Skip to main content

Synchronization of a Class of Coupled Discrete Recurrent Neural Networks with Time Delay

  • Conference paper
  • 69 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3971))

Abstract

This paper studies the synchronization of a class of coupled discrete recurrent neural networks with time delay. The local and global conditions are obtained by using Lyapunov functional and linear matrix inequality methods.

This work was supported by National Science Foundation of China under Grant 60471055 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20040614017.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Wu, C., Chua, L.O.: A Unified Framework for Synchronization and Control of Dynamical Systems. Int. J. Bifurcation Chaos 4(4), 979–998 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  2. Zheleznyak, A., Chua, L.O.: Coexistence of Low- and High-Dimensional Spatio-Temporal Chaos in a Chain of Dissipatively Coupled Chua’s Circuits. Int. J. Bifurcation Chaos 4(3), 639–674 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  3. Forti, M.: On Global Asymptotic Stability of a Class of Nonlinear Systems Arising in Neural Network Theory. Journal of Differential Equations 113, 246–264 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  4. Perez-Munuzuri, A., Perez-Villar, V.: Autowaves for Image Processing on a Two-Dimensional CNN Array of Excitable Nonlinear Circuits:Flat and Wrinkled Labyrinths. IEEE. Circuits Syst.-I 40, 174–181 (1993)

    Article  MATH  Google Scholar 

  5. Louis, M., Thomas, C.: Synchronization in Chaotic Systems. Phys. Rev. Lett. 64, 821–824 (1990)

    Article  MathSciNet  Google Scholar 

  6. Wu, C., Chua, L.O.: Synchronization in An Array of Linearly Coupled Dynamical Systems. IEEE Trans. on Circuit and systems-I 42, 430–447 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  7. Krinsky, V., Biktashev, V., Efimov, L.: Autowaves Principle for Parallel Image Processing. Phys. D 49, 247–253 (1991)

    Article  Google Scholar 

  8. Zhang, Y., He, Z.: A Secure Communication Scheme Based on Cellular Neural Networks. In: Proc. IEEE Int. Conf. Intelligent Processing systems, vol. 1, pp. 521–524 (1997)

    Google Scholar 

  9. Lu, W., Chen, T.: Synchronization of Coupled Connected Neural Networks with Delays. IEEE trans. on Circuit and systems 51, 2491–2503 (2004)

    Article  MathSciNet  Google Scholar 

  10. Yi, Z., Lv, J., Zhang, L.: Output Convergence Analysis For a Class of Delayed Recurrent Neural Networks with Time Varing Inputs. IEEE Trans. on Systems, Man, and Cybernetics 36(1), 87–95 (2006)

    Article  MATH  Google Scholar 

  11. Lu, W., Chen, T.: Synchronization Analysis of Linearly Coupled Networks of Discrete Time Systems. Physica D 198, 148–168 (2004)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, P. (2006). Synchronization of a Class of Coupled Discrete Recurrent Neural Networks with Time Delay. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11759966_48

Download citation

  • DOI: https://doi.org/10.1007/11759966_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34439-1

  • Online ISBN: 978-3-540-34440-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics