Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control

In this paper, stabilization control of a class of delayed inertial neural networks (INN) is investigated. Employing matrix measure method and two Halanay-type inequalities, some succinct stabilization criteria in terms of algebraic inequalities are derived for the INN with time-varying delays under...

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Autores principales:	Xuan Chen, Guixian Cheng, Wenjun Xiao
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Stabilization inertial neural networks intermittent control matrix measure time delay Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/f66499f9937e49a8af39c8c11912ecec
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spelling	oai:doaj.org-article:f66499f9937e49a8af39c8c11912ecec2021-11-20T00:02:48ZMatrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control2169-353610.1109/ACCESS.2021.3127147https://doaj.org/article/f66499f9937e49a8af39c8c11912ecec2021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9611267/https://doaj.org/toc/2169-3536In this paper, stabilization control of a class of delayed inertial neural networks (INN) is investigated. Employing matrix measure method and two Halanay-type inequalities, some succinct stabilization criteria in terms of algebraic inequalities are derived for the INN with time-varying delays under periodically intermittent control (PIMC) strategy. Moreover, more precise results are obtained to stabilize the INN with time-invariant delays by using comparison principle. Specifically, the criteria of matrix measure form proposed in this paper can be converted into LMI-type condition for the case of 2-norm, which provides a bridge between the matrix-measure method and the Lyapunov function method. Finally, two numerical examples validate the efficacy of the derived results. The comparative research shows that the proposed methods generalize and develop some known results.Xuan ChenGuixian ChengWenjun XiaoIEEEarticleStabilizationinertial neural networksintermittent controlmatrix measuretime delayElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 152574-152584 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Stabilization inertial neural networks intermittent control matrix measure time delay Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Stabilization inertial neural networks intermittent control matrix measure time delay Electrical engineering. Electronics. Nuclear engineering TK1-9971 Xuan Chen Guixian Cheng Wenjun Xiao Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control
description	In this paper, stabilization control of a class of delayed inertial neural networks (INN) is investigated. Employing matrix measure method and two Halanay-type inequalities, some succinct stabilization criteria in terms of algebraic inequalities are derived for the INN with time-varying delays under periodically intermittent control (PIMC) strategy. Moreover, more precise results are obtained to stabilize the INN with time-invariant delays by using comparison principle. Specifically, the criteria of matrix measure form proposed in this paper can be converted into LMI-type condition for the case of 2-norm, which provides a bridge between the matrix-measure method and the Lyapunov function method. Finally, two numerical examples validate the efficacy of the derived results. The comparative research shows that the proposed methods generalize and develop some known results.
format	article
author	Xuan Chen Guixian Cheng Wenjun Xiao
author_facet	Xuan Chen Guixian Cheng Wenjun Xiao
author_sort	Xuan Chen
title	Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control
title_short	Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control
title_full	Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control
title_fullStr	Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control
title_full_unstemmed	Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control
title_sort	matrix measure strategies for stabilization of delayed inertial neural networks via intermittent control
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/f66499f9937e49a8af39c8c11912ecec
work_keys_str_mv	AT xuanchen matrixmeasurestrategiesforstabilizationofdelayedinertialneuralnetworksviaintermittentcontrol AT guixiancheng matrixmeasurestrategiesforstabilizationofdelayedinertialneuralnetworksviaintermittentcontrol AT wenjunxiao matrixmeasurestrategiesforstabilizationofdelayedinertialneuralnetworksviaintermittentcontrol
_version_	1718419873733804032

Matrix Measure Strategies for Stabilization of Delayed Inertial Neural Networks via Intermittent Control

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