Synchronization of fractional-order delayed coupled networks with reaction-diffusion terms and Neumann boundary value conditions

被引：1

作者：

Zhang, Shuailei ^{[1
]}

Liu, Xinge ^{[1
]}

Ullah, Saeed ^{[1
]}

Tang, Meilan ^{[1
]}

Xu, Hongfu ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 129卷

基金：

中国国家自然科学基金;

关键词：

Fractional-order coupled network; Reaction-diffusion terms; Synchronization; Adaptive pinning control; GLOBAL EXPONENTIAL STABILITY; TIME OUTPUT SYNCHRONIZATION; NEURAL-NETWORKS; CLUSTER SYNCHRONIZATION; CONTROL STRATEGIES; ADAPTIVE-CONTROL; VARYING DELAYS;

D O I：

10.1016/j.cnsns.2023.107696

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the adaptive pinning strategies for achieving synchronization of fractional-order delayed coupled networks with reaction-diffusion terms and a digraph topology by incorporating Neumann boundary value conditions. By employing the inf-sup method, a novel fractional-order inequality is proved. The classical Poincare inequality is also extended by utilizing the Holder inequality. Two types of control laws are developed to achieve synchroniza-tion: one with control gains dependent solely on time, and another with control gains dependent on both space and time. For each case, adaptive control laws and synchronization criteria based on matrix inequalities are proposed. Finally, the effectiveness of the synchronization results is demonstrated through two numerical examples.

引用

页数：20

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