Skip to main content

Robust Stability Analysis for Delayed BAM Neural Networks

  • Conference paper
Adaptive and Natural Computing Algorithms (ICANNGA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4432))

Included in the following conference series:

  • 1984 Accesses

Abstract

The problem of robust stability for a class of uncertain bidirectional associative memory neural networks with time delays is investigated in this paper. A more general Lyapunov-Krasovskii functional is proposed to derive a less conservative robust stability condition within the framework of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed method.

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 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. Kosko, B.: Bi-directional associative memories. IEEE Trans. Syst. Man Cybernet. 18, 49–60 (1988)

    Article  MathSciNet  Google Scholar 

  2. Gopalsamy, K., He, X.Z.: Delay-independent stability in bidirectional associative memory networks. IEEE Trans. Neural Networks 5(6), 998–1002 (1994)

    Article  Google Scholar 

  3. Cao, J.: Global asymptotic stability of delayed bi-directional associative memory neural networks. Applied Mathematics and Computation 142, 333–339 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Chen, A., Cao, J., Huang, L.: An estimation of upperbound of delays for global asymptotic stability of delayed Hopfield neural networks. IEEE Tran. Circuit Syst. I 49(7), 1028–1032 (2002)

    Article  MathSciNet  Google Scholar 

  5. Li, Y.K.: Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24, 279–285 (2005)

    MATH  MathSciNet  Google Scholar 

  6. Li, C.D., Liao, X.F., Zhang, R.: Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach. Chaos, Solitons and Fractals 24, 1119–1134 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Hunag, X., Cao, J., Huang, D.: LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks. Chaos, Solitons and Fractals 24, 885–898 (2005)

    Article  MathSciNet  Google Scholar 

  8. Liu, Y.R., Wang, Z., Liu, X.H.: Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays. Chaos, Solitons and Fractals 28, 793–803 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  9. Park, J.H.: Robust stability of bidirectional associative memory neural networks with time delays. Physics Letters A 349, 494–499 (2006)

    Article  Google Scholar 

  10. Zuo, Z.Q., Wang, Y.J.: Robust Stability Criteria of Uncertain Fuzzy Systems with Time-varying Delays. In: 2005 IEEE International Conference on Systems, Man and Cybernetics, pp. 1303–1307 (2005)

    Google Scholar 

  11. Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V.: Linear matrix inequalities in systems and control theory. SIAM, Philadelphia (1994)

    Google Scholar 

  12. Hale, J.K., Lunel, S.M.V.: Introduction to functional differential equations. Springer, New York (1993)

    MATH  Google Scholar 

  13. Zuo, Z.Q., Wang, Y.J.: Relaxed LMI condition for output feedback guaranteed cost control of uncertain discrete-time systems. Journal of Optimization Theory and Applications 127, 207–217 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Bartlomiej Beliczynski Andrzej Dzielinski Marcin Iwanowski Bernardete Ribeiro

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Wang, Y., Zuo, Z. (2007). Robust Stability Analysis for Delayed BAM Neural Networks. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4432. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71629-7_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-71629-7_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71590-0

  • Online ISBN: 978-3-540-71629-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics