Comparison principle and synchronization analysis of fractional-order complex networks with parameter uncertainties and multiple time delays

AIMS Mathematics

article

Hongguang Fan¹  Jihong Zhu²  Hui Wen³ 

[1] College of Computer, Chengdu University;Jiangxi Environmental Engineering Vocational College;Institute of New Engineering Industry, Putian University

关键词: fractional-order;    complex network;    synchronization;    impulsive control;    uncertainty;    delay;   

DOI  :  10.3934/math.2022719

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper investigates the global synchronization problems of fractional-order complex dynamical networks with uncertain inner coupling and multiple time delays. In particular, both internal time delays and coupling time delays are introduced into our model. To overcome the difficulties caused by various delays and uncertainties, a generalized delayed comparison principle with fractional-order and impulsive effects is established by using the Laplace transform. Based on the Lyapunov stability theory and mixed impulsive control technologies, some new synchronization criteria for concerned complex dynamical networks are derived. In addition, the synchronization criteria are related to the impulsive interval, network topology structure, fractional-order, and control gains. The theoretical results obtained in this paper can enhance the value of previous related works. Finally, numerical simulations are presented to show the correctness of our main results.

【 授权许可】

CC BY