Observer-based sliding mode control for synchronization of delayed chaotic neural networks with unknown disturbance.

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

Abstract

This paper considers the synchronization of delayed chaotic neural networks with unknown disturbance via observer-based sliding mode control. We design a sliding surface involving integral structure and a discontinuous control law such that the trajectories of error system converge to the sliding surface in finite time and remain on it thereafter. Then, by constructing Lyapunov-Krasovskii functional and using the linear matrix inequality (LMI) technique, some sufficient conditions are derived to guarantee the synchronization of chaotic neural networks. The advantages of our proposed results include:(i) It can be applied to synchronous control for drive and response systems with different structures; (ii) It can be applied to the response system with unknown disturbance. Finally, a simulation example is shown to illustrate the proposed methods.

Authors

  • Yongshun Zhao
    School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014, PR China.
  • Xiaodi Li
  • Peiyong Duan
    Shandong Key Laboratory of Medical Physics and Image Processing, School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014, PR China; School of Information Science and Engineering, Shandong Normal University, Jinan 250014, PR China. Electronic address: duanpeiyong@sdnu.edu.cn.