Skip to main content
SpringerLink
Log in

Novel LMI Stability Criteria for Interval Hopfield Neural Networks with Time Delays

  • Conference paper
Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

Included in the following conference series:

  • 1785 Accesses

Abstract

In this paper, we consider the uniqueness and global robust stability of the equilibrium point of the interval Hopfield-type delayed neural networks. A new criteria is derived by using linear matrix inequality and Lyapunov functional and also a numerical example is given to show the effectiveness of the present results.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hopfield, J.J.: Neural Networks and Physical Systems with Emergent Collective Computational Abilities. Proc. Nat. Acad. Sci. USA 79, 2554–2558 (1982)

    Article  MathSciNet  Google Scholar 

  2. Hopfield, J.J.: Neural Networks with Graded Response Have Collective Computational Properties Like Those of Two-stage Neurons. Proc. Nat. Acad. Sci. USA 81, 3088–3092 (1984)

    Article  Google Scholar 

  3. Guo, S., Huang, L.: Stability Analysis of Cohen-Grossberg Neural Networks. IEEE Tran. Neural Netw. 17, 106–117 (2006)

    Article  Google Scholar 

  4. Chen, T., Rong, L.: Delay-independent Stability Analysis of Cohen-Grossberg Neural Networks. Phys. Lett. A 317, 436–449 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  5. Liao, X., Yu, J.: Robust Stability for Interval Hopfield Neural Networks with Time Delay. IEEE Trans. Neural Networks 9, 1042–1046 (1998)

    Article  Google Scholar 

  6. Cao, J., Huang, D., Qu, Y.: Global Robust Stability of Delayed Recurrent Neural Networks. Chaos, Solutions and Fractals 23, 221–229 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Liao, X., Wang, J., Cao, J.: Global and Robust Stability of Interval Hopfield Neural Networks with Time-varying Delays. Int. J. Neural. Syst 13, 171–182 (2004)

    Article  Google Scholar 

  8. Liao, X., Wang, K., Wu, Z., Chen, G.: Novel Robust Stability Criteria for Interval-delayed Hopfield Neural Networks. IEEE Trans. Circuits Syst. I 48, 1355–1359 (2001)

    Article  MATH  Google Scholar 

  9. Shen, T., Zhang, Y.: Improved Global Robust Stabilty Criteria for Delayed Neural Networks. IEEE Trans. Circuits Syst. II, Exp. Brief 54, 715–719 (2007)

    Article  MathSciNet  Google Scholar 

  10. Arik, S.: Global Robust Stability of Delayed Neural Networks. IEEE Trans. Cricuits Syst. I, fundam. Theory App. 50, 156–160 (2003)

    Article  MathSciNet  Google Scholar 

  11. Cao, J., Wang, J.: Global Asymptotic and Robust Stability of Recurrent Neural Networks with Time Delay. IEEE Trans. I 52, 417–426 (2005)

    Article  MathSciNet  Google Scholar 

  12. Ozcan, N., Arik, S.: Global Robust Stability Analysis of Neural Networks with Multiple Time Delays. IEEE Trans. I 53, 166–176 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Xiaolin Li & Jia Jia

Authors
  1. Xiaolin Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jia Jia
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, X., Jia, J. (2010). Novel LMI Stability Criteria for Interval Hopfield Neural Networks with Time Delays. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_67

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13278-0_67

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation