{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:46Z","timestamp":1740134566085,"version":"3.37.3"},"reference-count":21,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2012 M521718","[2011]LKC2004"],"award-info":[{"award-number":["2012 M521718","[2011]LKC2004"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Soft Science Research Project in Guizhou Province","award":["2012 M521718","[2011]LKC2004"],"award-info":[{"award-number":["2012 M521718","[2011]LKC2004"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>On the basis of the fact that the neuron activation function is sector bounded, this paper transforms the researched original delayed neural network into a linear uncertain system. Combined with delay partitioning technique, by using the convex combination between decomposed time delay and positive matrix, this paper constructs a novel Lyapunov function to derive new less conservative stability criteria. The benefit of the method used in this paper is that it can utilize more information on slope of the activations and time delays. To illustrate the effectiveness of the new established stable criteria, one numerical example and an application example are proposed to compare with some recent results.<\/jats:p>","DOI":"10.1155\/2013\/710741","type":"journal-article","created":{"date-parts":[[2013,7,25]],"date-time":"2013-07-25T18:19:58Z","timestamp":1374776398000},"page":"1-10","source":"Crossref","is-referenced-by-count":0,"title":["Piecewise Convex Technique for the Stability Analysis of Delayed Neural Network"],"prefix":"10.1155","volume":"2013","author":[{"given":"Zixin","family":"Liu","sequence":"first","affiliation":[{"name":"College of Computer Science and Information, Guizhou University, Guiyang 550025, China"},{"name":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China"}]},{"given":"Jian","family":"Yu","sequence":"additional","affiliation":[{"name":"College of Computer Science and Information, Guizhou University, Guiyang 550025, China"}]},{"given":"Daoyun","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Computer Science and Information, Guizhou University, Guiyang 550025, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5632-3050","authenticated-orcid":true,"given":"Dingtao","family":"Peng","sequence":"additional","affiliation":[{"name":"College of Science, Guizhou University, Guiyang 550025, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.08.012"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.08.037"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2010.09.011"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2010.09.020"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2010.08.005"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.11.025"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2010.09.009"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2011.2181867"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2005.849000"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.11.040"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2006.888373"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2008.2002436"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2009.2034742"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2011.2182659"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2011.2169425"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.10.014"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896298130"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1080\/00207720903353575"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2010.04.093"},{"issue":"5","key":"20","first-page":"750","volume":"31","year":"2005","journal-title":"Acta Automatica Sinica"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2009.10.001"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/710741.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/710741.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/710741.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T11:51:19Z","timestamp":1469879479000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/710741\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":21,"alternative-id":["710741","710741"],"URL":"https:\/\/doi.org\/10.1155\/2013\/710741","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}