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Discrete Dynamics in Nature and Society
Volume 2016, Article ID 8920764, 8 pages
http://dx.doi.org/10.1155/2016/8920764
Research Article

Outer Synchronization between Two Coupled Complex Networks and Its Application in Public Traffic Supernetwork

1School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, China
2School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

Received 13 October 2015; Revised 23 December 2015; Accepted 5 January 2016

Academic Editor: David Arroyo

Copyright © 2016 Wen-ju Du 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. C. Li, W. Sun, and J. Kurths, “Synchronization between two coupled complex networks,” Physical Review E, vol. 76, no. 4, Article ID 046204, 2007. View at Publisher · View at Google Scholar · View at Scopus
  2. H. Tang, L. Chen, J.-A. Lu, and C. K. Tse, “Adaptive synchronization between two complex networks with nonidentical topological structures,” Physica A: Statistical Mechanics and Its Applications, vol. 387, no. 22, pp. 5623–5630, 2008. View at Publisher · View at Google Scholar · View at Scopus
  3. J.-R. Chen, L.-C. Jiao, J.-S. Wu, and X.-H. Wang, “Adaptive synchronization between two different complex networks with time-varying delay coupling,” Chinese Physics Letters, vol. 26, no. 6, Article ID 060505, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. M. Sun, C. Zeng, and L. Tian, “Linear generalized synchronization between two complex networks,” Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 8, pp. 2162–2167, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. J.-A. Wang, H.-P. Liu, and X. Shi, “Adaptive synchronization between two different complex networks with time-varying delay coupling,” Journal of University of Science and Technology Beijing, vol. 32, no. 10, pp. 1372–1378, 2010. View at Google Scholar · View at Scopus
  6. Y. Sun, W. Li, and D. Zhao, “Outer synchronization between two complex dynamical networks with discontinuous coupling,” Chaos, vol. 22, no. 4, Article ID 043125, 8 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. Y.-J. Liu and S. C. Tong, “Adaptive fuzzy identification and control for a class of nonlinear pure-feedback MIMO systems with unknown dead zones,” IEEE Transactions on Fuzzy Systems, vol. 23, no. 5, pp. 1387–1398, 2015. View at Publisher · View at Google Scholar
  8. Y. J. Liu, Y. Gao, S. C. Tong et al., “Fuzzy approximation-based adaptive backstepping optimal control for a class of nonlinear discrete-time systems with dead-zone,” IEEE Transactions on Fuzzy Systems, 2015. View at Publisher · View at Google Scholar
  9. Y. Sheffi, Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods, Printice-Hall, Upper Saddle River, NJ, USA, 1985.
  10. A. Nagurney and J. Dong, Supernetworks: Decision-Making for the Information Age, Edward Elgar Publishing, Cheltenham, UK, 2002.
  11. B. Wang, W. L. Wang, and X. H. Yang, “An optimal bus transport transfer algorithm based on weighted complex networks,” Journal of Wuhan University of Technology, vol. 32, no. 6, pp. 1113–1116, 2008. View at Google Scholar · View at Scopus
  12. W. Hui and H. Wang, “Empirical analysis of complex networks in public traffic networks,” Computer Technology and Development, vol. 18, no. 11, pp. 217–222, 2008. View at Google Scholar
  13. J. J. Wu, Z. Y. Gao, H. J. Sun et al., Urban Traffic System Complexity—The Method of Complex Networks and Its Application, Science Press, Beijing, China, 2010.
  14. L. Zhao, M. Deng, J. Q. Wang, and D. L. Peng, “Structural property analysis of urban street networks based on complex network theory,” Geography and Geo-Information Science, vol. 26, no. 5, pp. 11–15, 2010. View at Google Scholar
  15. Z. L. Hong, B. Y. Liu, and Y. P. Zhang, “Application of complex network in transportation network's node importance evaluation,” Journal of Xi'an Technological University, vol. 34, no. 5, pp. 404–410, 2014. View at Google Scholar
  16. X.-L. An, L. Zhang, and J.-G. Zhang, “Research on urban public traffic network with multi-weights based on single bus transfer junction,” Physica A: Statistical Mechanics and Its Applications, vol. 436, pp. 748–755, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  17. Y.-J. Liu and S. C. Tong, “Adaptive NN tracking control of uncertain nonlinear discrete-time systems with nonaffine dead-zone input,” IEEE Transactions on Cybernetics, vol. 45, no. 3, pp. 497–505, 2015. View at Publisher · View at Google Scholar · View at Scopus
  18. Y. J. Liu, Y. Gao, S. C. Tong, and C. L. Chen, “A unified approach to adaptive neural control for nonlinear discrete-time systems with nonlinear dead-zone input,” IEEE Transactions on Neural Networks and Learning Systems, vol. 27, no. 1, pp. 139–150, 2016. View at Publisher · View at Google Scholar
  19. Y. Sun, W. G. Sun, and C. P. Li, “Synchronization analysis of two networks with mutual connections,” Communication on Applied Mathematics and Computation, vol. 24, no. 2, pp. 49–54, 2010. View at Google Scholar · View at MathSciNet
  20. H. K. Khalil and J. W. Grizzle, Nonlinear Systems, Prentice Hall, New Jersey, NJ, USA, 1996.
  21. J. S. Zhao, Z. R. Di, and D. H. Wang, “Empirical research on public transport network of Beijing,” Complex Systems and Complexity Science, vol. 2, no. 2, pp. 45–48, 2005. View at Google Scholar
  22. M. Chang and S. F. Ma, “Empirical analysis for public transit networks in Chinese cities,” Journal of Systems Engineering, vol. 22, pp. 412–418, 2007. View at Google Scholar
  23. Z. Y. Gao and Y. F. Song, “A reserve capacity model of optimal signal control with user-equilibrium route choice,” Transportation Research Part B: Methodological, vol. 36, no. 4, pp. 313–323, 2002. View at Publisher · View at Google Scholar · View at Scopus