Finite-time synchronization of quaternion-valued neural networks with delays: A switching control method without decomposition

被引：33

作者：

Peng, Tao ^{[1
,2
]}

Zhong, Jie ^{[3
]}

Tu, Zhengwen ^{[2
]}

Lu, Jianquan ^{[1
]}

Lou, Jungang ^{[4
]}

机构：

[1] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China

[2] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China

[3] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China

[4] Huzhou Univ, Sch Informat Engn, Zhejiang Prov Key Lab Smart Management & Applicat, Huzhou 313000, Peoples R China

来源：

NEURAL NETWORKS | 2022年 / 148卷

基金：

中国国家自然科学基金;

关键词：

Finite-time synchronization; Quaternion-valued neural networks; Time delays; Switching control method without; decomposition; EXPONENTIAL STABILITY; ANTI-SYNCHRONIZATION; SYSTEMS; STABILIZATION; PARAMETERS; DISCRETE;

D O I：

10.1016/j.neunet.2021.12.012

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Fora class of quaternion-valued neural networks (QVNNs) with discrete and distributed time delays, its finite-time synchronization (FTSYN) is addressed in this paper. Instead of decomposition, a direct analytical method named two-step analysis is proposed. That method can always be used to study FTSYN, under either 1-norm or 2-norm of quaternion. Compared with the decomposing method, the two-step method is also suitable for models that are not easily decomposed. Furthermore, a switching controller based on the two-step method is proposed. In addition, two criteria are given to realize the FTSYN of QVNNs. At last, three numerical examples illustrate the feasibility, effectiveness and practicability of our method.(c) 2021 Elsevier Ltd. All rights reserved.

引用

页码：37 / 47

页数：11