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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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.
Michel A N, Farrel J A. Associative memories via artificial neural networks[J].IEEE Contr Syst Mag, 1990,10 (4): 6–17.
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.
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.
Michel A N, Farrell J A, Porod W. Qualitative theory of neural networks[J].IEEE Trans, 1989, CAS-36 (2): 229–243.
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.
Atiya M, Abu-Mostafu Y S. An analog feedback associative memory[J].IEEE Trans, 1993, NN-4 (1): 117–126.
Michel A N, Miller R K.Qualitative Analysis of Large-Scale Dynamical Systems[M]. New York: Academic, 1997, 15–57.
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)
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)
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)
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)
Author information
Authors and Affiliations
Additional information
Paper from LI Ji-bin, Member of Editorial Committee, AMM
Foundation item: the Natural Science Foundation of Yunnan Province, China (1999F0017M)
Biographies: ZHOU Dong-ming (1963-); CAO Jin-de (1963-)
Rights and permissions
About this article
Cite this article
Dong-ming, Z., Jin-de, C. & Ji-bin, L. Estimation of attraction domain and exponential convergence rate of continuous feedback associative memory. Appl Math Mech 22, 320–325 (2001). https://doi.org/10.1007/BF02437970
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02437970
Key words
- continuous feedback associative memory
- Liapunov method
- neural network
- attraction domain
- exponential convergence rate