Edge-Based Synchronization Control Criteria of Complex Dynamical Networks with Reaction-Diffusions

被引：0
作者：
Xie, Tao [1 ,2 ]
Zhang, Qike [1 ,2 ]
Xiong, Xing [1 ,2 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China
[2] Hubei Normal Univ, Sch Math & Stat, Huangshi Key Lab Metaverse & Virtual Simulat, Huangshi 435002, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 12期
关键词：
complex networks; asymptotical synchronization; edge-based adaptive pinning control; reaction-diffusion terms; delays; MEMRISTIVE NEURAL-NETWORKS; TIME ANTI-SYNCHRONIZATION; EXPONENTIAL SYNCHRONIZATION; TERMS; DELAY;
D O I：
10.3390/math12121911
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This research investigates the edge-based asymptotic synchronization of delayed complex dynamical networks with reaction-diffusions and by an edge-based adaptive pinning control technique. Sufficient conditions for reaction-diffusion networks to realize synchronization are provided by Green's formula, Wirtinger inequality, inequality analysis techniques, and contradiction methods. The results show that network synchronization can be achieved by pinning any edge of the network (the choice of edge is arbitrary), which greatly reduces the difficulty of control. Lastly, a series of numerical examples illustrating the theoretical findings is provided.
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页数：18
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