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.
Received: 16 September 2002
Revised: 26 November 2002
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: Project supported by the National High Technology Development Program of China (Grant No 2002AA144110).
Cite this article:
Wang Hong-Xia (王宏霞), He Chen (何晨) Analysis of global exponential stability for a class of bi-directional associative memory networks 2003 Chinese Physics 12 259
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