Region stability analysis and tracking control of memristive recurrent neural network.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

Memristor is firstly postulated by Leon Chua and realized by Hewlett-Packard (HP) laboratory. Research results show that memristor can be used to simulate the synapses of neurons. This paper presents a class of recurrent neural network with HP memristors. Firstly, it shows that memristive recurrent neural network has more compound dynamics than the traditional recurrent neural network by simulations. Then it derives that n dimensional memristive recurrent neural network is composed of [Formula: see text] sub neural networks which do not have a common equilibrium point. By designing the tracking controller, it can make memristive neural network being convergent to the desired sub neural network. At last, two numerical examples are given to verify the validity of our result.

Authors

  • Gang Bao
    Hubei Key Laboratory of Cascaded Hydropower Stations Operation & Control, Electrical Engineering & New Energy, China Three Gorges University, Yichang 443002, China. Electronic address: ctgugangbao@ctgu.edu.cn.
  • Zhigang Zeng
  • Yanjun Shen
    College of Science, China Three Gorges University, Yichang, Hubei 443002, China.