Event-triggered control for robust exponential synchronization of inertial memristive neural networks under parameter disturbance.

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

Abstract

Synchronization of memristive neural networks (MNNs) by using network control scheme has been widely and deeply studied. However, these researches are usually restricted to traditional continuous-time control methods for synchronization of the first-order MNNs. In this paper, we study the robust exponential synchronization of inertial memristive neural networks (IMNNs) with time-varying delays and parameter disturbance via event-triggered control (ETC) scheme. First, the delayed IMNNs with parameter disturbance are changed into first-order MNNs with parameter disturbance by constructing proper variable substitutions. Next, a kind of state feedback controller is designed to the response IMNN with parameter disturbance. Based on feedback controller, some ETC methods are provided to largely decrease the update times of controller. Then, some sufficient conditions are provided to realize robust exponential synchronization of delayed IMNNs with parameter disturbance via ETC scheme. Moreover, the Zeno behavior will not happen in all ETC conditions shown in this paper. Finally, numerical simulations are given to verify the advantages of the obtained results such as anti-interference performance and good reliability.

Authors

  • Wei Yao
    Department of Respiratory Medicine, The Third Affiliated Hospital of Chongqing Medical University, Chongqing, China.
  • Chunhua Wang
    College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China.
  • Yichuang Sun
    School of Engineering and Technology, University of Hertfordshire, Hatfield AL10 9AB, UK.
  • Shuqing Gong
    College of Mathematics and Econometrics, Hunan University, Changsha 410082, China.
  • Hairong Lin
    College of Information Science and Engineering, Hunan University, Changsha, 410082, China.