Skip to main content
SpringerLink
Log in

Stability and stabilization on generalized delay stochastic neural network with distributed parameter

  • Published:
Wuhan University Journal of Natural Sciences

Abstract

Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Itô differential formula to the constructed average function with respect to spatial variables along the system considered under the integral operator. Some sufficient conditions are given.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cohen M A, Grossberg S. Absolute Stability and Global Pattern Formation and Parallel Memory Storage by Competitive Neural Networks.IEEE Trans on System Man and Cybem, 1983,13(5):815–826.

    MATH  MathSciNet  Google Scholar 

  2. Hopfield J J, Tank D W. Computing with Neural Circuits: A Model.Science, 1986,233:625–633.

    Article  Google Scholar 

  3. Hu S G, Liao X X, Mao X R. Stochastic Hopfield Neural Networks.J of Physics A, 2003,36:2335–2349.

    MathSciNet  Google Scholar 

  4. Liao X X, Mao X. Exponential Stability and Instability of Stochastic Neural Networks.Stochastic Analysis and Applications, 1996,14(2):165–185.

    Article  MATH  MathSciNet  Google Scholar 

  5. Blythe S, Mao X R, Liao X X. Stability of Stochastic Delay Neural Networks.J Kranklin Inst, 2001,338(4):481–495.

    Article  MATH  MathSciNet  Google Scholar 

  6. He Q M, Kang L. Existence and Stability of Global Solution for Generalized Hopfield Neural Network System.Neural, Parallel & Scientific Computations, 1994,2:165–176.

    MATH  MathSciNet  Google Scholar 

  7. Liao X X, Yang S Z, Cheng S J,et al. Stability of General Neural Networks with Reaction-Diffusion.Science in China (F), 2001,44(5):389–395.

    Google Scholar 

  8. Luo Q, Deng F Q, Bao J D,et al. Stabilization of Stochastic Hopfield Neural Network with Distributed Parameters.Science in China (F), 2004,47(6):752–762.

    Article  MATH  MathSciNet  Google Scholar 

  9. Liptser R S, Shiryaev A N.Statistics of Random Processes, I–II. New York: Springer-Verlag, 1977.

    MATH  Google Scholar 

  10. Mao X.Exponential Stability of Stochastic Differential Equations. New York: Marcel Dekker Inc, 1994.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Science, Wuhan University of Science and Technology, 430081, Wuhan, Hubei, China

    Luo Qi

  2. Institute of Automatic Science and Control Engineering, South China University of Technology, 510640, Guangzhou Guangdong, China

    Deng Fei-qi

  3. Department of Mathematics, Inner Mongolia Normal University, 010022, Huhhot, Inner, Mongolia, China

    Bao Jun-dong

Authors
  1. Luo Qi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Deng Fei-qi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bao Jun-dong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Luo Qi.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (60374023), Guangdong Province Natural Science Foundation (011629)

Biography: Luo Qi (1958-), male, Ph. D., research direction: hybrid systems, nonlinear control systems, and robust control.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qi, L., Fei-qi, D. & Jun-dong, B. Stability and stabilization on generalized delay stochastic neural network with distributed parameter. Wuhan Univ. J. Nat. Sci. 10, 823–827 (2005). https://doi.org/10.1007/BF02832420

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02832420

Key words

CLC number

Search

Navigation