Cluster Synchronization of Multiple Fractional-Order Recurrent Neural Networks With Time-Varying Delays

被引:9
作者
Liu, Peng [1 ,2 ]
Xu, Minglin [1 ,2 ]
Sun, Junwei [1 ,2 ]
Wen, Shiping [3 ]
机构
[1] Zhengzhou Univ Light Ind, Henan Key Lab Informat Based Elect Appliances, Zhengzhou 450002, Peoples R China
[2] Zhengzhou Univ Light Ind, Sch Elect & Informat Engn, Zhengzhou 450002, Peoples R China
[3] Univ Technol Sydney, Fac Engn & Informat Technol, Australian AI Inst, Ultimo, NSW 2007, Australia
基金
中国国家自然科学基金;
关键词
Synchronization; Fuzzy control; Delays; Time-varying systems; Adaptive control; Delay effects; Couplings; cluster synchronization; fractional-order recurrent neural networks (FNNs); time-varying delays; COMPLEX DYNAMICAL NETWORKS; ADAPTIVE SYNCHRONIZATION; DIRECTED NETWORKS; SYSTEMS;
D O I
10.1109/TNNLS.2021.3121516
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This article focuses on the cluster synchronization of multiple fractional-order recurrent neural networks (FNNs) with time-varying delays. Sufficient criteria are deduced for realizing cluster synchronization of multiple FNNs via a pinning control by applying an extended Halanay inequality applicable for time-delayed fractional-order differential equations. Moreover, an adaptive control applicable for the synchronization of fractional-order systems with time-varying delays is proposed, under which sufficient criteria are derived for realizing cluster synchronization of multiple FNNs with time-varying delays. Finally, two examples are presented to illustrate the effectiveness of the theoretical results.
引用
收藏
页码:4007 / 4018
页数:12
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