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Synchronization in finite-time analysis of clifford-valued neural networks with finite-time distributed delays

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posted on 2021-05-21, 00:00 authored by G Rajchakit, R Sriraman, Chee Peng LimChee Peng Lim, P Sam-Ang, P Hammachukiattikul
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 2m-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.

History

Journal

Mathematics

Volume

9

Issue

11

Article number

ARTN 1163

Pagination

1 - 18

Publisher

MDPI / MDPI AG (Multidisciplinary Digital Publishing Institute)

Location

Basel, Switzerland

eISSN

2227-7390

Language

English

Publication classification

C1 Refereed article in a scholarly journal

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