Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties

Abstract The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniquen...

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Main Authors:	Yuanshun Tan, Sanyi Tang, Jin Yang, Zijian Liu
Format:	Article
Language:	English
Published:	Springer 2017-09-01
Series:	Journal of Inequalities and Applications
Subjects:	complex-valued neural networks robust stability delay impulsive
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1490-0

id	doaj-art-5bde1395f9954ba8933b656ef956ed80
recordtype	oai_dc
spelling	doaj-art-5bde1395f9954ba8933b656ef956ed802018-09-16T11:03:36ZengSpringerJournal of Inequalities and Applications1029-242X2017-09-012017111510.1186/s13660-017-1490-0Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertaintiesYuanshun Tan0Sanyi Tang1Jin Yang2Zijian Liu3College of Mathematics and Statistics, Chongqing Jiaotong UniversityCollege of Mathematics and Statistics, Shaanxi Normal UniversityCollege of Mathematics and Statistics, Chongqing Jiaotong UniversityCollege of Mathematics and Statistics, Chongqing Jiaotong UniversityAbstract The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniqueness of the equilibrium for the CVNNs. By constructing appropriate Lyapunov-Krasovskii functionals and employing the complex-valued matrix inequality skills, the study finds the conditions to guarantee its global robust stability. A numerical simulation illustrates the correctness of the proposed theoretical results.http://link.springer.com/article/10.1186/s13660-017-1490-0complex-valued neural networksrobust stabilitydelayimpulsive
institution	Open Data Bank
collection	Open Access Journals
building	Directory of Open Access Journals
language	English
format	Article
author	Yuanshun Tan Sanyi Tang Jin Yang Zijian Liu
spellingShingle	Yuanshun Tan Sanyi Tang Jin Yang Zijian Liu Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties Journal of Inequalities and Applications complex-valued neural networks robust stability delay impulsive
author_facet	Yuanshun Tan Sanyi Tang Jin Yang Zijian Liu
author_sort	Yuanshun Tan
title	Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties
title_short	Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties
title_full	Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties
title_fullStr	Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties
title_full_unstemmed	Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties
title_sort	robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties
publisher	Springer
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-09-01
description	Abstract The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniqueness of the equilibrium for the CVNNs. By constructing appropriate Lyapunov-Krasovskii functionals and employing the complex-valued matrix inequality skills, the study finds the conditions to guarantee its global robust stability. A numerical simulation illustrates the correctness of the proposed theoretical results.
topic	complex-valued neural networks robust stability delay impulsive
url	http://link.springer.com/article/10.1186/s13660-017-1490-0
_version_	1612573933171638272

Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties

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