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Stability of Stochastic Cohen-Grossberg Neural Networks

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Advances in Neural Networks – ISNN 2004 (ISNN 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3173))

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Abstract

Almost sure stability and instability of stochastic Cohen–Grossberg neural networks are addressed in this paper. Our results can be used as theoretic guidance to stabilize neural networks in practical applications when stochastic noise is take into consideration.

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References

  1. Blythe, S., Mao, X., Liao, X.: Stability of stochastic delay neural networks. J. the Franklin Institute 338, 481–495 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  2. Carpenter, G.: Neural network Models for pattern recognition and associative memory. Neural Networks 2, 243–257 (1989)

    Article  Google Scholar 

  3. Cohen, M., Grossberg, S.: Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man. Cybern. SMC 13, 815–825 (1983)

    MATH  MathSciNet  Google Scholar 

  4. Forti, M.: On global asymptotic stability of a class of nonlinear systems arising in neural network theory, J. Differential Equations 113, 246–264 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  5. Haykin, S.: Neural Networks. Prentice-Hall, NJ (1994)

    MATH  Google Scholar 

  6. Hopfield, J.: Neurons with graded response have collective computational properties like those of two-stage neurons. Proc. Nat. Acad. Sci., U.S.A. 81, 3088–3092 (1984)

    Article  Google Scholar 

  7. Liao, X., Chen, G., Sanchez, E.: Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Networks 15, 855–866 (2002)

    Article  Google Scholar 

  8. Liao, X., Mao, X.: Exponential stability and instability of stochastic neural networks. Stochast. Anal. Appl. 14, 165–185 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  9. Liao, X., Mao, X.: Stability of stochastic neural networks. Neural, Parallel Sci. Comput. 4, 114–205 (1996)

    MathSciNet  Google Scholar 

  10. Mao, X.: Stochastic Differential Equations & Applications. Horwood Publishing, Chichester (1997)

    MATH  Google Scholar 

  11. Tank, D., Hopfield, J.: Simple neural optimization networks: An A/D converter, signal decision circuit and a linear programming circult. IEEE Trans. Circuits Systems 33, 533–541 (1986)

    Article  Google Scholar 

  12. Wang, L., Zou, X.: Harmless delays in Cohen-Grossberg neural networks. Physica D 170, 162–173 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  13. Wang, L., Zou, X.: Exponential stability of Cohen–Grossberg neural networks. Neural Networks 15, 415–422 (2002)

    Article  Google Scholar 

  14. Wang, J.: Recurrent neural networks for computing pseudoinverses of rank-deficient matrices. SIAM J. Sci. Comput. 18, 1479–1493 (1997)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada, L8S 4K1

    Lin Wang

Authors
  1. Lin Wang
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Editor information

Editors and Affiliations

  1. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, China

    Fu-Liang Yin

  2. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  3. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, Liaoning, China

    Chengan Guo

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© 2004 Springer-Verlag Berlin Heidelberg

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Wang, L. (2004). Stability of Stochastic Cohen-Grossberg Neural Networks. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_15

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  • DOI: https://doi.org/10.1007/978-3-540-28647-9_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22841-7

  • Online ISBN: 978-3-540-28647-9

  • eBook Packages: Springer Book Archive

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