Advertisement

Applied Mathematics and Mechanics

, Volume 22, Issue 3, pp 320–325 | Cite as

Estimation of attraction domain and exponential convergence rate of continuous feedback associative memory

  • Zhou Dong-ming
  • Cao Jin-de
  • Li Ji-bin
Article
  • 21 Downloads

Abstract

The attraction domain of memory patterns and exponential convergence rate of the network trajectories to memory patterns for continuous feedback associative memory are estimated again by using of some analysis techniques and Liapunov method, some new results are obtained, that can be used for evaluation of fault-tolerance capability and the synthesis procedure for continuous feedback associative memory neural networks.

Key words

continuous feedback associative memory Liapunov method neural network attraction domain exponential convergence rate 

CLC numbers

O175 TP183 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Hopfield J J. Neurons with graded response have collective computational properties like those of two state neurons[J].Proc Natl Acad Sci U S A, 1984,81 (5): 3088–3092.CrossRefGoogle Scholar
  2. [2]
    Michel A N, Farrel J A. Associative memories via artificial neural networks[J].IEEE Contr Syst Mag, 1990,10 (4): 6–17.CrossRefGoogle Scholar
  3. [3]
    Guez A, Protopopolsecu V, Barhen J. On the stability, storage, capacity, and design of nonlinear continuous neural neworks[J].IEEE Trans, 1988, SMC-18 (1): 80–87.Google Scholar
  4. [4]
    Li J H, Michel A N, Porod W. Qualitative analysis and synthesis of a class of neural networks[J].IEEE Trans, 1988, CAS-35 (8): 976–986.zbMATHMathSciNetGoogle Scholar
  5. [5]
    Michel A N, Farrell J A, Porod W. Qualitative theory of neural networks[J].IEEE Trans, 1989, CAS-36 (2): 229–243.zbMATHMathSciNetGoogle Scholar
  6. [6]
    Farrell J A, Michel A N. A synthesis procedure for Hopfield's continuous-time associative memory [J].IEEE Trans, 1992, CAS-37 (7): 877–884.MathSciNetGoogle Scholar
  7. [7]
    Atiya M, Abu-Mostafu Y S. An analog feedback associative memory[J].IEEE Trans, 1993, NN-4 (1): 117–126.Google Scholar
  8. [8]
    Michel A N, Miller R K.Qualitative Analysis of Large-Scale Dynamical Systems[M]. New York: Academic, 1997, 15–57.Google Scholar
  9. [9]
    LIANG Xue-bin, WU Li-de. Estimation of attraction domain and exponential convergence rate of continuous feedback associative memory and its applications[J].Journal of Electronics, 1996,18 (1): 1–6. (in Chinese)Google Scholar
  10. [10]
    LIANG Xue-bin, Wu Li-de. Estimation of domain of attraction and exponential convergence rate of Hopfield's continuous-time associative memory and its applications[J].Acta Electronica Sinica, 1996,24(1): 40–43. (in Chinese)Google Scholar
  11. [11]
    CAO Jin-de. Study on attraction domain and convergence rate of Hopfield associative memory[J].Journal of Electronics, 1999,21(3): 332–336. (in Chinese)Google Scholar
  12. [12]
    CAO Jin-de. Estimation of attraction domain and convergence rate of Hopfield associative memory and its applications[J].Information and Control, 1999,28(7): 488–491. (in Chinese)Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Zhou Dong-ming
    • 1
  • Cao Jin-de
    • 2
  • Li Ji-bin
    • 3
  1. 1.Department of Information and Electronic ScienceYunnan UniversityKunmingP R China
  2. 2.Adult Education CollegeYunnan UniversityKunmingP R China
  3. 3.Center for Nonlinear Science StudiesKunming University of Science and TechnologyKunmingP R China

Personalised recommendations