The stability of memristive multidirectional associative memory neural networks with time-varying delays in the leakage terms via sampled-data control.

Journal: PloS one
PMID: 30248118

Abstract

In this paper, we propose a new model of memristive multidirectional associative memory neural networks, which concludes the time-varying delays in leakage terms via sampled-data control. We use the input delay method to turn the sampling system into a continuous time-delaying system. Then we analyze the exponential stability and asymptotic stability of the equilibrium points for this model. By constructing a suitable Lyapunov function, using the Lyapunov stability theorem and some inequality techniques, some sufficient criteria for ensuring the stability of equilibrium points are obtained. Finally, numerical examples are given to demonstrate the effectiveness of our results.

Authors

  • Weiping Wang
    Department of Chemical Engineering, School of Chemistry and Chemical Engineering, Nanjing University.
  • Xin Yu
    eSep Inc., Keihanna Open Innovation Center @ Kyoto (KICK), Annex 320, 7-5-1, Seikadai, Seika-cho, Soraku-gun, Kyoto 619-0238, Japan.
  • Xiong Luo
    School of Computer and Communication Engineering, University of Science and Technology Beijing (USTB), Beijing 100083, China.
  • Long Wang
  • Lixiang Li
    Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China.
  • Jürgen Kurths
    Department of Physics, Nonlinear Dynamics, Cardiovascular Physics, Humboldt-Universität zu Berlin, Germany Potsdam Institute for Climate Impact Research, Germany Institute for Complex Systems and Mathematical Biology, University of Aberdeen, UK.
  • Wenbing Zhao
    Department of Electrical Engineering and Computer Science, Cleveland State University, Cleveland, Ohio, United States of America.
  • Jiuhong Xiao
    School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China.

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