Generalized pinning synchronization of delayed Cohen-Grossberg neural networks with discontinuous activations.

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

Abstract

In this article, generalized pinning synchronization problem is investigated for a class of Cohen-Grossberg neural networks with discontinuous neuron activations and mixed delays. By designing generalized pinning state-feedback and adaptive controllers, several criteria for global exponential synchronization and global asymptotical synchronization of the drive-response based system are obtained in view of non-smooth analysis theory with generalized Lyapunov functional method, in which first pinning the neurons with very small self-inhibition and small amplification functions is pointed out. Some numerical examples are given to illustrate the feasibility of the obtained results.

Authors

  • Dongshu Wang
    School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, People's Republic of China.
  • Lihong Huang
    Department of Information Technology, Hunan Women's University, Changsha, Hunan 410002, PR China; College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China. Electronic address: lhhuang@hnu.edu.cn.
  • Longkun Tang
    School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, People's Republic of China.
  • Jinsen Zhuang
    Fujian Province University Key Laboratory of Computation Science, School of Mathematical Sciences, Huaqiao University, 362021, Quanzhou, Fujian, PR China. Electronic address: zzjinsen@hqu.edu.cn.