{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T16:09:55Z","timestamp":1744906195622},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2012,3,28]],"date-time":"2012-03-28T00:00:00Z","timestamp":1332892800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2013,3]]},"DOI":"10.1007\/s00521-012-0888-3","type":"journal-article","created":{"date-parts":[[2012,3,27]],"date-time":"2012-03-27T03:32:37Z","timestamp":1332819157000},"page":"587-595","source":"Crossref","is-referenced-by-count":7,"title":["The globally asymptotic stability analysis for a class of recurrent neural networks with delays"],"prefix":"10.1007","volume":"22","author":[{"given":"Xingguo","family":"Song","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haibo","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Ding","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Deyou","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Minghui","family":"Hao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,3,28]]},"reference":[{"key":"888_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1162\/neco.1992.4.1.1","volume":"4","author":"S Geman","year":"1992","unstructured":"Geman S, Bienenstock E, Doursat R (1992) Neural networks and the bias\/variance dilemma. Neural Comput 4:1\u201358","journal-title":"Neural Comput"},{"key":"888_CR2","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/0893-6080(88)90021-4","volume":"1","author":"S Grossberg","year":"1988","unstructured":"Grossberg S (1988) Nonlinear neural networks: principles, mechanisms, and architectures. Neural Netw 1:17\u201361","journal-title":"Neural Netw"},{"issue":"3","key":"888_CR3","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1162\/neco.1993.5.3.473","volume":"5","author":"P Kerlirzin","year":"1993","unstructured":"Kerlirzin P, Vallet F (1993) Robustness in multilayer perceptrons. Neural Comput 5(3):473\u2013482","journal-title":"Neural Comput"},{"key":"888_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0129065703001352","volume":"13","author":"W Lu","year":"2003","unstructured":"Lu W, Rong L, Chen T (2003) Global convergence of delayed dynamical systems [J]. Int J Neural Syst 13:1\u201312","journal-title":"Int J Neural Syst"},{"key":"888_CR5","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/S0362-546X(02)00176-1","volume":"53","author":"X Li","year":"2003","unstructured":"Li X, Huang L, Zhu H (2003) Global stability of cellular neural networks with constant and variable delays. Nonlinear Anal 53:319\u2013333","journal-title":"Nonlinear Anal"},{"key":"888_CR6","doi-asserted-by":"crossref","first-page":"967","DOI":"10.1016\/j.nonrwa.2005.09.001","volume":"7","author":"F Ren","year":"2006","unstructured":"Ren F, Cao J (2006) LMI-based criteria for stability of high-order neural networks with time-varying delay. Nonlinear Anal Real World Appl 7:967\u2013979","journal-title":"Nonlinear Anal Real World Appl"},{"key":"888_CR7","doi-asserted-by":"crossref","unstructured":"Abarbanel HDI (1996) Analysis of observed chaotic data. Springer, New York","DOI":"10.1007\/978-1-4612-0763-4"},{"key":"888_CR8","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1109\/81.841859","volume":"47","author":"S Arik","year":"2000","unstructured":"Arik S, Tavsanoglu V (2000) On the global asymptotic stability of delayed cellular neural networks. IEEE Trans Circuits Syst I 47:571\u2013574","journal-title":"IEEE Trans Circuits Syst I"},{"key":"888_CR9","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1016\/j.chaos.2005.09.050","volume":"31","author":"V Singh","year":"2007","unstructured":"Singh V (2007) Improved global robust stability criterion for delayed neural networks. Chaos Solitons Fractals 31:224\u2013229","journal-title":"Chaos Solitons Fractals"},{"key":"888_CR10","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1109\/TCSI.2002.801264","volume":"49","author":"S Arik","year":"2002","unstructured":"Arik S (2002) An improved global stability result for delayed cellular neural networks. IEEE Trans Circuits Syst-I 49:1211\u20131214","journal-title":"IEEE Trans Circuits Syst-I"},{"key":"888_CR11","doi-asserted-by":"crossref","first-page":"1239","DOI":"10.1109\/TNN.2002.1031957","volume":"13","author":"S Arik","year":"2002","unstructured":"Arik S (2002) An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Trans Neural Netw 13:1239\u20131242","journal-title":"IEEE Trans Neural Netw"},{"key":"888_CR12","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1016\/S0375-9601(03)00569-3","volume":"311","author":"S Arik","year":"2003","unstructured":"Arik S (2003) Global asymptotic stability of a larger class of neural networks with constant time delay. Phys Lett A 311:504\u2013511","journal-title":"Phys Lett A"},{"key":"888_CR13","doi-asserted-by":"crossref","first-page":"1330","DOI":"10.1109\/81.964422","volume":"48","author":"J Cao","year":"2001","unstructured":"Cao J (2001) Global stability conditions for delayed CNNs. IEEE Trans Circuits Syst I 48:1330\u20131333","journal-title":"IEEE Trans Circuits Syst I"},{"key":"888_CR14","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/j.physleta.2005.02.043","volume":"338","author":"H Huang","year":"2005","unstructured":"Huang H, Teng Z (2005) A new criterion on global exponential stability for cellular neural networks with multiple time-varying delays. Phys Lett A 338:461\u2013471","journal-title":"Phys Lett A"},{"key":"888_CR15","doi-asserted-by":"crossref","first-page":"1077","DOI":"10.1109\/TNN.2006.875969","volume":"17","author":"Y He","year":"2006","unstructured":"He Y, Wang Q, Wu M, Lin C (2006) Delay-dependent state estimation for delayed neural networks. IEEE Trans Neural Netw 17:1077\u20131081","journal-title":"IEEE Trans Neural Netw"},{"key":"888_CR16","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1109\/81.841858","volume":"47","author":"S Arik","year":"2000","unstructured":"Arik S (2000) Global asymptotic stability of a class of dynamical neural networks. IEEE Trans Circuits Syst I 47:568\u2013571","journal-title":"IEEE Trans Circuits Syst I"},{"issue":"1","key":"888_CR17","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1142\/S012906570300139X","volume":"13","author":"A Meyer-B\u00e4se","year":"2003","unstructured":"Meyer-B\u00e4se A, Sergei S, Pilyugin SS (2003) Global asymptotic stability of a class of dynamical neural networks. Int J Neural Syst 13(1):47\u201353","journal-title":"Int J Neural Syst"},{"key":"888_CR18","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1109\/TCSI.2002.800842","volume":"49","author":"X Liao","year":"2002","unstructured":"Liao X, Chen G, Sanchez EN (2002) LMI-based approach for asymptotic stability analysis of delayed neural networks. IEEE Trans Circuits Syst I 49:1033\u20131039","journal-title":"IEEE Trans Circuits Syst I"},{"key":"888_CR19","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1109\/TCSI.2002.807494","volume":"50","author":"J Cao","year":"2003","unstructured":"Cao J, Wang J (2003) Global asymptotic stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans Circuits Syst I 50:34\u201344","journal-title":"IEEE Trans Circuits Syst I"},{"key":"888_CR20","volume-title":"Introduction to Lie groups and Lie algebras","author":"A Sagle","year":"1973","unstructured":"Sagle A, Walde R (1973) Introduction to Lie groups and Lie algebras. Academic Press, New York"},{"key":"888_CR21","doi-asserted-by":"crossref","first-page":"1223","DOI":"10.1016\/S0893-6080(03)00075-3","volume":"16","author":"T Chu","year":"2003","unstructured":"Chu T, Zhang C, Zhang Z (2003) Necessary and sufficient condition for absolute stability of normal neural networks. Neural Netw 16:1223\u20131227","journal-title":"Neural Netw"},{"key":"888_CR22","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1016\/0893-6080(92)90011-7","volume":"5","author":"K Matsuoka","year":"1992","unstructured":"Matsuoka K (1992) Stability conditions for nonlinear continuous neural networks with asymmetric connection weights. Neural Netw 5:495\u2013500","journal-title":"Neural Netw"},{"key":"888_CR23","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.neunet.2006.06.003","volume":"20","author":"T Chu","year":"2007","unstructured":"Chu T, Zhang C (2007) New necessary and sufficient conditions for absolute stability of neural networks. Neural Netw 20:94\u2013101","journal-title":"Neural Netw"},{"key":"888_CR24","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.neunet.2005.05.005","volume":"19","author":"S Xu","year":"2006","unstructured":"Xu S, Lam J (2006) A new approach to exponential stability analysis of neural networks with time-varying delays. Neural Netw 19:76\u201383","journal-title":"Neural Netw"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-0888-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-012-0888-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-0888-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T02:14:40Z","timestamp":1559096080000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-012-0888-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3,28]]},"references-count":24,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2013,3]]}},"alternative-id":["888"],"URL":"https:\/\/doi.org\/10.1007\/s00521-012-0888-3","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3,28]]}}}