Fast finite-time quantized control of multi-layer networks and its applications in secure communication.

Journal: Neural networks : the official journal of the International Neural Network Society
PMID:

Abstract

This paper introduces a quantized controller to address the challenge of fast finite-time synchronization of multi-layer networks, where each layer represents a distinct type of interaction within complex systems. Firstly, based on the stability theory, a novel fast finite-time stability criterion is derived, which can set a smaller upper limit of the settling time by comparing it with the general finite-time stability. Secondly, by converting continuous error signals into piecewise continuous forms, a quantized control scheme is employed to realize fast finite-time synchronization in multi-layer networks, which can save control resources and alleviate communication congestion. Finally, the feasibility of the quantized control algorithm in multi-layer network synchronization and its applications in secure communication are verified through numerical simulation.

Authors

  • Qian Tang
    Department of Radiology, Minda Hospital, Hubei Minzu University, Enshi, People's Republic of China.
  • Shaocheng Qu
    College of Physical Science and Technology, Central China Normal University, Wuhan, 430079, China. Electronic address: qushaocheng@mail.ccnu.edu.cn.
  • Wei Zheng
    School of Computer Engineering, Jinling Institute of Technology, Nanjing, 211169, China. zhengwei@jit.edu.cn.
  • Zhengwen Tu
    Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210996, Jiangsu, China; School of Mathematics and Statistics, and Key Laboratory for Nonlinear Science and System Structure, Chongqing Three Gorges University, Wanzhou 404100, Chongqing, China.