Passivity of fractional-order coupled neural networks with multiple state/derivative couplings

被引：26

作者：

Liu, Chen-Guang ^{[1
]}

Wang, Jin-Liang ^{[1
,2
]}

机构：

[1] Tiangong Univ, Sch Comp Sci & Technol, Tianjin Key Lab Autonomous Intelligence Technol &, Tianjin 300387, Peoples R China

[2] Linyi Univ, Sch Informat Sci & Technol, Linyi 276005, Shandong, Peoples R China

来源：

NEUROCOMPUTING | 2021年 / 455卷

基金：

中国国家自然科学基金;

关键词：

Fractional-order coupled neural networks; (FOCNNs); Multiple derivative couplings; Multiple state couplings; Passivity; Synchronization; PINNING SYNCHRONIZATION; STABILITY ANALYSIS;

D O I：

10.1016/j.neucom.2021.05.050

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper respectively discusses the passivity of fractional-order coupled neural networks with multiple state couplings (FOCNNMSCs) or multiple derivative couplings (FOCNNMDCs). In light of fractional-order system theory, several sufficient conditions for ensuring the passivity of the FOCNNMSCs are established. Moreover, a synchronization criterion for the FOCNNMSCs is obtained under the condition that the FOCNNMSCs is output-strictly passive. Similarly, we also investigate the passivity of the FOCNNMDCs by resorting to the Lyapunov functional method, and the output-strict passivity is used to deal with the synchronization for the FOCNNMDCs. Finally, the effectiveness of the obtained criteria is verified by two numerical examples with simulations. (c) 2021 Elsevier B.V. All rights reserved.

引用

页码：379 / 389

页数：11

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