Global stabilization analysis of inertial memristive recurrent neural networks with discrete and distributed delays.

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

Abstract

This paper deals with the stabilization problem of memristive recurrent neural networks with inertial items, discrete delays, bounded and unbounded distributed delays. First, for inertial memristive recurrent neural networks (IMRNNs) with second-order derivatives of states, an appropriate variable substitution method is invoked to transfer IMRNNs into a first-order differential form. Then, based on nonsmooth analysis theory, several algebraic criteria are established for the global stabilizability of IMRNNs under proposed feedback control, where the cases with both bounded and unbounded distributed delays are successfully addressed. Finally, the theoretical results are illustrated via the numerical simulations.

Authors

  • Leimin Wang
    School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China.
  • Zhigang Zeng
  • Ming-Feng Ge
    School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China. Electronic address: fmgabc@163.com.
  • Junhao Hu
    College of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China. Electronic address: junhaohu74@163.com.