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dc.contributor.authorBerezansky, Leonid
dc.contributor.authorBraverman, Elena
dc.contributor.authorIdels, Lev
dc.date.accessioned2016-09-27T16:29:13Z
dc.date.available2016-09-27T16:29:13Z
dc.date.issued2014-09-15
dc.identifier.citationBerezansky, L., Braverman, E., & Idels, L. (2014). New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks. Applied Mathematics and Computation, 243, 899-910. DOI: 10.1016/j.amc.2014.06.060en_US
dc.identifier.issn0096-3003
dc.identifier.otherDOI: 10.1016/j.amc.2014.06.060en
dc.identifier.urihttp://hdl.handle.net/10613/3040
dc.description.abstractWe consider a nonlinear non-autonomous system with time-varying delays (see abstract equation image) which has a large number of applications in the theory of artificial neural networks. Via the M-matrix method, easily verifiable sufficient stability conditions for the nonlinear system and its linear version are obtained. Application of the main theorem requires just to check whether a matrix, which is explicitly constructed using the system’s parameters, is an M-matrix. Comparison with the tests obtained by Gopalsamy (2007) and Liu (2013) for BAM neural networks illustrates novelty of the stability theorems. Some open problems conclude the paper.en
dc.format.extent15 pg.en
dc.format.mediumtexten
dc.format.mimetypeapplication/pdfen
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subject.lcshDelay differential equationsen
dc.subject.lcshDifferential equations, Nonlinearen
dc.subject.lcshDifferential equations--Asymptotic theoryen
dc.subject.lcshDifferential equations--Oscillation theoryen
dc.subject.otherArtificial neural networksen
dc.subject.otherTime-varying delaysen
dc.subject.otherM-matrixen
dc.subject.otherBAM neural networksen
dc.title[Pre-print] New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networksen_US
dc.typeArticleen_US
dc.description.versionPre-print versionen
dc.description.noteThis is a manuscript version of an article published as: Berezansky, L., Braverman, E., & Idels, L. (2014). New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks. Applied Mathematics and Computation, 243, 899-910. DOI: 10.1016/j.amc.2014.06.060. Applied Mathematics and Computation is available online at: http://www.journals.elsevier.com/applied-mathematics-and-computation and this article is available at: http://dx.doi.org/10.1016/j.amc.2014.06.060en
dc.description.fulltexthttps://viuspace.viu.ca/bitstream/handle/10613/3040/Idels.JAMC.243.pdf?sequence=3en
dc.identifier.doi10.1016/j.amc.2014.06.060


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