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一类不连续复杂网络的指数同步研究

张兰

重庆工商大学学报(自然科学版)2017,Vol.34Issue(1):27-33,7.
重庆工商大学学报(自然科学版)2017,Vol.34Issue(1):27-33,7.DOI:10.16055/j.issn.1672-058X.2017.0001.006

一类不连续复杂网络的指数同步研究

Exponential Synchronization of Discontinuous Co mplex-valued Co mplex Dyna mical Network

张兰1

作者信息

  • 1. 重庆师范大学 数学科学学院,重庆401331
  • 折叠

摘要

Abstract

Exponential synchronization of discontinuous complex-valued complex dynamical network with nonlinear perturbation via feedback control and time-delayed impulsive control is studied,among which feedback control and time-delayed impulsive control are used to overcome the influence of complex dynamical network caused by discontinuous activation function.Based on the methods such as Filippov solution,differential inclusion, Lyapunov function and so on, this paper proposes some sufficient conditions to guarantee the exponential synchronization of discontinuous complex dynamical network.The results of this paper are promoted and improved by previous results and can be directly applied to the continuous complex dynamical network.Finally,numerical simulations are given to show the effectiveness of the theoretical results.

关键词

复杂动力网络/指数同步/时滞脉冲控制/不连续激活函数

Key words

complex-valued complex dynamical network/exponential synchronization/time-delayed impulsive control/discontinuous activation function

分类

数理科学

引用本文复制引用

张兰..一类不连续复杂网络的指数同步研究[J].重庆工商大学学报(自然科学版),2017,34(1):27-33,7.

基金项目

国家自然科学基金(61263020). ()

重庆工商大学学报(自然科学版)

1672-058X

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