 2008 Physica A 387 3729
[14] Chen G R et al 2004 Int. J. Bifur. Chaos 14 2229
[15] Lu W L and Chen T P 2004 IEEE Trans. Circuits Syst. I 51 2491
[16] Wang W W and Cao J D 2006 Physica A 366 197
[17] Cao J D et al 2007 Physica A 385 718
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[19] Lu J Q et al 2007 Phys. Lett. A 369 444
[20] He WL and Cao JD 2009 Phys. Lett. A 373 2682
[21] Yu W W et al 2008 SIAM J. Appl. Dynam. Syst. 7 108
[22] Gao M and Cui B T 2009 Chin. Phys. B 18 76
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