Robust Stability Analysis for Delayed BAM Neural Networks

  • Yijing Wang
  • Zhiqiang Zuo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4432)


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.


Linear Matrix Inequality Model Transformation Robust Stability Global Asymptotic Stability Bidirectional Associative Memory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Kosko, B.: Bi-directional associative memories. IEEE Trans. Syst. Man Cybernet. 18, 49–60 (1988)CrossRefMathSciNetGoogle Scholar
  2. 2.
    Gopalsamy, K., He, X.Z.: Delay-independent stability in bidirectional associative memory networks. IEEE Trans. Neural Networks 5(6), 998–1002 (1994)CrossRefGoogle Scholar
  3. 3.
    Cao, J.: Global asymptotic stability of delayed bi-directional associative memory neural networks. Applied Mathematics and Computation 142, 333–339 (2003)MATHCrossRefMathSciNetGoogle Scholar
  4. 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)CrossRefMathSciNetGoogle Scholar
  5. 5.
    Li, Y.K.: Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24, 279–285 (2005)MATHMathSciNetGoogle Scholar
  6. 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)MATHCrossRefMathSciNetGoogle Scholar
  7. 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)CrossRefMathSciNetGoogle Scholar
  8. 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)MATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Park, J.H.: Robust stability of bidirectional associative memory neural networks with time delays. Physics Letters A 349, 494–499 (2006)CrossRefGoogle Scholar
  10. 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. 11.
    Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V.: Linear matrix inequalities in systems and control theory. SIAM, Philadelphia (1994)Google Scholar
  12. 12.
    Hale, J.K., Lunel, S.M.V.: Introduction to functional differential equations. Springer, New York (1993)MATHGoogle Scholar
  13. 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)CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Yijing Wang
    • 1
  • Zhiqiang Zuo
    • 1
  1. 1.School of Electrical Engineering & Automation, Tianjin University, Tianjin, 300072China

Personalised recommendations