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

Yao Xu; Wenbo Li; Chunmei Zhang; Wenxue Li

doi:10.1016/j.cnsns.2023.107452

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

Yao Xu
, Wenbo Li
, Chunmei Zhang^*
, Wenxue Li

^*Corresponding author for this work

Harbin Institute of Technology Weihai
School of Information Science and Engineering, Harbin Institute of Technology Weihai
Southwest Jiaotong University

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

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.

Original language	English
Article number	107452
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	126
DOIs	https://doi.org/10.1016/j.cnsns.2023.107452
State	Published - Nov 2023
Externally published	Yes

Keywords

Global bipartite synchronization
Proportional delays
Time-varying couplings
fractional-order signed networks

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10.1016/j.cnsns.2023.107452

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title = "Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays",

abstract = "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.",

keywords = "Global bipartite synchronization, Proportional delays, Time-varying couplings, fractional-order signed networks",

author = "Yao Xu and Wenbo Li and Chunmei Zhang and Wenxue Li",

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year = "2023",

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T1 - Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays

AU - Xu, Yao

AU - Li, Wenbo

AU - Zhang, Chunmei

AU - Li, Wenxue

PY - 2023/11

Y1 - 2023/11

N2 - 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.

AB - 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.

KW - Global bipartite synchronization

KW - Proportional delays

KW - Time-varying couplings

KW - fractional-order signed networks

UR - https://www.scopus.com/pages/publications/85166482153

U2 - 10.1016/j.cnsns.2023.107452

DO - 10.1016/j.cnsns.2023.107452

M3 - 文章

AN - SCOPUS:85166482153

SN - 1007-5704

VL - 126

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

M1 - 107452

ER -

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

Abstract

Keywords

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