Outer synchronization and outer H synchronization for coupled fractional-order reaction-diffusion neural networks with multiweights.

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

Abstract

This paper introduces multiple state or spatial-diffusion coupled fractional-order reaction-diffusion neural networks, and discusses the outer synchronization and outer H synchronization problems for these coupled fractional-order reaction-diffusion neural networks (CFRNNs). The Lyapunov functional method, Laplace transform and inequality techniques are utilized to obtain some outer synchronization conditions for CFRNNs. Moreover, some criteria are also provided to make sure the outer H synchronization of CFRNNs. Finally, the derived outer and outer H synchronization conditions are validated on the basis of two numerical examples.

Authors

  • Jin-Liang Wang
  • Si-Yang Wang
    Department of Radiation Oncology, The Fifth Affiliated Hospital of Sun Yat-sen University, Zhuhai, Guangdong, 519001, P. R. China.
  • Yan-Ran Zhu
    Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin 300387, China. Electronic address: zhuzhu000808@163.com.
  • Tingwen Huang