date: 2020-06-05T10:08:34Z
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pdf:docinfo:title: Novel fixed-time stabilization of quaternion-valued BAMNNs with disturbances and time-varying coefficients
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subject: In this paper, with the quaternion number and time-varying coefficients introduced into traditional BAMNNs, the model of quaternion-valued BAMNNs are formulated. For the first time, fixed-time stabilization of time-varying quaternion-valued BAMNNs is investigated. A novel fixed-time control method is adopted, in which the choice of the Lyapunov function is more general than in most previous results. To cope with the noncommutativity of the quaternion multiplication, two different fixed-time control methods are provided, a decomposition method and a non-decomposition method. Furthermore, to reduce the control strength and improve control efficiency, an adaptive fixed-time control strategy is proposed. Lastly, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

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dc:title: Novel fixed-time stabilization of quaternion-valued BAMNNs with disturbances and time-varying coefficients
modified: 2020-06-05T10:08:34Z
cp:subject: In this paper, with the quaternion number and time-varying coefficients introduced into traditional BAMNNs, the model of quaternion-valued BAMNNs are formulated. For the first time, fixed-time stabilization of time-varying quaternion-valued BAMNNs is investigated. A novel fixed-time control method is adopted, in which the choice of the Lyapunov function is more general than in most previous results. To cope with the noncommutativity of the quaternion multiplication, two different fixed-time control methods are provided, a decomposition method and a non-decomposition method. Furthermore, to reduce the control strength and improve control efficiency, an adaptive fixed-time control strategy is proposed. Lastly, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

pdf:docinfo:subject: In this paper, with the quaternion number and time-varying coefficients introduced into traditional BAMNNs, the model of quaternion-valued BAMNNs are formulated. For the first time, fixed-time stabilization of time-varying quaternion-valued BAMNNs is investigated. A novel fixed-time control method is adopted, in which the choice of the Lyapunov function is more general than in most previous results. To cope with the noncommutativity of the quaternion multiplication, two different fixed-time control methods are provided, a decomposition method and a non-decomposition method. Furthermore, to reduce the control strength and improve control efficiency, an adaptive fixed-time control strategy is proposed. Lastly, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

pdf:docinfo:creator: Ruoyu Wei
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created: Mon Mar 23 03:05:15 CET 2020
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Creation-Date: 2020-03-23T02:05:15Z
Author: Jinde Cao and J\"{u}rgen Kurths
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dc:description: In this paper, with the quaternion number and time-varying coefficients introduced into traditional BAMNNs, the model of quaternion-valued BAMNNs are formulated. For the first time, fixed-time stabilization of time-varying quaternion-valued BAMNNs is investigated. A novel fixed-time control method is adopted, in which the choice of the Lyapunov function is more general than in most previous results. To cope with the noncommutativity of the quaternion multiplication, two different fixed-time control methods are provided, a decomposition method and a non-decomposition method. Furthermore, to reduce the control strength and improve control efficiency, an adaptive fixed-time control strategy is proposed. Lastly, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

Keywords: quaternion; time-varying coefficients; bidirectional associative memory neural networks (BAMNNs); adaptive control; fixed-time stabilization
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dc:creator: Jinde Cao and J\"{u}rgen Kurths
description: In this paper, with the quaternion number and time-varying coefficients introduced into traditional BAMNNs, the model of quaternion-valued BAMNNs are formulated. For the first time, fixed-time stabilization of time-varying quaternion-valued BAMNNs is investigated. A novel fixed-time control method is adopted, in which the choice of the Lyapunov function is more general than in most previous results. To cope with the noncommutativity of the quaternion multiplication, two different fixed-time control methods are provided, a decomposition method and a non-decomposition method. Furthermore, to reduce the control strength and improve control efficiency, an adaptive fixed-time control strategy is proposed. Lastly, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

dcterms:created: 2020-03-23T02:05:15Z
Last-Modified: 2020-06-05T10:08:34Z
dcterms:modified: 2020-06-05T10:08:34Z
title: Novel fixed-time stabilization of quaternion-valued BAMNNs with disturbances and time-varying coefficients
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pdf:docinfo:keywords: quaternion; time-varying coefficients; bidirectional associative memory neural networks (BAMNNs); adaptive control; fixed-time stabilization
pdf:docinfo:modified: 2020-06-05T10:08:34Z
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creator: Jinde Cao and J\"{u}rgen Kurths
dc:subject: quaternion; time-varying coefficients; bidirectional associative memory neural networks (BAMNNs); adaptive control; fixed-time stabilization
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meta:keyword: quaternion; time-varying coefficients; bidirectional associative memory neural networks (BAMNNs); adaptive control; fixed-time stabilization
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