Centralized and decentralized global outer-synchronization of asymmetric recurrent time-varying neural network by data-sampling.

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

Abstract

In this paper, we discuss outer-synchronization of the asymmetrically connected recurrent time-varying neural networks. By using both centralized and decentralized discretization data sampling principles, we derive several sufficient conditions based on three vector norms to guarantee that the difference of any two trajectories starting from different initial values of the neural network converges to zero. The lower bounds of the common time intervals between data samples in centralized and decentralized principles are proved to be positive, which guarantees exclusion of Zeno behavior. A numerical example is provided to illustrate the efficiency of the theoretical results.

Authors

  • Wenlian Lu
    Centre for Computational Systems Biology, Fudan University, People's Republic of China; School of Mathematical Sciences, Fudan University, People's Republic of China. Electronic address: wenlian@fudan.edu.cn.
  • Ren Zheng
    School of Mathematics, Fudan University, 200433, Shanghai, China. Electronic address: 12110180051@fudan.edu.cn.
  • Tianping Chen
    School of Computer Sciences, Fudan University, People's Republic of China. Electronic address: tchen@fudan.edu.cn.