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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 501461, 5 pages
http://dx.doi.org/10.1155/2013/501461
Research Article

Lag Synchronization of Coupled Delayed Chaotic Neural Networks by Periodically Intermittent Control

1College of Communication Engineering, Chongqing University, Chongqing 400030, China
2School of Engineering, University of Guelph, Guelph, ON, Canada N1G 2W1
3College of Continuing Education, Chongqing University of Education, Chongqing 400065, China
4School of Mathematics and Information Engineering, Chongqing University of Education, Chongqing 400065, China

Received 17 October 2012; Accepted 30 December 2012

Academic Editor: Chuandong Li

Copyright © 2013 Songjian Dan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Physical Review Letters, vol. 64, no. 8, pp. 821–824, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. L. M. Pecora and T. L. Carroll, “Driving systems with chaotic signals,” Physical Review A, vol. 44, no. 4, pp. 2374–2383, 1991. View at Publisher · View at Google Scholar · View at Scopus
  3. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Physical Review E, vol. 51, no. 2, pp. 980–994, 1995. View at Publisher · View at Google Scholar · View at Scopus
  4. R. Mainieri and J. Rehacek, “Projective synchronization in three-dimensional chaotic systems,” Physical Review Letters, vol. 82, no. 15, pp. 3042–3045, 1999. View at Scopus
  5. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Physical Review Letters, vol. 76, no. 11, pp. 1804–1807, 1996. View at Scopus
  6. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Physical Review Letters, vol. 78, no. 22, pp. 4193–4196, 1997. View at Scopus
  7. C. Masoller and D. H. Zanette, “Anticipated synchronization in coupled chaotic maps with delays,” Physica A, vol. 300, no. 3-4, pp. 359–366, 2001. View at Publisher · View at Google Scholar · View at Scopus
  8. A. L. Wu, S. P. Wen, and Z. G. Zeng, “Synchronization control of a class of memristor-based recurrent neural networks,” Information Sciences, vol. 183, no. 1, pp. 106–116, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. S. P. Wen and Z. G. Zeng, “Exponential stability analysis of memristor-based recurrent neural networks with time-varying delays,” Neurocomputing, vol. 97, pp. 233–240, 2012.
  10. Q. Zhang and J. A. Lu, “Full state hybrid lag projective synchronization in chaotic (hyperchaotic) systems,” Physics Letters A, vol. 372, no. 9, pp. 1416–1421, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, “Lag synchronization in time-delayed systems,” Physics Letters A, vol. 292, no. 6, pp. 320–324, 2002. View at Publisher · View at Google Scholar · View at Scopus
  12. C. D. Li, X. F. Liao, and K. W. Wong, “Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication,” Physica D, vol. 194, no. 3-4, pp. 187–202, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. J. Zhou, T. Chen, and L. Xiang, “Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication,” Circuits, Systems, and Signal Processing, vol. 24, no. 5, pp. 599–613, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pa, USA, 1994. View at Publisher · View at Google Scholar · View at MathSciNet
  15. A. Halanay, Differential Equations: Stability, Oscillations, Time Lags, Academic Press, San Diego, Calif, USA, 1966. View at MathSciNet
  16. J. J. Huang, C. D. Li, and Q. Han, “Stabilization of delayed chaotic neural networks by periodically intermittent control,” Circuits, Systems, and Signal Processing, vol. 28, no. 4, pp. 567–579, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. H. T. Lu, “Chaotic attractors in delayed neural networks,” Physics Letters A, vol. 298, pp. 109–116, 2002.