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Author dc.contributor.author Chiu, Kuo Shou
Author dc.contributor.author Pinto Jiménez, Manuel
Author dc.contributor.author Jeng, Jyh Cheng
Admission date dc.date.accessioned 2018-12-20T14:14:23Z
Available date dc.date.available 2018-12-20T14:14:23Z
Publication date dc.date.issued 2014
Cita de ítem dc.identifier.citation Acta Applicandae Mathematicae, Volumen 133, Issue 1, 2018, Pages 133-152
Identifier dc.identifier.issn 15729036
Identifier dc.identifier.issn 01678019
Identifier dc.identifier.other 10.1007/s10440-013-9863-y
Identifier dc.identifier.uri https://repositorio.uchile.cl/handle/2250/155127
Abstract dc.description.abstract This paper is concerned with existence, uniqueness and global exponential stability of a periodic solution for recurrent neural network described by a system of differential equations with piecewise constant argument of generalized type (in short DEPCAG). The model involves both advanced and delayed arguments. Employing Banach fixed point theorem combined with Green's function and DEPCAG integral inequality of Gronwall type, we obtain some novel sufficient conditions ensuring the existence as well as the global convergence of the periodic solution. Our results are new, extend and improve earlier publications. Several numerical examples and simulations are also given to show the feasibility of our results. © 2013 Springer Science+Business Media.
Lenguage dc.language.iso en
Publisher dc.publisher Kluwer Academic Publishers
Type of license dc.rights Attribution-NonCommercial-NoDerivs 3.0 Chile
Link to License dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
Source dc.source Acta Applicandae Mathematicae
Keywords dc.subject Asymptotic stability
Keywords dc.subject Global exponential stability
Keywords dc.subject Periodic solutions
Keywords dc.subject Piecewise constant argument of generalized type
Keywords dc.subject Recurrent neural networks
Título dc.title Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument
Document type dc.type Artículo de revista
Cataloguer uchile.catalogador SCOPUS
Indexation uchile.index Artículo de publicación SCOPUS
uchile.cosecha uchile.cosecha SI
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