Fast synchronization control and application for encryption-decryption of coupled neural networks with intermittent random disturbance.

Journal: Neural networks : the official journal of the International Neural Network Society
PMID:

Abstract

In this paper, we design a new class of coupled neural networks with stochastically intermittent disturbances, in which the perturbation mechanism is different from other existed random neural networks. It is significant to construct the new models, which can simulate a class of the real neural networks in the disturbed environment, and the fast synchronization control strategies are studied by an adjustable parameter α. A controller with coupling signal is designed to study the exponential synchronization problem, meanwhile, another effective controller with not only adjustable synchronization rate but also with infinite gain avoided is used to investigate the preset-time synchronization. The fast synchronization conditions have been obtained by Lyapunov stability principle, Laplacian matrix and some inequality techniques. A numerical example shows the effectiveness of the control schemes, and the different control factors for synchronization rate are given to discuss the control effect. In particular, the image encryption-decryption based on drive-response networks has been successfully applied.

Authors

  • Xianghui Zhou
    School of Mathematics and Statistics, Anhui Normal University, Wuhu 241000, Anhui, China. Electronic address: zhouxhasd@ahnu.edu.cn.
  • Jinde Cao
  • Zhi-Hong Guan
  • Xin Wang
    Key Laboratory of Bio-based Material Science & Technology (Northeast Forestry University), Ministry of Education, Harbin 150040, China.
  • Fanchao Kong