Synchronization in Finite-Time Analysis of Clifford-Valued Neural Networks with Finite-Time Distributed Delays

被引：36

作者：

Rajchakit, Grienggrai ^{[1
]}

Sriraman, Ramalingam ^{[2
]}

Lim, Chee Peng ^{[3
]}

Sam-ang, Panu ^{[4
]}

Hammachukiattikul, Porpattama ^{[5
]}

机构：

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

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

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

[4] Suranaree Univ Technol, Sch Math, Inst Sci, Nakhon Ratchasima 30000, Thailand

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

来源：

MATHEMATICS | 2021年 / 9卷 / 11期

关键词：

Clifford-valued neural network; finite-time synchronization; distributed delay; Lyapunov-Krasovskii fractional; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; DISCRETE;

D O I：

10.3390/math9111163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we explore the finite-time synchronization of Clifford-valued neural networks with finite-time distributed delays. To address the problem associated with non-commutativity pertaining to the multiplication of Clifford numbers, the original n-dimensional Clifford-valued drive and response systems are firstly decomposed into the corresponding 2(m)-dimensional real-valued counterparts. On the basis of a new Lyapunov-Krasovskii functional, suitable controller and new computational techniques, finite-time synchronization criteria are formulated for the corresponding real-valued drive and response systems. The feasibility of the main results is verified by a numerical example.

引用

页数：18

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