Synchronization of chaotic nonlinear continuous neural networks with time-varying delay

Cognitive Neurodynamics

Volumn 5, Issue 4, 2011, Pages 361-371

  Balasubramaniam, P ^a   Chandran, R ^b   Jeeva Sathya Theesar, S ^a  

^a GANDHIGRAM RURAL UNIVERSITY   (India)

^b Government Arts College   (India)

Author keywords

Delay decomposition; Maximum admissible upper bound (MAUB); Neural networks; Synchronization; Time varying delay

Indexed keywords

ARTICLE; CHAOTIC DYNAMICS; FEEDBACK SYSTEM; MATHEMATICAL MODEL; NERVE CELL NETWORK;

EID: 81355147643     PISSN: 18714080     EISSN: 18714099     Source Type: Journal    
DOI: 10.1007/s11571-011-9162-0     Document Type: Article

References (21)

1. S Arik 2003 Global asymptotic stability of a larger class of neural networks with constant time delays Phys Lett A 311 504 511 10.1016/S0375- 9601(03)00569-3 1:CAS:528:DC%2BD3sXjs1Sjtro%3D
2. Boyd S et al (1994) Linear matrix inequalities in systems and control theory. SIAM, Philadelphia
3. T Carroll L Pecora 1990 Synchronizing chaotic circuits Phys Rev Lett 64 821 824 10042089 10.1103/PhysRevLett.64.821
4. T Carroll L Pecora 1991 Synchronization in chaotic system IEEE Trans Circuits Syst 38 453 456 10.1109/31.75404
5. Chao Jung Ch, The-Luliao, Jun-JuthYan, Chi-chuan Hwang (2006) Exponential synchronization of a class of neural networks with time-varying delays. Syst Man Cybern Part B 36:209-215 (Pubitemid 43174154)
6. G Chen J Zhou Z Liu 2004 Global synchronization of coupled delayed neural networks with application to chaotic CNN models Int J Bifurcat Chaos 14 2229 2240 10.1142/S0218127404010655 (Pubitemid 40242101)
7. Clarke FH (1983) Optimization and nonsmooth analysis. Wiley, Newyork
8. BT Cui XY Lou 2009 Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control Chaos Solitons Fractals 39 288 294 10.1016/j.chaos.2007.01.100
9. M Feki 2003 An adaptive chaos synchronizationschemeapplied to secure communication Chaos Solitons Fractals 18 141 148 10.1016/S0960-0779(02)00585-4
10. X Gao S Zhong F Gao 2009 Exponential synchronization of neural networks with time-varying delays Nonlinear Anal 71 2003 2011 10.1016/j.na.2009.01.243
11. M Gilli 1993 Strange attractors in delayed cellular neural networks IEEE Trans Circuits Syst 40 849 853 10.1109/81.251826
12. H Haken 2007 Towards a unifying model of neural net activity in the visual cortex Cogn Neurodyn 1 15 25 19003493 10.1007/s11571-006-9005-6
13. J Hu 2009 Synchronization conditions for chaotic nonlinear continuous neural networks Chaos Solitons Fractals 41 2495 2501 10.1016/j.chaos.2008.09.026
14. VK Jirsa 2008 Dispersion and time delay effects in synchronized spike-burst networks Cogn Neurodyn 2 29 38 19003471 10.1007/s11571-007-9030-0 (Pubitemid 351191295)
15. XY Lou BT Cui 2006 New LMI conditions for delay-dependent asymptotic stability of Hopfield neural networks Neurocomputing 69 2374 2378 10.1016/j.neucom.2006.02.019 (Pubitemid 44340639)
16. XY Lou BT Cui 2007 Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays IEEE Trans Syst Man Cybern Part B 37 713 719 10.1109/TSMCB.2006.887426 (Pubitemid 46784604)
17. HT Lu 2002 Chaotic attractors in delayed neural networks Phys Lett A 298 109 116 10.1016/S0375-9601(02)00538-8 1:CAS:528:DC%2BD38XktFemurc%3D
18. X Shi Q Wang Q Lu 2008 Firing synchronization and temporal order in noisy neural networks Cogn Neurodyn 2 195 206 19003485 10.1007/s11571-008-9055-z
19. L Wang W Ding D Chen 2010 Synchronization schemes of a class of fuzzy cellular neural networks based on adaptive control Phys Lett A 374 1440 1449 10.1016/j.physleta.2010.01.029 1:CAS:528:DC%2BC3cXjtFKnsr0%3D
20. H Yu Y Liu 2003 Chaotic synchronization based on stability creterion of linear systems Phys Lett A 314 292 298 10.1016/S0375-9601(03)00908-3 1:CAS:528:DC%2BD3sXls1artr8%3D
21. XM Zhang Q-L Han 2009 A delay decomposition approach to delay dependent stability for linear systems with time varying delays Int J Robust Nonlinear Control 19 1922 1930 10.1002/rnc.1413