Skip to main content

New Stability Results for Delayed Neural Networks

  • Conference paper
KI 2005: Advances in Artificial Intelligence (KI 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3698))

Included in the following conference series:

  • 713 Accesses

Abstract

By constructing suitable Lyapunov functionals and combing with matrix inequality technique, some new sufficient conditions are presented for the global asymptotic stability of delayed neural networks. These conditions contain and improve some of the previous results in the earlier references.

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

Access this chapter

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zhang, Q., Ma, R., Xu, J.: Stability of Cellular Neural Networks with Delay. Electron. Lett. 37, 575–576 (2001)

    Article  Google Scholar 

  2. Zhang, Q., Ma, R., Chao, W., Jin, X.: On the Global Stability of Delayed Neural Networks. IEEE Trans. Automatic Control 48, 794–797 (2003)

    Article  Google Scholar 

  3. Zhang, Q., Wei, X.P., Xu, J.: Global Asymptotic Stability of Hopfield Neural Networks with Transmission Delays. Phys. Lett. A 318, 399–405 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Chua, L.O., Yang, L.: Cellular Neural Networks: Theory and Applications. IEEE Trans. Circuits Syst. I 35, 1257–1290 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  5. Arik, S.: Stability Analysis of Delayed Neural Networks. IEEE Trans. Circuits Syst. I 47, 1089–1092 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  6. Arik, S.: An Improved Global Stability Result for Delayed Cellular Neural Networks. IEEE Trans. Circuits Syst. I 49, 1211–1214 (2002)

    Article  MathSciNet  Google Scholar 

  7. Arik, S.: On the Global Asymptotic Stability of Delayed Cellular Neural Networks. IEEE Trans. Circuits Syst. I 47, 571–574 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  8. Arik, S.: An Analysis of Global Asymptotic Stability of Delayed Cellular Neural Networks. IEEE Trans. Neural Networks 13, 1239–1242 (2002)

    Article  Google Scholar 

  9. Liao, T.L., Wang, F.C.: Global Stability for Cellular Neural Networks with Time Delay. IEEE Trans. Neural Networks 11, 1481–1484 (2000)

    Article  Google Scholar 

  10. Cao, J.: Global Stability Conditions for Delayed CNNs. IEEE Trans. Circuits Syst. I 48, 1330–1333 (2001)

    Article  MATH  Google Scholar 

  11. Roska, T., Wu, C.W., Balsi, M., Chua, L.O.: Stability and Dynamics of Delay-Type General and Cellular Neural Networks. IEEE Trans. Circuits Syst. 39, 487–490 (1992)

    Article  MATH  Google Scholar 

  12. Zhang, J., Jin, X.: Global Stability Analysis in Delayed Hopfiled Neural Network Models. Neural Networks 13, 745–753 (2000)

    Article  Google Scholar 

  13. Liao, X., Chen, G., Sanchez, E.N.: LMI-Based Approach for Asymptotically Stability Analysis of Delayed Neural Networks. IEEE Trans. Circuits Syst. I 49, 1033–1039 (2002)

    Article  MathSciNet  Google Scholar 

  14. Arik, S.: Global Asymptotic Stability of A Larger Class of Neural Networks with Constant Time Delay. Phys. Lett. A 311, 504–511 (2003)

    Article  MATH  Google Scholar 

  15. Liao, X., Wong, K.W., Yang, S.: Stability Analysis for Delayed Cellular Neural Networks Based on Linear Matrix Inequality Approach. International Journal of Bifurcation and Chaos 14, 3377–3384 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  16. Singh, V.: A Generalized LMI-Based Approach to the Global Asymptotic Stability of Delayed Cellular Neural Networks. IEEE Trans. Neural Networks 15, 223–225 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, Q. (2005). New Stability Results for Delayed Neural Networks. In: Furbach, U. (eds) KI 2005: Advances in Artificial Intelligence. KI 2005. Lecture Notes in Computer Science(), vol 3698. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11551263_18

Download citation

  • DOI: https://doi.org/10.1007/11551263_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28761-2

  • Online ISBN: 978-3-540-31818-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics