Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014, Article ID 162610, 7 pages
http://dx.doi.org/10.1155/2014/162610
Research Article

Complex Dynamical Network Control for Trajectory Tracking Using Delayed Recurrent Neural Networks

Facultad de Ciencias Fisico Matematicas, Universidad Autonoma de Nuevo Leon (UANL), 66451 San Nicolás de los Garza, NL, Mexico

Received 21 March 2013; Accepted 12 September 2013; Published 2 January 2014

Academic Editor: Chuandong Li

Copyright © 2014 Jose P. Perez 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. X. F. Wang, “Complex networks: topology, dynamics and synchronization,” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 12, no. 5, pp. 885–916, 2002. View at Publisher · View at Google Scholar · View at Scopus
  2. C. Wu, Synchronization in Coupled Chaotic Circuits and Systems, World Scientific, Singapore, 2002.
  3. M. E. J. Newman, “The structure and function of complex networks,” SIAM Review, vol. 45, no. 2, pp. 167–256, 2003. View at Google Scholar · View at Scopus
  4. P. Baldi and A. F. Atiya, “How delays affect neural dynamics and learning,” IEEE Transactions on Neural Networks, vol. 5, no. 4, pp. 612–621, 1994. View at Publisher · View at Google Scholar · View at Scopus
  5. X. Liao, G. Chen, and E. N. Sanchez, “LMI-based approach for asymptotically stability analysis of delayed neural networks,” IEEE Transactions on Circuits and Systems I, vol. 49, no. 7, pp. 1033–1039, 2002. View at Publisher · View at Google Scholar · View at Scopus
  6. X. Liao, G. Chen, and E. N. Sanchez, “Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach,” Neural Networks, vol. 15, no. 7, pp. 855–866, 2002. View at Publisher · View at Google Scholar · View at Scopus
  7. H. Khalil, Nonlinear System Analysis, Prentice Hall, Upper Saddle River, NJ, USA, 2nd edition, 1996.
  8. M. Krstic and H. Deng, Stabilization of Nonlinear Uncertain Systems, Springer, New York, NY, USA, 1998.
  9. E. N. Sanchez and J. P. Perez, “Input-to-state stability (ISS) analysis for dynamic neural networks,” IEEE Transactions on Circuits and Systems I, vol. 46, no. 11, pp. 1395–1398, 1999. View at Publisher · View at Google Scholar · View at Scopus
  10. E. N. Sanchez, J. P. Perez, and J. Perez, “Trajectory tracking for delayed recurrent neural networks,” in Proceedings of the American Control Conference, pp. 2280–2284, Minneapolis, Minn, USA, June 2006. View at Scopus
  11. X. Li, X. Wang, and G. Chen, “Pinning a complex dynamical network to its equilibrium,” IEEE Transactions on Circuits and Systems I, vol. 51, no. 10, pp. 2074–2087, 2004. View at Publisher · View at Google Scholar · View at Scopus
  12. P. A. Ioannou and J. Sun, Robust Adaptive Control, Prentice-Hall, Upper Saddle River, NJ, USA, 1995.