Mittag-Leffler Synchronization of Caputo-Delayed Quaternion BAM Neural Networks via Adaptive and Linear Feedback Control Designs

被引：0

作者：

Ye, Renyu ^{[1
]}

Cheng, Jingshun ^{[1
]}

Shu, Axiu ^{[1
]}

Zhang, Hai ^{[1
]}

机构：

[1] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Peoples R China

来源：

ELECTRONICS | 2022年 / 11卷 / 11期

关键词：

MLS; Caputo derivative; BAM-NNs; linear controller; adaptive controller; STABILITY ANALYSIS; TIME; MODEL; DISCRETE;

D O I：

10.3390/electronics11111746

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Mittag-Leffler synchronization (MLS) issue for Caputo-delayed quaternion bidirectional associative memory neural networks (BAM-NNs) is studied in this paper. Firstly, a novel lemma is proved by the Laplace transform and inverse transform. Then, without decomposing a quaternion system into subsystems, the adaptive controller and the linear controller are designed to realize MLS. According to the proposed lemma, constructing two different Lyapunov functionals and applying the fractional Razumikhin theorem and inequality techniques, the sufficient criteria of MLS on fractional delayed quaternion BAM-NNs are derived. Finally, two numerical examples are given to illustrate the validity and practicability.

引用

页数：17

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