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Sun, Yonghui; Cao, Jinde

Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation. (English) Zbl 1203.93110

Phys. Lett., A 364, No. 3-4, 277-285 (2007).
Summary: The adaptive lag synchronization issue of unknown chaotic delayed neural networks with noise perturbation is considered in detail. Via adaptive feedback control techniques, the suitable parameters update laws are proposed, then several sufficient conditions are derived to ensure lag synchronization of unknown delayed neural networks with or without noise perturbation. Moreover, some appropriate comparisons are made to contrast to some of existing results about complete synchronization of chaotic systems with or without noise perturbation. Then, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed adaptive scheme. Finally, the proposed adaptive feedback scheme is applied to the secure communication.

Cited in 47 Documents

MSC:

93C40 Adaptive control/observation systems
93B52 Feedback control
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34H10 Chaos control for problems involving ordinary differential equations

Keywords:

adaptive lag synchronization; noise perturbation; mean square asymptotic stability; lasalle invariance principle; chaotic delayed neural networks; adaptive feedback control
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\textit{Y. Sun} and \textit{J. Cao}, Phys. Lett., A 364, No. 3--4, 277--285 (2007; Zbl 1203.93110)
Full Text: DOI

References:

[1] Lü, J.; Yu, X.; Chen, G., Physica A, 334, 281 (2004)
[2] Zhang, Y.; He, Z., Proc. IEEE Int. Conf. Intelligent Processing Systems, 1, 521 (1997)
[3] Pecora, L.; Carroll, T., Phys. Rev. Lett., 64, 821 (1990)
[4] Liao, X.; Chen, G., Int. J. Bifur. Chaos, 13, 207 (2003)
[5] Huang, X.; Cao, J.; Ho, D. W.C., Int. J. Bifur. Chaos, 16, 2293 (2006)
[6] Cao, J.; Li, H.; Ho, D. W.C., Chaos Solitons Fractals, 23, 1285 (2005)
[7] Liu, B.; Liu, X.; Chen, G.; Wang, H., IEEE Trans. Circuits Systems I, 52, 1431 (2005)
[8] Wang, Y.; Guan, Z.; Xiao, J., Chaos, 14, 199 (2004)
[9] Lu, J.; Cao, J., Chaos, 15, 043901 (2005)
[10] Cao, J.; Lu, J., Chaos, 16, 013133 (2006)
[11] Zhou, J.; Chen, T.; Xiang, L., Chaos Solitons Fractals, 27, 905 (2006)
[12] Gilli, M., IEEE Trans. Circuits Systems I, 40, 849 (1993)
[13] Lu, H., Phys. Lett. A, 298, 109 (2002)
[14] Chen, G.; Zhou, J.; Liu, Z., Int. J. Bifur. Chaos, 14, 2229 (2004)
[15] Hopfield, J., Proc. Natl. Acad. Sci. USA, Biophys., 81, 3088 (1984)
[16] Cao, J., Phys. Lett. A, 270, 157 (2000)
[17] Cao, J., Phys. Lett. A, 307, 136 (2003)
[18] Cao, J.; Wang, J., IEEE Trans. Circuits Systems I, 52, 417 (2005)
[19] Taherion, S.; Lai, Y. Ch., Phys. Rev. E, 59, 6247 (1999)
[20] Shahverdiev, E. M.; Sivaprakasam, S.; Shore, K. A., Phys. Lett. A, 292, 320 (2002)
[21] Shahverdiev, E. M.; Shore, K. A., Phys. Rev. E, 71, 016201 (2005)
[22] Hramov, A. E.; Koronovskii, A. A., Phys. Rev. E, 71, 067201 (2005)
[23] Huang, X.; Cao, J., Nonlinearity, 19, 2797 (2006)
[24] Masoller, C., Physica A, 295, 301 (2001)
[25] Boccaletti, S.; Kurths, J.; Osipov, G.; Valladares, D. L.; Zhou, C., Phys. Rep., 366, 1 (2002)
[26] Li, C.; Liao, X.; Wong, K., Physica D, 194, 187 (2004)
[27] Zhou, J.; Chen, T.; Xiang, L., Circuits Systems Signal Processing, 24, 599 (2005)
[28] Corron, N. J.; Blakely, J. N.; Pethel, S. D., Chaos, 15, 023110 (2005)
[29] Hu, G.; Pivka, L.; Zheleznyak, A., IEEE Trans. Circuits Systems I, 42, 736 (1995)
[30] Sáchez, E.; Matías, M.; Muñuzuri, V., Phys. Rev. E, 56, 4068 (1997)
[31] Zhou, C.; Kurths, J.; Kiss, I. Z.; Hudson, J. L., Phys. Rev. Lett., 89, 014101 (2002)
[32] Shuai, J.; Wong, K., Phys. Rev. E, 57, 7002 (1998)
[33] Wang, M.; Hou, Z.; Xin, H., J. Phys. A, 38, 145 (2005)
[34] Wellens, T.; Shatokhin, V.; Buchleitner, A., Rep. Prog. Phys., 67, 45 (2004)
[35] Lin, W.; He, Y., Chaos, 15, 023705 (2005)
[36] Lin, W.; Chen, G., Chaos, 16, 013134 (2006)
[37] Huang, D.; Guo, R., Chaos, 14, 152 (2004)
[38] Friedman, A., Stochastic Differential Equations and Applications (1976), Academic Press: Academic Press New York
[39] Mao, X., J. Math. Anal. Appl., 268, 125 (2002)
[40] Cao, J.; Song, Q., Nonlinearity, 19, 1601 (2006)
[41] Cao, J.; Yuan, K.; Li, H., IEEE Trans. Neural Networks, 17, 1646 (2006)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.