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Improved Global Exponential Stability Criterion for BAM Neural Networks with Time-Varying Delays

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Advances in Neural Networks - ISNN 2008 (ISNN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5263))

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Abstract

In this paper, the global exponential stability analysis is investigated for a class of bidirectional associative memory (BAM) neural networks with time-varying delays. By using Lyapunov functional method, and by reserving the useful terms when estimating the upper bound of the derivative of Lyapunov functional, the less conservative exponential stability criterion is derived in terms of linear matrix inequality (LMI). Numerical example is presented to show the effectiveness and the less conservativeness of the proposed method.

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References

  1. Kosko, B.: Adaptive Bi-directional Sssociative Memories. Appl. Opt. 26, 4947–4960 (1987)

    Article  Google Scholar 

  2. Kosko, B.: Bi-directional Associative Memories. IEEE trans. Syst. Man Cybernet 18, 49–60 (1988)

    Article  MathSciNet  Google Scholar 

  3. Cao, J., Wang, J.: Exponential Stability and Periodic Oscillatory Solution in BAM Networks with Delays. IEEE Trans. Neural Netw. 13, 457–463 (2002)

    Article  Google Scholar 

  4. Jiang, M., Shen, Y., Liao, X.: Global Stability of Periodic Solution for Bidirectional Associative Memory Neural Networks with Varying-time Delay. Appl. Math. Comput. 182, 509–520 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Lou, X., Cui, B.: On the Global Robust Asymptotic Stability of BAM Neural Networks with Time-varying Delays. Neurocomputing 70, 273–279 (2006)

    Article  Google Scholar 

  6. Park, J.H.: A Novel Criterion for Global Asymptotic Stability of BAM Neural Networks with Time Delays. Chaos, Solitons & Fractals 29, 446–453 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  7. Zhang, Q., Wei, X.P., Xu, J.: Delay-dependent Exponential Stability of Cellular Neural Networks with Time-vaying Delays. Chaos, Solitons & Fractals 23, 1363–1369 (2005)

    MATH  MathSciNet  Google Scholar 

  8. He, Y., Wu, M., She, J.H.: Delay-dependent Exponential Stability of Delayed Neural Networks with Time-varying Delay. IEEE Trans. Circuits Syst. -II, Exp. Briefs 53, 553–557 (2006)

    Article  Google Scholar 

  9. Gau, R.S., Lien, C.H., Hsieh, J.G.: Global Exponential Stability for Uncertain Cellular Neural Networks with Multiple Time-vaying Delays via LMI Approach. Chaos, Solitons & Fractals 32, 1258–1267 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  10. Cao, J., Dong, M.: Exponential Stability of Delayed Bi-directional Associative Memory Networks. Appl. Math. Comput. 135, 105–112 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  11. Huang, X., Cao, J., Huang, D.S.: LMI-based Approach for Delay-dependent Exponential Stability Analysis of BAM Neural Networks. Chaos, Solitons & Fractals 24, 885–898 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  12. Ho, D.C., Liang, J., Lam, J.: Global Exponential Stability of Impulsive High-order BAM Neural Networks with Time-varying Delays. Neural Networks 19, 1581–1590 (2006)

    Article  MATH  Google Scholar 

  13. Park, J.H., Lee, S.M., Kwon, O.M.: On Exponential Stability of Bidirectional Associative Memory Neural Networks with Time-varying Delays. Chaos, Solitons & Fractals (2007), doi:10.1016/j.chaos.2007.05.003

    Google Scholar 

  14. Gu, K., Kharitonov, V.L., Chen, J.: Stability of Time-delay Systems. Birkhäuser, Boston (2003)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Henan Institute of Science and Technology,  , Xinxiang, 453003, China

    Yonggang Chen

  2. Department of Basic Courses, Henan Mechanical and Electrical Engineering College,  , Xinxiang, 453002, China

    Tiheng Qin

Authors
  1. Yonggang Chen
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  2. Tiheng Qin
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Technology, Tsinghu University, 100084, Beijing, China

    Fuchun Sun

  2. Institute TAMS (Technical Aspects of Multimodal Systems), department of Informatics, University of Hamburg, Vogt-Koelln-Straße 30, 22527, Hamburg, Germany

    Jianwei Zhang

  3. Intel China Research Center, 8/F, Peking University, Department of Machine Intelligence, 100871, Beijing, China

    Ying Tan

  4. Department of Mathematics, Southeast University, 210096, Nanjing, China

    Jinde Cao

  5. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

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© 2008 Springer-Verlag Berlin Heidelberg

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Chen, Y., Qin, T. (2008). Improved Global Exponential Stability Criterion for BAM Neural Networks with Time-Varying Delays. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87732-5_15

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  • DOI: https://doi.org/10.1007/978-3-540-87732-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87731-8

  • Online ISBN: 978-3-540-87732-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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