Finite-Time Synchronization of Clifford-Valued Neural Networks With Infinite Distributed Delays and Impulses

被引：20

作者：

Boonsatit, N. ^{[1
]}

Sriraman, R. ^{[2
]}

Rojsiraphisal, T. ^{[3
]}

Lim, C. P. ^{[4
]}

Hammachukiattikul, P. ^{[5
]}

Rajchakit, G. ^{[6
]}

机构：

[1] Rajamangala Univ Technol Suvarnabhumi, Fac Sci & Technol, Dept Math, Nonthaburi 11000, Thailand

[2] Thiuvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

[3] Chiang Mai Univ, Adv Res Ctr Computat Simulat, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

[4] Deakin Univ, Inst Intelligent Syst Res & Innovat, Waurn Ponds, Vic 3216, Australia

[5] Phuket Rajabhat Univ PKRU, Fac Sci, Dept Math, Phuket 83000, Thailand

[6] Maejo Univ, Fac Sci, Dept Math, Chiang Mai 50290, Thailand

来源：

IEEE ACCESS | 2021年 / 9卷

关键词：

Clifford-valued neural networks; finite-time synchronization; infinite distributed delay; Lyapunov-Krasovskii fractional; DEPENDENT STABILITY ANALYSIS; DISCRETE;

D O I：

10.1109/ACCESS.2021.3102585

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the issue of finite-time synchronization pertaining to a class of Clifford-valued neural networks with discrete and infinite distributed delays and impulse phenomena. Since multiplication of Clifford numbers is of non-commutativity, we decompose the original n-dimensional Clifford-valued drive and response systems into the equivalent 2(m)-dimensional real-valued counterparts. We then derive the finite-time synchronization criteria concerning the decomposed real-valued drive and response models through new Lyapunov-Krasovskii functional and suitable controller as well as new computational techniques. We also demonstrate the usefulness of the results through a simulation example.

引用

页码：111050 / 111061

页数：12

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