中国物理B ›› 2003, Vol. 12 ›› Issue (3): 259-263.doi: 10.1088/1009-1963/12/3/303

• GENERAL • 上一篇    下一篇

Analysis of global exponential stability for a class of bi-directional associative memory networks

王宏霞, 何晨   

  1. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200030, China
  • 收稿日期:2002-09-16 修回日期:2002-11-26 出版日期:2005-03-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National High Technology Development Program of China (Grant No 2002AA144110).

Analysis of global exponential stability for a class of bi-directional associative memory networks

Wang Hong-Xia (王宏霞), He Chen (何晨)   

  1. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2002-09-16 Revised:2002-11-26 Online:2005-03-16 Published:2005-03-16
  • Supported by:
    Project supported by the National High Technology Development Program of China (Grant No 2002AA144110).

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摘要： In real-time applications of bi-directional associative memory (BAM) networks, a global exponentially stable equilibrium is highly desired. The existence, uniqueness and global exponential stability for a class of BAM networks are studied in this paper, the signal function of neurons is assumed to be piece-wise linear from the engineering point of view. A very concise condition for the equilibrium of such a network being globally exponentially stable is derived, which makes the practical design of this kind of networks an easy job.

Abstract: In real-time applications of bi-directional associative memory (BAM) networks, a global exponentially stable equilibrium is highly desired. The existence, uniqueness and global exponential stability for a class of BAM networks are studied in this paper, the signal function of neurons is assumed to be piece-wise linear from the engineering point of view. A very concise condition for the equilibrium of such a network being globally exponentially stable is derived, which makes the practical design of this kind of networks an easy job.

Key words: BAM network, global exponential stability, equilibrium

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a