Exponential synchronization of coupled memristive neural networks with time delays

Neural Computing and Applications

Volumn 24, Issue 6, 2014, Pages 1421-1430

  Wang, Guan ^a,b   Shen, Yi ^a,b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Coupled neural networks; Exponential synchronization; Memristor; State dependent switching; Time delays

Indexed keywords

ELECTRIC NETWORK TOPOLOGY; MEMRISTORS; PASSIVE FILTERS; SYNCHRONIZATION; TIME DELAY;

COUPLED NEURAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; INFORMATION EXCHANGES; MEMRISTOR; STATE-DEPENDENT SWITCHING; STRONGLY CONNECTED; SYNCHRONIZATION PERFORMANCE; UNDERLYING NETWORKS;

NEURAL NETWORKS;

EID: 84897987478     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-013-1349-3     Document Type: Article

References (42)

1. Chua LO (1971) Memristor-the missing circuit element. IEEE Trans Circuit T 18: 507-519.
2. Strukov DB, Snider GS, Stewart DR, Williams RS (2008) The missing memristor found. Nature 453: 80-83.
3. Itoh M, Chua LO (2008) Memristor oscillators. Int J Bifurcation Chaos 18: 3183-3206.
4. Borghetti J, Snider GS, Kuekes PJ, Yang JJ, Stewart DR, Williams RS (2010) 'Memristive' switches enable 'stateful' logic operations via material implication. Nature 464: 873-876.
5. Pershin YV, Di Ventra M (2010) Experimental demonstration of associative memory with memristive neural networks. Neural Netw 23: 881-886.
6. Hu J, Wang J (2010) Global uniform asymptotic stability of memristor-based recurrent neural networks with time delays. In: Proceedings of international joint conference on neural networks 2010, Spain.
7. Wu AL, Zeng ZG, Zhu XS, Zhang J (2011) Exponential synchronization of memristor-based recurrent neural networks with time delays. Neurocomputing 74: 3043-3050.
8. Wen SP, Wu AL, Zeng ZG (2012) Synchronization control of a class of memristor-based recurrent neural networks. Inf Sci 183: 106-116.
9. Wen SP, Zeng ZG, Huang TW (2012) Dynamic behaviors of memristor-based delayed recurrent networks. Neural Comput Appl doi: 10. 1007/s00521-012-0998-y.
10. Wen SP, Zeng ZG, Huang TW (2012) Exponential stability analysis of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 97: 233-240.
11. Wu AL, Zeng ZG (2012) Dynamic behaviors of memristor-based recurrent neural networks with time-varying delays. Neural Netw 36: 1-10.
12. Wu AL, Zeng ZG (2012) Exponential stabilization of memristive neural networks with time delays. IEEE Trans Neural Netw Learn Syst 23: 1919-1929.
13. Zhang GD, Shen Y, Sun JW (2012) Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 97: 149-154.
14. Bao G, Zeng ZG (2012) Multistability of periodic delayed recurrent neural network with memristors. Neural Comput Appl doi: 10. 1007/s00521-012-0954-x.
15. Oskoee EN, Sahimi M (2011) Electric currents in networks of interconnected memristors. Phys Rev E 83: 031105.
16. Wen SP, Zeng ZG, Huang TW (2012) Adaptive synchronization of memristor-based Chua's circuits. Phys Lett A 376: 2775-2780.
17. Chua LO, Yang L (1988) Cellular neural networks: Theory. IEEE Trans Circuits Syst 35: 1257-1272.
18. Filippov A (1988) Differential equations with discontinuous right-hand sides, mathematics its applications. Kluwer, Boston.
19. Forti M, Nistri P (2003) Global convergence of neural networks with discontinuous neuron activations. IEEE Trans Circuits Syst I Fundam Theor Appl 50: 1421-1435.
20. Chang CL, Fan KW, Chung IF, Lin CH (2006) A recurrent fuzzy coupled cellular neural network system with automatic structure and template learning. IEEE Trans Circuits Syst Express Briefs 53: 602-606.
21. Yang XS, Cao J, Lu JQ (2012) Synchronization of Markovian coupled neural networks with nonidentical node-delays and random coupling strengths. IEEE Trans Neural Netw Learn Syst 23: 60-71.
22. Wu CW (2010) Evolution and dynamics of complex networks of coupled systems. IEEE Circuits Syst Mag 10: 55-63.
23. Wu W, Chen T (2008) Global synchronization criteria of linearly coupled neural network systems with time-varying coupling. IEEE Trans Neural Netw 19: 319-332.
24. Zhang H, Liu D, Wang ZL (2009) Controlling chaos: suppression, synchronization and chaotification. Springer, London.
25. Zhang H, Ma TD, Huang GB, Wang ZL (2010) Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Trans Syst Man Cybern Part B Cybern 40: 831-844.
26. Wang YW, Xiao JW, Wen CY, Guan ZH (2011) Synchronization of continuous dynamical networks with discrete-time communications, IEEE Trans Neural Netw 22: 1979-1986.
27. Jin XZ, Yang GH, Che WW (2012) Adaptive pinning control of deteriorated nonlinear coupling networks with circuit realization. IEEE Trans Neural Netw Learn Syst 23: 1345-1355.
28. Ganguli S, Huh D, Sompolinsky H (2008) Memory traces in dynamical systems. Proc Nat Acad Sci USA 105: 18970-18975.
29. Shen Y, Wang J (2007) Noise-induced stabilization of the recurrent neural networks with mixed time-varying delays and Markovian-switching parameters. IEEE Trans Neural Netw 18: 1857-1862.
30. Zhang H, Wang YC (2008) Stability analysis of Markovian jumping stochastic Gohen-Grossberg neural networks with mixed time delays. IEEE Trans Neural Netw 19: 366-370.
31. Yang M, Wang YW, Xiao JW, Wang HO (2010) Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays. Nonlinear Anal Real World Appl 11: 3008-3020.
32. Lü JH, Yu XH, Chen GR, Cheng DZ (2004) Characterizing the synchronizability of small-world dynamical networks. IEEE Trans Circuits Syst Regul Pap 51: 787-796.
33. Liang JL, Wang Z, Liu YR, Liu XH (2008) Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans Neural Netw 19: 1910-1920.
34. ∞ synchronization design of nonlinear coupled network via fuzzy interpolation method. IEEE Trans Circuits Syst Regul Pap 58: 349-362.
35. Langville AN, Stewart WJ (2004) The Kronecker product and stochastic automata networks. J Comput Appl Math 167: 429-447.
36. Lu JQ, Ho DWC, Wang Z (2009) Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Trans Neural Netw 20: 1617-1629.
37. Li LL, Cao J (2011) Cluster synchronization in an array of coupled stochastic delayed neural networks via pinning control. Neurocomputing 74: 846-856.
38. Rakkiyappan R, Balasubramaniam P (2010) On exponential stability results for fuzzy impulsive neural networks. Fuzzy Sets Syst 161: 1823-1835.
39. Boyd S, Laurent EG, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, Philadelphia.
40. Li Z, Jiao LC, Lee JJ (2008) Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength. Phys A Stat Mech Appl 387: 1369-1380.
41. Liu ZW, Zhang H, Zhang QL (2010) Novel stability analysis for recurrent neural networks with multiple delays via line integral-type L-K functional. IEEE Trans Neural Netw 21: 1710-1718.
42. Watts DJ, Strogatz HS (1998) Collective dynamics of 'small-world' networks. Nature 393: 440-442.