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Discrete-Time Analogs for a Class of Continuous-Time Recurrent Neural Networks

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2 Author(s)
Pingzhou Liu ; Central Queensland Univ., Rockhampton ; Qing-Long Han

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.

Published in:

IEEE Transactions on Neural Networks  (Volume:18 ,  Issue: 5 )