{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T08:59:35Z","timestamp":1762160375299},"reference-count":46,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,2]]},"abstract":"<jats:p> In this paper, some global exponential stability criteria for the equilibrium point of discrete-time recurrent neural networks with variable delay are presented by using the linear matrix inequality (LMI) approach. The neural networks considered are assumed to have asymmetric weighting matrices throughout this paper. On the other hand, by applying matrix decomposition, the model is embedded into a cooperative one, the latter possesses important order-preserving properties which are basic to our analysis. A sufficient condition is obtained ensuring the componentwise exponential stability of the system with specific performances such as decay rate and trajectory bounds. <\/jats:p>","DOI":"10.1142\/s0218127405012235","type":"journal-article","created":{"date-parts":[[2005,5,10]],"date-time":"2005-05-10T11:32:19Z","timestamp":1115724739000},"page":"581-595","source":"Crossref","is-referenced-by-count":58,"title":["CONVERGENCE OF DISCRETE-TIME RECURRENT NEURAL NETWORKS WITH VARIABLE DELAY"],"prefix":"10.1142","volume":"15","author":[{"given":"JINLING","family":"LIANG","sequence":"first","affiliation":[{"name":"Department of Mathematics, Southeast University, Nanjing, 210096, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JINDE","family":"CAO","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Southeast University, Nanjing, 210096, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JAMES","family":"LAM","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of Hong Kong, Hong Kong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-46466-9"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.807515"},{"key":"rf4","volume-title":"Report No. 299","author":"Baker C. T. H.","year":"1996"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777"},{"key":"rf6","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/S0375-9601(99)00552-6","volume":"261","author":"Cao J.","journal-title":"Phys. Lett."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1006\/jcss.1999.1679"},{"key":"rf8","first-page":"494","volume":"48","author":"Cao J.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf9","first-page":"1330","volume":"48","author":"Cao J.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf10","first-page":"34","volume":"50","author":"Cao J.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065703001649"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2003.08.007"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.800841"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/72.896806"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1162\/089976602760805359"},{"key":"rf16","first-page":"051904","volume":"63","author":"Chu T.","journal-title":"Phys. Rev."},{"key":"rf17","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/S0375-9601(03)00692-3","volume":"312","author":"Chu T.","journal-title":"Phys. Lett."},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1109\/31.7600"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/31.7601"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1109\/31.101272"},{"key":"rf21","first-page":"84","volume":"150","author":"van den Driessche P.","journal-title":"Physica"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-4335-3"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2003.818614"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1109\/81.311541"},{"key":"rf25","first-page":"344","volume":"76","author":"Gopalsamy K.","journal-title":"Physica"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00750-1"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.79.8.2554"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.81.10.3088"},{"key":"rf29","first-page":"1104","volume":"49","author":"Hu S.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf30","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/S0375-9601(02)00537-6","volume":"298","author":"Huang H.","journal-title":"Phys. Lett."},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1109\/72.478396"},{"key":"rf32","first-page":"1024","volume":"7","author":"Jin L.","journal-title":"IEEE Trans. Neural Networks"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1109\/81.222801"},{"key":"rf34","doi-asserted-by":"crossref","first-page":"434","DOI":"10.1016\/S0375-9601(03)00945-9","volume":"314","author":"Liang J.","journal-title":"Phys. Lett."},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(02)00041-2"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2003.08.001"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1109\/81.199861"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065703001534"},{"key":"rf39","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1103\/PhysRevA.39.347","volume":"39","author":"Marcus C. M.","journal-title":"Phy. Rev."},{"key":"rf40","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4754(00)00168-3"},{"key":"rf41","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(01)00299-5"},{"key":"rf42","doi-asserted-by":"publisher","DOI":"10.1109\/81.802844"},{"key":"rf43","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/S0375-9601(02)00466-8","volume":"298","author":"Sun J.","journal-title":"Phys. Lett."},{"key":"rf44","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(03)00454-0"},{"key":"rf45","first-page":"677","volume":"50","author":"Yu G.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf46","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(00)00050-2"},{"key":"rf47","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.811255"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127405012235","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:07:17Z","timestamp":1565136437000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127405012235"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,2]]},"references-count":46,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,2]]}},"alternative-id":["10.1142\/S0218127405012235"],"URL":"https:\/\/doi.org\/10.1142\/s0218127405012235","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,2]]}}}