Anti-periodic synchronization of quaternion-valued high-order Hopfield neural networks with delays-Reference-Cited by-同舟云学术

Anti-periodic synchronization of quaternion-valued high-order Hopfield neural networks with delays

Published:2022 Issue:8 Volume:7 Page:14051-14075
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Gao Jin¹,Dai Lihua²

Affiliation:

1. School of Information, Yunnan Communications Vocational and Technical College, Kunming, Yunnan 650500, China

2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Abstract

<abstract><p>This paper proposes a class of quaternion-valued high-order Hopfield neural networks with delays. By using the non-decomposition method, non-reduced order method, analytical techniques in uniform convergence functions sequence, and constructing Lyapunov function, we obtain several sufficient conditions for the existence and global exponential synchronization of anti-periodic solutions for delayed quaternion-valued high-order Hopfield neural networks. Finally, an example and its numerical simulations are given to support the proposed approach. Our results play an important role in designing inertial neural networks.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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