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Multistability of Recurrent Neural Networks With Time-varying Delays and the Piecewise Linear Activation Function

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3 Author(s)
Zhigang Zeng ; Department of Control Science and Engineering, Huazhong University of Science and Technology, Image Processing and Intelligent Control Key Laboratory of Education Ministry of China, Wuhan, Hubei, Wuhan, Hubei, ChinaChina ; Tingwen Huang ; Wei Xing Zheng

In this brief, stability of multiple equilibria of recurrent neural networks with time-varying delays and the piecewise linear activation function is studied. A sufficient condition is obtained to ensure that n-neuron recurrent neural networks can have (4k-1)n equilibrium points and (2k)n of them are locally exponentially stable. This condition improves and extends the existing stability results in the literature. Simulation results are also discussed in one illustrative example.

Published in:

IEEE Transactions on Neural Networks  (Volume:21 ,  Issue: 8 )