IEEE Access (Jan 2021)

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

  • N. Boonsatit,
  • R. Sriraman,
  • T. Rojsiraphisal,
  • C. P. Lim,
  • P. Hammachukiattikul,
  • G. Rajchakit

DOI
https://doi.org/10.1109/ACCESS.2021.3102585
Journal volume & issue
Vol. 9
pp. 111050 – 111061

Abstract

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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.

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