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Global Asymptotic Stability of Stochastic Neural Networks of Neutral-Type with Discrete and Unbounded Distributed Delays

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2011 International Conference in Electrics, Communication and Automatic Control Proceedings

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Abstract

This chapter is devoted to the investigation of the global asymptotic stability for a class of stochastic neural networks of neutral-type with discrete and unbounded distributed delays. Based on an appropriate Lyapunov-Krasovskii functional and the Itô’s differential formula, a new stability criterion is obtained in terms of the linear matrix inequality (LMI). A numerical example is given to show the effectiveness of this method.

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References

  1. Jiang, Y.H., Yang, B., Wang, J.C., Shao, C.: Delay-dependent stability criterion for delayed Hopfield neural networks. Chaos Soliton Fract 39(5), 2133–2137 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  2. Luo, W.P., Zhong, S.M., Yang, J.: Global exponential stability of impulsive Cohen-Grossberg neural networks with delays. Chaos Soliton Fract 42(2), 1084–1091 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  3. Tan MC. Global exponential stability of delayed fuzzy cellular neural networks. Int J Fuzzy Syst 12(3), 199–207 (2010)

    MathSciNet  Google Scholar 

  4. Chen, L., Zhao, H.Y.: New LMI conditions for global exponential stability of cellular neural networks with delays. Nonlinear Anal-Real 10(1), 287–297 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  5. Park, J.H., Kwon, O.M., Lee, S.M.: LMI optimization approach on stability for delayed neural networks of neutral-type. Appl Math Comput 196(1), 236–244 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  6. Zhu, J., Zhang, Q.L., Yang, C.Y.: Delay-dependent robust stability for Hopfield neural networks of neutral-type. Neurocomputing 72, 2609–2617 (2009)

    Article  Google Scholar 

  7. Rakkiyappan, R., Balasubramaniam, P.: New global exponential stability results for neutral type neural networks with distributed time delays. Neurocomputing 71, 1039–1045 (2008)

    Article  Google Scholar 

  8. Feng, J.E., Xu, S.Y., Zou, Y.: Delay-dependent stability of neutral type neural networks with distributed delays. Neurocomputing 72, 2576–2580 (2009)

    Article  Google Scholar 

  9. Li, X.D.: Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type. Appl Math Comput 2215(12), 4370–4384 (2010)

    Article  Google Scholar 

  10. Sakthivel, R., Samidurai, R., Anthoni, S.M.: Exponential Stability for Stochastic Neural Networks of Neutral Type with Impulsive Effects. Modern Physics Letters B 24(11), 1099–1110 (2010)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. College of Automation, Chongqing University, 400044, Chongqing, China

    Guoquan Liu, Simon X. Yang & Wei Fu

  2. Department of Computer Science, Chongqing Education College, 400067, Chongqing, China

    Wei Feng

Authors
  1. Guoquan Liu
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  2. Simon X. Yang
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  3. Wei Fu
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  4. Wei Feng
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Corresponding author

Correspondence to Guoquan Liu .

Editor information

Editors and Affiliations

  1. Test, Chongqing University of Technology, The Key Laboratory of Manufacture and, Shapingba Three Gorges square Lihai building 14-C1, Chongqing, 400030, China, People's Republic

    Ran Chen

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Liu, G., Yang, S., Fu, W., Feng, W. (2012). Global Asymptotic Stability of Stochastic Neural Networks of Neutral-Type with Discrete and Unbounded Distributed Delays. In: Chen, R. (eds) 2011 International Conference in Electrics, Communication and Automatic Control Proceedings. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8849-2_44

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  • DOI: https://doi.org/10.1007/978-1-4419-8849-2_44

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-8848-5

  • Online ISBN: 978-1-4419-8849-2

  • eBook Packages: EngineeringEngineering (R0)

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