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Dynamic behavior of discrete Hopfield neural networks with delay

Ma Run-nian1,3;LEI She-ping2;ZHENG Lian-qing3;XU Jin1

  

  1. (1. Research Inst. of Electronic Engineering, Xidian Univ., Xi’an 710071, China;
    2. Inst. of Water Resource and Hydro-electric Eng., Xi'an Univ. of Tech., Xi'an 710048, China;
    3. The Telecommunication Eng. Inst., Air Force Eng. Univ., Xi'an 710077, China)

  • Received:1900-01-01 Revised:1900-01-01 Online:2003-04-20 Published:2003-04-20

Abstract: The dynamic behavior of discrete Hopfield neural networks with delay is studied. The conditions that the networks with delay are convergent to a limit cycle of length 1 or 2 are given. Also, the conditions that the networks with delay are convergent to a limit cycle of length 2 are achieved. Furthermore, the obtained results are validated by giving examples. These results here provide a theoretical foundation for further analysis and new applications of the discrete Hopfield neural networks with delay.

Key words: discrete Hopfield neural network with delay, stable state, cycle

CLC Number: 

  • TP183