Global Exponential Stability of Delayed Impulsive Hopfield Type Neural Networks

  • Conference paper
Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

Included in the following conference series:

Abstract

This paper investigate the problems of global exponential stability and exponential convergence rate for delayed impulsive Hopfield type neural networks. By using the method of Lyapunov functions, some sufficient conditions for ensuring global exponential stability of these networks are derived, and the estimate of exponential convergence rate is also obtained. A numerical example is worked out to illustrate the obtained results.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 85.59
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 106.99
Price includes VAT (Germany)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** 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.

Similar content being viewed by others

References

  1. Liao, X.X., Liao, Y.: Stability of Hopfield-type Neural Networks (II). Science in China (Series A) 40, 813–816 (1997)

    Article  MATH  Google Scholar 

  2. Sun, C.Y., Zhang, K.J., Fei, S.M., Feng, C.B.: On Exponential Stability of Delayed Neural Networks with a General Class of Activation Functions. Physics Letters A 298, 122–132 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  3. Xu, B.J., Liu, X.Z., Liao, X.X.: Global Asymptotic Stability of High-Order Hopfield Type Neural Networks with Time Delays. Computers and Mathematics with Applications 45, 1729–1737 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Gopalsamy, K.: Stability of Atificial Neural Networks with Impulses. Applied Mathematics and Computation 154, 783–813 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Acka, H., Alassar, R., Covachev, V., et al.: Continuous-time Additive Hopfield-type Neural Networks with Impulses. Journal of Mathematical Analysis and Applications 290, 436–451 (2004)

    Article  MathSciNet  Google Scholar 

  6. Yue, D., Xu, S.F., Liu, Y.Q.: Differential Inequality with Delay and Impulse and Its Applications to Design Robust Control. Control Theory and Applications 16, 519–524 (1999) (in Chinese)

    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

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xu, B., Wang, Q., Shen, Y., Liao, X. (2005). Global Exponential Stability of Delayed Impulsive Hopfield Type Neural Networks. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_27

Download citation

  • DOI: https://doi.org/10.1007/11427391_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Navigation