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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 2))

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Abstract

The local asymptotical stability of bi-directional associative memory (BAM) neural networks with generalized saturation output functions is studied. By adopting the method of decomposing the state space to sub-regions and by using the technique of matrix norm, some delay-independent stability algebraic criteria are obtained, and the attractive domains are estimated. The results obtained in this paper need only to compute the norm of some matrices constructed by the parameters of the neural networks which are very convenient to verify in system synthesis.

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References

  1. Kosko, B.: Adaptive Bi-directional Associative Memories. Appl. Opt. 26(23), 4847–4860 (1987)

    Article  Google Scholar 

  2. Koskok, B.: Bi-directional Associative Mmemories. IEEE Trans. on Man, Systems and Cybernetics 18, 49–59 (1988)

    Article  Google Scholar 

  3. Liao, W., Liao, X.: Stability Analysis of Cellular Neural Networks. Control Theroy and Applications 20(1), 89–92 (2003)

    Google Scholar 

  4. Michel, A.N., Liu, D.: Qualitative Analysis and Synthesis of Recurrent Neural Networks. Marcel Dekker, Inc (2002)

    Google Scholar 

  5. Cao, J.: Stability Analysis of Discrete Hopfield Bi-directional Associated Memory Neural Networks. Acta Automatica sinica 25(5), 606–612 (1999)

    MathSciNet  Google Scholar 

  6. Liao, X., Wu, Z., Qin, Z.: Global Attraction Analysis of Delayed BAM Neural Networks. Computer Researches and Development 37(7), 833–837 (2000)

    Google Scholar 

  7. Shen, Y., Jiang, M., Liao, X.: Global Exponential Stability of Cohen-Grossberg Neural Networks with Time-varying Delays and Continuously Distributed delays. In: Wang, J., Liao, X.-F., Yi, Z. (eds.) ISNN 2005. LNCS, vol. 3496, pp. 156–161. Springer, Heidelberg (2005)

    Google Scholar 

  8. Liao, X.: Stability Theory and Applications on Power Systems. National Defence Industry Press, Beijing (2000)

    Google Scholar 

  9. Hale, J.: Theory of Functional Differential Equations. Springer, New York (1977)

    MATH  Google Scholar 

  10. Qin, Y., Liu, Y., Wang, L.: Motion Stability of Dynamical Systems with Time-Delays, 2nd edn. Science Press, Beijing (1989)

    Google Scholar 

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De-Shuang Huang Laurent Heutte Marco Loog

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© 2007 Springer-Verlag Berlin Heidelberg

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Chen, J., Xu, J. (2007). Locally Asymptotical Behaviors of Delayed BAM Neural Networks with Generalized Saturation Output Functions. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2007. Communications in Computer and Information Science, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74282-1_3

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  • DOI: https://doi.org/10.1007/978-3-540-74282-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74281-4

  • Online ISBN: 978-3-540-74282-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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