Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (3): 320-325.

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ESTIMATION OF ATTRACTION DOMAIN AND EXPONENTIAL CONVERGENCE RATE OF CONTINUOUS FEEDBACK ASSOCIATIVE MEMORY

ZHOU Dong-ming1, CAO Jin-de2, LI Ji-bin3   

  1. 1. Department of Information and Electronic Science, Yunnan University, Kunming 650091, P. R. China;
    2. Adult Education College, Yunnan University, Kunming 650091, P. R. China;
    3. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, P. R. China
  • Received:1999-11-01 Revised:2000-11-19 Online:2001-03-18 Published:2001-03-18
  • Supported by:
    the Natural Science Foundation of Yunnan Province, China(1999F0017M)

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 procedures for continuous feedback associative memory neural networks.

Key words: continuous feedback associative memory, Liapunov method, neural network, attraction domain, exponential convergence rate

2010 MSC Number: 

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