Skip to main content
SpringerLink
Log in

Adaptive Synchronization of Complex Networks with Time-Varying Delay Nodes and Delay Coupling

  • Conference paper
  • First Online:
Trustworthy Computing and Services (ISCTCS 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 426))

Included in the following conference series:

  • 1175 Accesses

Abstract

A novel adaptive synchronization scheme for complex network with time-varying delay and delay coupling is proposed in this paper. Based on Lyapunov stability theory, a linear adaptive controller is designed which can be used in the future practical engineering. Sufficient experimental results on the network synchronization are given to ensure that the dynamic network can synchronize the individual node state in any specified networks. Finally, numerical simulations show the good performance of this proposed scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Albert, R., Barabasi, A.L.: Statistical mechanics of complex networks. Mod. Phys. 74(1), 47–97 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Wang, X., Chen, G.: Complex networks: small-world, scale-free and beyond. IEEE Circ. Syst. 3(1), 6–20 (2003)

    Article  Google Scholar 

  3. Lü, J., Yu, X., Chen, G., Cheng, D.: Characterizing the synchronizability of small-world dynamical networks. IEEE Trans. Circ. Syst. 51(4), 787–796 (2004)

    Article  Google Scholar 

  4. Liu, Y.Z., Jiang, C.S., Lin, C.S., et al.: Chaotic synchronization secure communications based on the Lorenz systems switch. J. Electron. Inf. Technol. 29(11), 2641–2644 (2009)

    Google Scholar 

  5. Zhou, J., Xiang, L., Liu, Z.R.: Synchronization in complex delayed dynamical networks with impulsive effects. Phys. A 384, 684–692 (2007)

    Article  MathSciNet  Google Scholar 

  6. Li, C., Chen, G.: Synchronization in general complex delayed dynamical networks with coupling delays. Phys. A 2004(343), 263–278 (2004)

    Article  MATH  Google Scholar 

  7. Zhou, J., Chen, T.: Synchronization in general complex delayed dynamical networks. IEEE Trans. Circ. Syst. Reg. Pap. 53(3), 733–744 (2006)

    Article  Google Scholar 

  8. Atay, F., Masoller, F.: Complex transitions to synchronization in delay-coupled networks of logistic maps. Final Version Eur. Phys. 62(5), 119–126 (2011)

    Google Scholar 

  9. Yang, Z.Q., Liu, Z.X.: Adaptive synchronization of uncertain complex delayed dynamical networks. Int. J. Nonlinear Sci. 3(2), 125–132 (2007)

    MathSciNet  Google Scholar 

  10. Luo, Q., Wu, W., Li, L.X., Yang, Y.X., Peng, H.P.: Adaptive synchronization re search on the uncertain complex networks with time-delay. ACTA Phys. Sin. 57(3), 60–65 (2008)

    MathSciNet  Google Scholar 

  11. Li, P., Yi, Z.: Synchronization analysis of delay complex networks with time-varying couplings. Phys. A 87(3), 3729–3737 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Science, Civil Aviation University of China, Tianjin, China

    Yu Zhang & Feiyan Li

Authors
  1. Yu Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Feiyan Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu Zhang .

Editor information

Editors and Affiliations

  1. Beijing University of Posts and Telecommunications, Beijing, China

    Yuyu Yuan

  2. Beijing University of Posts and Telecommunications, Beijing, China

    Xu Wu

  3. Beijing University of Posts and Telecommunications, Beijing, China

    Yueming Lu

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, Y., Li, F. (2014). Adaptive Synchronization of Complex Networks with Time-Varying Delay Nodes and Delay Coupling. In: Yuan, Y., Wu, X., Lu, Y. (eds) Trustworthy Computing and Services. ISCTCS 2013. Communications in Computer and Information Science, vol 426. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43908-1_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-43908-1_36

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43907-4

  • Online ISBN: 978-3-662-43908-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation