上海师范大学学报(自然科学版)2024,Vol.53Issue(4) :447-456.DOI:10.20192/j.cnki.JSHNU(NS).2024.04.001

具有多重时变时滞复杂网络的牵制脉冲控制投影同步分析

Projective synchronization analysis of master-slave complex networks with multiple time-varying delays via pinning impulsive control

龚思艺
上海师范大学学报(自然科学版)2024,Vol.53Issue(4) :447-456.DOI:10.20192/j.cnki.JSHNU(NS).2024.04.001

具有多重时变时滞复杂网络的牵制脉冲控制投影同步分析

Projective synchronization analysis of master-slave complex networks with multiple time-varying delays via pinning impulsive control

龚思艺1
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作者信息

  • 1. 西南交通大学 数学学院,四川成都 610031
  • 折叠

摘要

研究了一类具有多时变时滞的驱动-响应复杂动态网络系统的投影同步问题.非线性项和耦合项共具有n+1个不相同的时变时滞,增加了研究的难度.利用Lyapunov方法构造了 Lyapunov函数,并应用牵制脉冲控制器解决了研究难点,从而给出了一类具有多重混合时滞的驱动-响应复杂网络,实现投影同步的充分条件.最后通过一个数值仿真验证了该方法的有效性.

Abstract

This paper investigated the projective synchronization problem for a class of master-slave complex dynamical networks with multiple time-varying delays via a pinning impulsive controller.The nonlinear term and the coupled term had n+1 non-identical time-varying delays,which increased our research difficulties.By using the Lyapunov method,I construct a multinomial Lyapunov function,and apply the pinning impulsive controller to solve the difficulties,thus a new criterion was given for a class of master-slave complex networks with multiple mixed delays to achieve projective synchronization.A numerical simulation was presented to verify the effectiveness of our result.

关键词

投影同步/时变延迟/复杂网络/牵制脉冲控制

Key words

projective synchronization/time-varying delays/complex networks/pinning impulsive control

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出版年

2024
上海师范大学学报(自然科学版)
上海师范大学

上海师范大学学报(自然科学版)

影响因子:0.255
ISSN:1000-5137
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