Global synchronization between two fractional-order complex networks with non-delayed and delayed coupling via hybrid impulsive control

被引：48
作者：
Li, Hong-Li [1 ,2 ]
Cao, Jinde [2 ]
Hu, Cheng [1 ]
Zhang, Long [1 ]
Wang, Zuolei [3 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Yancheng Teachers Univ, Sch Math & Stat, Yancheng 224002, Peoples R China
来源：
NEUROCOMPUTING | 2019年 / 356卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Global synchronization; Fractional-order; Complex network; Delay coupling; Graph theory; FINITE-TIME SYNCHRONIZATION; MITTAG-LEFFLER STABILITY; EXPONENTIAL SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; SYSTEMS; FEEDBACK;
D O I：
10.1016/j.neucom.2019.04.059
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 focuses on the global synchronization problem for two fractional-order complex networks with non-delayed and delayed coupling (FCNNDC) by using hybrid impulsive control strategy. First, a fractional-order comparison principle is established firstly. Based on our proposed comparison principle and combining algebraic graph theory and laplace transform as well as mathematical induction, some novel synchronization criteria revealing the interplay among the impulsive gain, impulsive interval, networks' topology structure and fractional order, are derived to guarantee the global synchronization of FCNNDC. Finally, some numerical results are presented to illustrate the effectiveness of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：31 / 39
页数：9
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