Passivity analysis for memristor-based recurrent neural networks with discrete and distributed delays.

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

Abstract

In this paper, based on the knowledge of memristor and recurrent neural networks (RNNs), the model of the memristor-based RNNs with discrete and distributed delays is established. By constructing proper Lyapunov functionals and using inequality technique, several sufficient conditions are given to ensure the passivity of the memristor-based RNNs with discrete and distributed delays in the sense of Filippov solutions. The passivity conditions here are presented in terms of linear matrix inequalities, which can be easily solved by using Matlab Tools. In addition, the results of this paper complement and extend the earlier publications. Finally, numerical simulations are employed to illustrate the effectiveness of the obtained results.

Authors

  • Guodong Zhang
    College of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China. zgdhbnu@163.com
  • Yi Shen
  • Quan Yin
  • Junwei Sun