Skip to main content
SpringerLink
Log in

Delay-Dependent Criteria for Global Stability of Delayed Neural Network System

  • Conference paper
Advances in Neural Networks – ISNN 2004 (ISNN 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3173))

Included in the following conference series:

Abstract

In this paper, we discuss delayed neural networks, investigating the global exponential stability of their equilibria. Delay- dependent criteria ensuring global stability are given. A numerical example illustrating the dependence of stability on the delays is presented.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Liao, X.X., Wang, J.: Algebraic Criteria for Global Exponential Stability of Cellular Neural Networks with Multiple Time Delays. IEEE Trans. CAS-1 50, 268–275 (1995)

    Article  MathSciNet  Google Scholar 

  2. Cao, J.: Global Asymptotical Stability of Delayed Bi-directional Associative Memory Neural Networks. Appl. Mtah. Comp. 142, 333–339 (2003)

    Article  MATH  Google Scholar 

  3. Zhang, J.: Global Stability Analysis in Delayed Cellular Neural Networks. Comp. Math. Appl. 45, 1707–1720 (2003)

    Article  MATH  Google Scholar 

  4. Zhang, Q., et al.: On the Global Stability of Delayed Neural Networks. IEEE Trans. Auto. Cont. 48, 794–797 (2003)

    Article  Google Scholar 

  5. Chen, T.P.: Global Exponential Stability of Delayed Hopfield Neural Networks. Neural Networks 14, 977–980 (2001)

    Article  Google Scholar 

  6. Arik, S.: Global Asymptotical Stability of a Large Class of Neural Networks with Constant time Delay. Phys. Lett. A 311, 504–511 (2003)

    Article  MATH  Google Scholar 

  7. Lu, W.L., Rong, L.B., Chen, T.P.: Global Convergence of DElayed Neural Network Systems. Inter. J. Neural Syst. 13, 193–204 (2003)

    Article  Google Scholar 

  8. Hochreiter, S., Schmidhuber, J.: Long Short-term Memory. Neural Computation 9, 1735–1780 (1997)

    Article  Google Scholar 

  9. Li, X.M., Huang, L.H., Wu, J.H.: Further Results on the Stability of Delayed Cellular Neural Networks. IEEE Trans. CAS-1 50, 1239–1242 (2003)

    Article  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai, 200433, P.R. China

    Wenlian Lu & Tianping Chen

Authors
  1. Wenlian Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tianping Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, China

    Fu-Liang Yin

  2. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  3. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, Liaoning, China

    Chengan Guo

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lu, W., Chen, T. (2004). Delay-Dependent Criteria for Global Stability of Delayed Neural Network System. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-28647-9_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22841-7

  • Online ISBN: 978-3-540-28647-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation