Saturated impulsive control for synchronization of coupled delayed neural networks.

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

Abstract

The paper focuses on the synchronization problem for a class of coupled neural networks with impulsive control, where the saturation structure of impulse action is fully considered. The coupled neural networks under consideration are subject to mixed delays including transmission delay and coupled delay. The sector condition in virtue of a new constraint of set inclusion is given for a addressed network, based on which a sufficient condition for exponential synchronization problem is obtained by replacing saturation nonlinearity with a dead-zone function. In the framework of saturated impulses, our results relying on the domain of attraction can still achieve the synchronization of coupled delayed neural networks. In addition, the estimating domain of attraction is proposed as large as possible by solving an optimization problem. Finally, a numerical simulation example is presented to demonstrate the effectiveness of the proposed results.

Authors

  • Shuchen Wu
    School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014, PR China.
  • Xiaodi Li
  • Yanhui Ding
    School of Information Science and Engineering, Shandong Normal University, Jinan 250014, PR China. Electronic address: dingyanhui@sdnu.edu.cn.