Global exponential stability of non-autonomous cellular neural networks with impulses and time-varying delays

Autor:	Shujun Long, Daoyi Xu
Rok vydání:	2013
Předmět:	Numerical Analysis Matrix (mathematics) Property (philosophy) Exponential stability Early results Control theory Applied Mathematics Modeling and Simulation Cellular neural network Differential inequalities Mathematics
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 18:1463-1472
ISSN:	1007-5704
DOI:	10.1016/j.cnsns.2012.10.015
Popis:	In this paper, we investigate the exponential stability of non-autonomous cellular neural networks with impulses and time-varying delays. By using the property of M -matrix, we establish a new differential inequality to effect for non-autonomous systems. Basing on the differential inequality, the sufficient conditions ensuring the global exponential stability of the considered system are obtained. Our results improve some early results in the literature. An example and its simulation were given to illustrate the effectiveness and superiority of our main results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6301af40be39cf42d7ff3a10e8d8cede https://doi.org/10.1016/j.cnsns.2012.10.015 Zobrazit plný text záznamu Full Text from ScienceDirect