Finite-Time Synchronization of Discontinuous Fractional-Order Complex Networks With Delays

被引：0
|
作者：
Xie, Tao [1 ]
Xiong, Xing [1 ]
Zhang, Qike [1 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China
来源：
IEEE ACCESS | 2024年 / 12卷
关键词：
Synchronization; Delays; Complex networks; Symbols; Stability criteria; Neurons; Linear matrix inequalities; Fractional-order complex network; finite-time synchronization; Filippo differential inclusion; discontinuous dynamics; NEURAL-NETWORKS; FIXED-TIME;
D O I：
10.1109/ACCESS.2024.3430537
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers the delay-related finite-time synchronization issue for fractional-order delayed complex networks (FODCNs) with discontinuous activations. Firstly, a novel fractional-order differential inequality with delay is derived based on the properties of Laplace transforms and Mittag-Leffler functions. In addition, with the aid of the constructed differential inequality, two new delay-related fractional-order finite-time convergence principles (FOFTCPs) is obtained. Furthmore, under the framework of Filippov's solution, a control protocol without delay is constructed to achieve the synchronization in infinite time for FODCNs. Finally, the effectiveness and validity of the proposed results are demonstrated through two numerical examples.
引用
收藏
页码：128482 / 128493
页数：12
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