Discrete-time analogs for a class of continuous-time recurrent neural networks

作者：Liu Pingzhou^*; Han Qing Long

来源：IEEE Transactions on Neural Networks, 2007, 18(5): 1343-1355.

DOI：10.1109/TNN.2007.891593

• delays
• discrete-time analogs
• recurrent neural networks
• stability

This paper is concerned with the problem of local and global asymptotic stability for a class of discrete-time recurrent neural networks, which provide discrete-time analogs to their continuous-time counterparts, i.e., continuous-time recurrent neural networks with distributed delay. Some stability criteria, which include some existing results as their special cases, are derived. A discussion about the dynamical consistence of discrete-time neural networks versus their continuous-time counterparts is provided. An unconventional finite difference method is proposed and an example is also given to show the effectiveness of the method.

• 出版日期2007-9