Exponential convergence of solutions of SICNNs with mixed delays

In this paper, we discuss shunting inhibitory cellular neural networks (SICNNs) with mixed delays and time-varying coefficients. We establish conditions for all solutions of SICNNs to converge exponentially to zero. Our theorem improve some known results and allow for more general activation fun...

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Bibliographic Details
Main Authors:	Hui-Sheng Ding, Guo-Rong Ye
Format:	Article
Language:	English
Published:	Texas State University 2009-03-01
Series:	Electronic Journal of Differential Equations
Subjects:	Exponential convergence behavior delay shunting inhibitory cellular neural networks
Online Access:	http://ejde.math.txstate.edu/Volumes/2009/41/abstr.html

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spelling	doaj-623b1033279e4e34a443d9c7209b35312020-11-25T01:12:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-03-01200941,17Exponential convergence of solutions of SICNNs with mixed delaysHui-Sheng DingGuo-Rong YeIn this paper, we discuss shunting inhibitory cellular neural networks (SICNNs) with mixed delays and time-varying coefficients. We establish conditions for all solutions of SICNNs to converge exponentially to zero. Our theorem improve some known results and allow for more general activation functions. http://ejde.math.txstate.edu/Volumes/2009/41/abstr.htmlExponential convergence behaviordelayshunting inhibitory cellular neural networks
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hui-Sheng Ding Guo-Rong Ye
spellingShingle	Hui-Sheng Ding Guo-Rong Ye Exponential convergence of solutions of SICNNs with mixed delays Electronic Journal of Differential Equations Exponential convergence behavior delay shunting inhibitory cellular neural networks
author_facet	Hui-Sheng Ding Guo-Rong Ye
author_sort	Hui-Sheng Ding
title	Exponential convergence of solutions of SICNNs with mixed delays
title_short	Exponential convergence of solutions of SICNNs with mixed delays
title_full	Exponential convergence of solutions of SICNNs with mixed delays
title_fullStr	Exponential convergence of solutions of SICNNs with mixed delays
title_full_unstemmed	Exponential convergence of solutions of SICNNs with mixed delays
title_sort	exponential convergence of solutions of sicnns with mixed delays
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2009-03-01
description	In this paper, we discuss shunting inhibitory cellular neural networks (SICNNs) with mixed delays and time-varying coefficients. We establish conditions for all solutions of SICNNs to converge exponentially to zero. Our theorem improve some known results and allow for more general activation functions.
topic	Exponential convergence behavior delay shunting inhibitory cellular neural networks
url	http://ejde.math.txstate.edu/Volumes/2009/41/abstr.html
work_keys_str_mv	AT huishengding exponentialconvergenceofsolutionsofsicnnswithmixeddelays AT guorongye exponentialconvergenceofsolutionsofsicnnswithmixeddelays
_version_	1725163914821369856

Exponential convergence of solutions of SICNNs with mixed delays

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