Global exponential stability for switched memristive neural networks with time-varying delays.

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

Abstract

This paper considers the problem of exponential stability for switched memristive neural networks (MNNs) with time-varying delays. Different from most of the existing papers, we model a memristor as a continuous system, and view switched MNNs as switched neural networks with uncertain time-varying parameters. Based on average dwell time technique, mode-dependent average dwell time technique and multiple Lyapunov-Krasovskii functional approach, two conditions are derived to design the switching signal and guarantee the exponential stability of the considered neural networks, which are delay-dependent and formulated by linear matrix inequalities (LMIs). Finally, the effectiveness of the theoretical results is demonstrated by two numerical examples.

Authors

  • Youming Xin
    College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China; School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China.
  • Yuxia Li
    Beijing Institute of Health Administration and Medical Information, Beijing 100850, China.
  • Zunshui Cheng
    School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China.
  • Xia Huang
    College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.