Intermittent control for finite-time synchronization of fractional-order complex networks

被引：76
|
作者：
Zhang, Lingzhong [1 ]
Zhong, Jie [2 ]
Lu, Jianquan [3 ]
机构：
[1] Changshu Inst Technol, Sch Elect Engn & Automat, Changshu 215500, Jiangsu, Peoples R China
[2] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
NEURAL NETWORKS | 2021年 / 144卷
基金：
中国国家自然科学基金;
关键词：
Finite-time synchronization; Intermittent control; Fractional-order; Complex network; BAM NEURAL-NETWORKS; DYNAMICAL NETWORKS; SYSTEMS;
D O I：
10.1016/j.neunet.2021.08.004
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper is concerned with the finite-time synchronization problem for fractional-order complex dynamical networks (FCDNs) with intermittent control. Using the definition of Caputo's fractional derivative and the properties of Beta function, the Caputo fractional-order derivative of the power function is evaluated. A general fractional-order intermittent differential inequality is obtained with fewer additional constraints. Then, the criteria are established for the finite-time convergence of FCDNs under intermittent feedback control, intermittent adaptive control and intermittent pinning control indicate that the setting time is related to order of FCDNs and initial conditions. Finally, these theoretical results are illustrated by numerical examples. (C) 2021 Published by Elsevier Ltd.
引用
收藏
页码：11 / 20
页数：10
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