Synchronization-based approach for parameters identification in delayed chaotic neural networks

Physica A: Statistical Mechanics and its Applications

Volumn 382, Issue 2, 2007, Pages 672-682

  Lu, Jianquan ^a,b   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Adaptive; Chaotic neural network; Parameters identification; Synchronization; Time varying delay

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CHAOTIC SYSTEMS; IDENTIFICATION (CONTROL SYSTEMS); SYNCHRONIZATION; TIME SERIES ANALYSIS;

ADAPTIVE GAIN; CHAOTIC NEURAL NETWORKS; TIME VARYING DELAY;

NEURAL NETWORKS;

EID: 34250619551     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.04.021     Document Type: Article

References (40)

1. Chen G.R., and Dong X. From Chaos to Order: Methodologies, Perspectives, and Applications (1998), World Science Publishing Company, Singapore
2. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990) 821-824
3. Ott E., Grebogi C., and Yorke J.A. Controlling chaos. Phys. Rev. Lett. 64 (1990) 1196-1199
4. Ojalvo J.G., and Roy R. Spatiotemporal communication with synchronized optical chaos. Phys. Rev. Lett. 86 22 (2001) 5204-5207
5. Yang T., and Chua L.O. Impulsive stabilization for control and synchronization of chaotic system: theory and application to secure communication. IEEE Trans. Circuits Syst. I 44 (1997) 976-988
6. Boccaletti S., Kurths J., Osipov G., Valladares D.L., and Zhou C.S. The synchronization of chaotic systems. Phys. Rep. 366 (2002) 1-101
7. Heagy J.F., Carroll T.L., and Pecora L.M. Experimental and numerical evidence for riddled basins in coupled chaotic systems. Phys. Rev. Lett. 73 26 (1994) 3528-3531
8. Fang J.Q., Hong Y., and Chen G. Switching manifold approach to chaos synchronization. Phys. Rev. E 59 3 (1999) R2523-R2526
9. Yu X.H., Chen G.R., Xia Y., Song Y.X., and Cao Z.W. An invariant-manifold-based method for chaos control. IEEE Trans. Circuits Syst. I 48 8 (2001) 930-937
10. Tanaka K., Ikeda T., and Wang H.O. A unified approach to controlling chaos via an LMI-based fuzzy control system design. IEEE Trans. Circuits Syst. I 45 (1998) 1021-1040
11. Yang T., Yang L.B., and Yang C.M. Impulsive control of Lorenz system. Physica D 110 (1997) 18-24
12. Li P., Cao J.D., and Wang Z.D. Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Physica A 373 (2007) 261-272
13. Xiong W.J., Xie W., and Cao J.D. Adaptive exponential synchronization of delayed chaotic networks. Physica A 370 (2006) 832-842
14. Wang X.F. Slower speed and stronger coupling: adaptive mechanisms of chaos synchronization. Phys. Rev. E 65 (2002) 067202
15. Maybhate A., and Amritkar R.E. Dynamic algorithm for parameter estimation and its applications. Phys. Rev. E 61 6 (2000) 6461-6470
16. Huang D.B. Simple adaptive-feedback controller for identical chaos synchronization. Phys. Rev. E 71 (2005) 037203
17. Huang D.B. Stabilizing near-nonhyperbolic chaotic systems with applications. Phys. Rev. Lett. 93 (2004) 214101
18. Lu J.Q., and Cao J.D. Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Chaos 15 (2005) 043901
19. Cao J.D., Li H.X., and Ho D.W.C. Synchronization criteria of Lur'e systems with time-delay feedback control. Chaos Solitons Fractals 23 (2005) 1285-1298
20. Hopfield J.J. Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Nat. Acad. Sci. USA 81 (1984) 3088-3092
21. Xu S.Y., Lam J., Ho D.W.C., and Zou Y. Novel global asymptotic stability criteria for delayed cellular neural networks. IEEE Trans. Circuits Syst. II 52 6 (2005) 349-353
22. Arik S. Global asymptotic stability of a class of dynamical neural networks. IEEE Trans. Circuits Syst. I 47 4 (2000) 568-571
23. Liao X.X., Wang J., and Zeng Z.G. Global asymptotic stability and global exponential stability of delayed dellular neural networks. IEEE Trans. Circuits Syst. II 52 7 (2005) 403-409
24. Zou F., and Nossek J.A. Bifurcation and chaos in cellular neural networks. IEEE Trans. Circuits Syst. I 40 3 (1993) 166-173
25. Lu H.T. Chaotic attractors in delayed neural networks. Phys. Lett. A 298 (2002) 109-116
26. Chen G.R., Zhou J., and Liu Z.R. Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Int. J. Bifurc. Chaos 14 7 (2004) 2229-2240
27. Cheng C.J., Liao T.L., and Hwang C.C. Exponential synchronization of a class of chaotic neural networks. Chaos Solitons Fractals 24 (2005) 197-206
28. Cao J.D., and Lu J.Q. Adaptive synchronization of neural networks with or without time-varying delay. Chaos 16 (2006) 013133
29. Parlitz U. Estimating model parameters from time series by autosynchronization. Phys. Rev. Lett. 76 8 (1996) 1232-1235
30. Yu D.C., and Wu A. Comment on Estimating model parameters from time series by autosynchronization. Phys. Rev. Lett. 94 (2005) 219401
31. Parlitz U., Junge L., and Kocarev L. Synchronization-based parameter estimation from time series. Phys. Rev. E 54 6 (1996) 6253-6259
32. Sakaguchi H. Parameter evaluation from time sequences using chaos synchronization. Phys. Rev. E 65 (2002) 027201
33. Freitas U.S., Macau E.E.N., and Grebogi C. Using geometric control and chaotic synchronization to estimate an unknown model parameter. Phys. Rev. E 71 (2005) 047203
34. Naudts J. Parameter estimation in non-extensive thermostatistics. Physica A 365 (2006) 42-49
35. Konnur R. Synchronization-based approach for estimating all model parameters of chaotic systems. Phys. Rev. E 67 (2003) 027204
36. Huang D.B. Synchronization-based estimation of all parameters of chaotic systems from time series. Phys. Rev. E 69 (2004) 067201
37. Huang D.B. Adaptive-feedback control algorithm. Phys. Rev. E 73 (2006) 066204
38. Chen S.H., and Lü J.H. Parameters identification and synchronization of chaotic systems based upon adaptive control. Phys. Lett. A 299 (2002) 353-358
39. Lu J.A., Tao C.H., Lü J.H., and Liu M. Parameter identification and tracking of a unified system. Chin. Phys. Lett. 19 5 (2002) 632-635
40. Hale J.K. Theory of Functional Differential Equation (1977), Springer, New York