Skip to main content

Global Exponential Stability Analysis for Uncertain Stochastic Neural Networks with Discrete and Distributed Time-Varying Delays

  • Conference paper
Information Computing and Applications (ICICA 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 243))

Included in the following conference series:

  • 2219 Accesses

Abstract

In this paper, the global exponential stability is investigated for a class of stochastic neural networks with both discrete and distributed delays and norm-bounded uncertainties. Based on Lyapunov stability theory and stochastic analysis approaches, delay-dependent criteria are derived to ensure the global, robust, exponential stability of the addressed system in the mean square for all admissible parameter uncertainties. The criteria can be checked easily by the LMI Control Toolbox in Matlab. A numerical example is given to illustrate the effectiveness and improvement over some existing results.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Singh, V.: Robust Stability of Cellular Neural Networks with Delay. IEEE Proc. Control Theory Appl. Linear Matrix Inequality Approach 151, 125–129 (2004)

    Article  Google Scholar 

  2. He, Y., Wu, M., She, J.H.: An Improved Global Asymptotic Stability Criterion for Delayed Cellular Neural Networks. IEEE Trans. Neural Networks 17, 250–252 (2006)

    Article  Google Scholar 

  3. Cho, H.J., Park, J.H.: Novel Delay-Dependent Robust Stability Criterion of Delayed Cellular Neural Networks. Chaos, Solitons and Fractals 32, 1194–1200 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Zhang, Q., Wei, X.P., Xu, J.: Delay-Dependent Global Stability Condition for Delayed Hopfield Neural Networks. Nonlinear Analysis: Real World Application 8, 997–1002 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  5. Zhu, E.W.: Asymptotical Mean Square Stability of Cellular Neural Networks with Random Delay. Journal of Harbin Institute of Technology 3, 409–413 (2010)

    Google Scholar 

  6. Wei, L.: Global Exponential Stability of Fuzzy Cellular Neural Networks with Constant Delays. Journal of Communication and Computer 7, 30–34 (2010)

    Google Scholar 

  7. Shao, J.: A New Result on Global Exponential Robust Stability of Neural Networks with Time-Varying Delays. Journal of Control Theory and Applications 7, 315–320 (2009)

    Article  MathSciNet  Google Scholar 

  8. Qing, Z.: Global Exponential Stability of Cohen-Grossberg Neural Networks with Time-Varying Delays and Impulses. Journal of Shanghai University (English Edition) 3, 255–259 (2009)

    MathSciNet  MATH  Google Scholar 

  9. Jing, Y.-W., Zhang, R., Wang, Z.-S.: Global Exponential Stability of Neural Network Models with Time-Varying Delay for Quadratic Programming Problem. Kongzhi yu Juece/Control and Decision 25(6), 921–924+928 (2010)

    Google Scholar 

  10. Qiu, F., Cui, B.-T.: A Delay-Decomposition Approach for Stability of Neural Network with Time-Varying Delay. Chinese Physics B 18(12), 5203–5211 (2009)

    Article  MathSciNet  Google Scholar 

  11. Huang, Z., Li, X., Mohamad, S., Lu, Z.: Robust Stability Analysis of Static Neural Network with S-type Distributed Delays. Applied Mathematical Modelling 33(2), 760–769 (2009)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wei, G., Hui, Z. (2011). Global Exponential Stability Analysis for Uncertain Stochastic Neural Networks with Discrete and Distributed Time-Varying Delays. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27503-6_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-27503-6_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27502-9

  • Online ISBN: 978-3-642-27503-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics