Impulsive synchronization of time-scales complex networks with time-varying topology

被引:10
作者
Pei, Yong [1 ,2 ]
Bohner, Martin [3 ]
Pi, Dechang [1 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Comp Sci & Technol, Nanjing 210016, Jiangsu, Peoples R China
[2] Jiangsu Vocat Inst Commerce, Sch Informat, Nanjing 211168, Jiangsu, Peoples R China
[3] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA
来源
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 80卷
关键词
Impulsive synchronization; Time scales; Complex networks; Dynamical networks; Time-varying; DYNAMICAL NETWORKS; NEURAL-NETWORKS; STABILITY;
D O I
10.1016/j.cnsns.2019.104981
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The dynamics of complex networks (CNs) often does not appear as absolutely continuous or discrete, but more likely to be mixed. This paper discusses the asymptotic synchronization problem of a class of complex networks with time-varying topology (TTCNs). Based on time scales theory, it obtains a general scale-type synchronization condition for TTCNs on different time scales. An impulsive control method is taken into account when the condition is not met, and a scale-type criterion is established in such situation. Simulations verify the effectiveness of our conclusions on different time scales, including continuous, discrete with arbitrary step, and mixed cases. (c) 2019 Elsevier B.V. All rights reserved.
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页数:10
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