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Passivity Analysis of BAM NNs with Mixed Time Delays

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Advanced Intelligent Computing Theories and Applications (ICIC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9227))

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Abstract

This paper is concerned with a delay-differential equation modeling a bidirectional associative memory neural networks (BAM NNs) with mixed time delays. By using the inequality techniques, a Lyapunov–Krasovskii functional candidate is introduced to reach the novel sufficient conditions that warrant the passivity of delayed BAM NNs. The novel passivity criterion is proposed in terms of inequalities, which can be checked easily. A numerical example is provided to demonstrate the effectiveness of the proposed results.

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References

  1. Xu, S., Lam, J., Ho, D.: A new LMI condition for delayed dependent asymptotic stability of delayed Hopfield neural networks. IEEE Trans. Neural Netw. 52, 230–234 (2006)

    Google Scholar 

  2. He, Y., Liu, G., Rees, D.: New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Trans. Neural Netw. 18, 310–314 (2007)

    Article  Google Scholar 

  3. Kwon, O.M., Lee, S.M., Park, J., Cha, E.J.: New approaches on stability criteria for neural networks with interval time-varying delays. Appl. Math. Comput. 218, 9953–9964 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  4. Sun, J., Chen, J.: Stability analysis of static recurrent neural networks with interval time-varying delay. Appl. Math. Comput. 221, 111–120 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  5. Kwon, O., Park, J., Lee, S., Cha, E.: Analysis on delay-dependent stability for neural networks with time-varying delays. Neurocomputing 103, 114–120 (2013)

    Article  MATH  Google Scholar 

  6. Li, T., Yang, X., Yang, P., Fei, S.: New delay-variation-dependent stability for neural networks with time-varying delay. Neurocomputing 101, 361–369 (2013)

    Article  Google Scholar 

  7. Yang, R., Zhang, Z., Shi, P.: Exponential stability on stochastic neural networks with discrete interval and distributed delays. IEEE Trans. Neural Netw. 2, 169–175 (2010)

    Article  Google Scholar 

  8. Zeng, H., He, Y., Wu, M.: Complete delay-decomposing approach to asymptotic stability for neural networks with time-varying delays. IEEE Trans. Neural Netw. 22, 806–812 (2011)

    Article  Google Scholar 

  9. Calcev, G.: Passivity approach to fuzzy control systems. Automatica 33, 339–344 (1998)

    Article  MathSciNet  Google Scholar 

  10. Xie, L., Fu, M., Li, H.: Passivity and passification for uncertain signal processing systems. IEEE Trans. Signal Process. 46, 2394–2403 (1998)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  13. Zhao, H.: Global stability of bidirectional associative memory neural networks with distributed delays. Phys. Lett. A 297, 182–190 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  14. Zhou, Q., Wan, L.: Global robust asymptotic stability analysis of BAM neural networks with time delay and impulse: An LMI approach. Appl. Math. Comput. 216, 1538–1545 (2010)

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  16. Willems, J.C.: Dissipative dynamical systems part I: General theory. Arch. Rational Mech. Anal. 45, 321–351 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  17. Bevelevich, V.: Classical Network Synthesis. Van Nostrand, New York (1968)

    Google Scholar 

  18. Hill, D.J., Moylan, P.J.: Stability results for nonlinear feedback systems. Automatica 13, 377–382 (1977)

    Article  Google Scholar 

  19. Chua, L.O.: Passivity and complexity. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46, 71–82 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  20. Li, C., Liao, X.: Passivity analysis of neural networks with time delay. IEEE Trans. Circuits Syst. II 52, 471–475 (2005)

    Article  Google Scholar 

  21. Wu, Z., Shi, P., Su, H., Chu, J.: Passivity analysis for discrete-time stochastic Markovian jump neural networks with mixed time delays. IEEE Trans. Neural Networks 22, 1566–1575 (2011)

    Article  Google Scholar 

Download references

Acknowledgement

This work is partially supported by the Natural Science Foundation of Shannxi Province under Grant No. 2015JM1015, Doctor Introduced Project of Xianyang Normal University under Grant No. 12XSYK008 and University Innovation and Entrepreneurship Training Program Project of Xianyang Normal University under Grant No.048.

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Authors and Affiliations

  1. Institute of Nonlinear Science, Xianyang Normal University, Xianyang, 712000, People’s Republic of China

    Weiyuan Zhang

  2. Institute of Mathematics and Applied Mathematics, Xianyang Normal University, Xianyang, 712000, People’s Republic of China

    Yajie Wang

Authors
  1. Weiyuan Zhang
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  2. Yajie Wang
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Corresponding author

Correspondence to Weiyuan Zhang .

Editor information

Editors and Affiliations

  1. Tongji University, Shanghai, China

    De-Shuang Huang

  2. Incheon, Korea (Republic of)

    Kyungsook Han

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Zhang, W., Wang, Y. (2015). Passivity Analysis of BAM NNs with Mixed Time Delays. In: Huang, DS., Han, K. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2015. Lecture Notes in Computer Science(), vol 9227. Springer, Cham. https://doi.org/10.1007/978-3-319-22053-6_15

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  • DOI: https://doi.org/10.1007/978-3-319-22053-6_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22052-9

  • Online ISBN: 978-3-319-22053-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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