Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays

被引：17
作者：
Xu, Yao [1 ]
Li, Wenbo [2 ]
Zhang, Chunmei [3 ]
Li, Wenxue [1 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] Harbin Inst Technol Weihai, Sch Informat Sci & Engn, Weihai 264209, Peoples R China
[3] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 126卷
关键词：
Proportional delays; fractional-order signed networks; Global bipartite synchronization; Time-varying couplings; VALUED NEURAL-NETWORKS; FINITE-TIME; DYNAMICAL NETWORKS; STABILITY; SYSTEMS;
D O I：
10.1016/j.cnsns.2023.107452
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays. A systematic approach is proposed by combining graph theory, the Lyapunov method, and the Razumikhin method. A Razumikhin-type theorem and a coefficient-type theorem are given, and thus several significant bipartite synchronization criteria related to both the order of fractional-order derivative and the proportionality factor are obtained. Besides, the results are applied to Chua's circuits to reflect the availability of theoretical analysis. Finally, a numerical example is proposed to substantiate the effectiveness of theoretical results.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：12
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