{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T13:55:13Z","timestamp":1778594113157,"version":"3.51.4"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,5,13]],"date-time":"2017-05-13T00:00:00Z","timestamp":1494633600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1007\/s00521-017-2980-1","type":"journal-article","created":{"date-parts":[[2017,5,12]],"date-time":"2017-05-12T23:51:57Z","timestamp":1494633117000},"page":"65-78","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["On passivity and robust passivity for discrete-time stochastic neural networks with randomly occurring mixed time delays"],"prefix":"10.1007","volume":"31","author":[{"given":"Jiahui","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongli","family":"Dong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zidong","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nan","family":"Hou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fuad E.","family":"Alsaadi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,13]]},"reference":[{"key":"2980_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.neunet.2014.02.008","volume":"54","author":"S Arik","year":"2014","unstructured":"Arik S (2014) An improved robust stability result for uncertain neural networks with multiple time delays. Neural Netw 54:1\u201310","journal-title":"Neural Netw"},{"issue":"6","key":"2980_CR2","doi-asserted-by":"publisher","first-page":"1045","DOI":"10.1109\/TNNLS.2013.2287279","volume":"25","author":"S Arik","year":"2014","unstructured":"Arik S (2014) New criteria for global robust stability of delayed neural networks with norm-bounded uncertainties. IEEE Trans Neural Netw Learn Syst 25(6):1045\u20131052","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"1","key":"2980_CR3","doi-asserted-by":"publisher","first-page":"732","DOI":"10.1016\/j.eswa.2011.07.066","volume":"39","author":"P Balasubramaniam","year":"2012","unstructured":"Balasubramaniam P, Nagamani G (2012) Global robust passivity analysis for stochastic fuzzy interval neural networks with time-varying delays. Exp Syst Appl 39(1):732\u2013742","journal-title":"Exp Syst Appl"},{"key":"2980_CR4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777","volume-title":"Linear matrix inequalities in system and control theory","author":"S Boyd","year":"1994","unstructured":"Boyd S, Ghaoui L E, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, Philadelphia"},{"issue":"14","key":"2980_CR5","doi-asserted-by":"publisher","first-page":"1242","DOI":"10.1016\/j.physleta.2009.01.047","volume":"373","author":"B Chen","year":"2009","unstructured":"Chen B, Li H, Lin C, Zhou Q (2009) Passivity analysis for uncertain neural networks with discrete and distributed time varying delays. Phys Lett A 373(14):1242\u20131248","journal-title":"Phys Lett A"},{"issue":"7","key":"2980_CR6","doi-asserted-by":"publisher","first-page":"Art. No. 070107","DOI":"10.1007\/s11432-016-5579-8","volume":"59","author":"H Chen","year":"2016","unstructured":"Chen H, Liang J, Wang Z (2016) Pinning controllability of autonomous Boolean control networks. Sci China Inf Sci 59(7):Art. No. 070107. doi:\n                    10.1007\/s11432-016-5579-8","journal-title":"Sci China Inf Sci"},{"issue":"4","key":"2980_CR7","doi-asserted-by":"publisher","first-page":"1299","DOI":"10.1137\/060655110","volume":"46","author":"H Gao","year":"2007","unstructured":"Gao H, Chen T, Chai T (2007) Passivity and passification for networked control systems. SIAM J Control Optim 46(4):1299\u20131322","journal-title":"SIAM J Control Optim"},{"issue":"8","key":"2980_CR8","doi-asserted-by":"publisher","first-page":"1104","DOI":"10.1109\/TCSI.2002.801284","volume":"49","author":"S Hu","year":"2002","unstructured":"Hu S, Wang J (2002) Global stability of a class of discrete-time recurrent neural networks. IEEE Trans Circ Syst I 49(8):1104\u20131117","journal-title":"IEEE Trans Circ Syst I"},{"issue":"8","key":"2980_CR9","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1109\/TCSII.2005.849023","volume":"52","author":"C Li","year":"2005","unstructured":"Li C, Liao X (2005) Passivity analysis of neural networks with time delay. IEEE Trans Circuits Syst Express Briefs 52(8):471\u2013475","journal-title":"IEEE Trans Circuits Syst Express Briefs"},{"issue":"4\u20136","key":"2980_CR10","doi-asserted-by":"publisher","first-page":"3291","DOI":"10.1016\/j.neucom.2010.04.019","volume":"73","author":"H Li","year":"2010","unstructured":"Li H, Wang C, Shi P, Gao H (2010) New pssivity results for uncertain discrete-time stochastic neural networks with mixed time delays. Neurocomputing 73(4\u20136):3291\u20133299","journal-title":"Neurocomputing"},{"key":"2980_CR11","doi-asserted-by":"publisher","first-page":"912","DOI":"10.1016\/j.neucom.2015.10.017","volume":"174","author":"Q Li","year":"2016","unstructured":"Li Q, Shen B, Liu Y, Alsaadi F E (2016) Event-triggered \n                    \n                      \n                    \n                    \n                      \n                        \n                          \n                            H\n                          \n                          \n                            \u221e\n                          \n                        \n                      \n                    \n                    $H_{\\infty }$\n                   state estimation for discrete-time stochastic genetic regulatory networks with Markovian jumping parameters and time-varying delays. Neurocomputing 174:912\u2013920","journal-title":"Neurocomputing"},{"key":"2980_CR12","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1016\/j.neucom.2016.01.035","volume":"191","author":"R Li","year":"2016","unstructured":"Li R, Cao J, Tu Z (2016) Passivity analysis of memristive neural networks with probabilistic time-varying delays. Neurocomputing 191:249\u2013262","journal-title":"Neurocomputing"},{"issue":"2","key":"2980_CR13","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1109\/TCYB.2015.2409373","volume":"46","author":"W Li","year":"2016","unstructured":"Li W, Wei G, Han F, Liu Y (2016) Weighted average consensus-based unscented Kalman filtering. IEEE Trans Cybern 46(2):558\u2013567","journal-title":"IEEE Trans Cybern"},{"issue":"5","key":"2980_CR14","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1080\/03081079.2015.1106737","volume":"45","author":"D Liu","year":"2016","unstructured":"Liu D, Liu Y, Alsaadi F E (2016) A new framework for output feedback controller design for a class of discrete-time stochastic nonlinear system with quantization and missing measurement. Int J Gen Syst 45(5):517\u2013531","journal-title":"Int J Gen Syst"},{"key":"2980_CR15","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1016\/j.neucom.2016.05.060","volume":"207","author":"S Liu","year":"2016","unstructured":"Liu S, Wei G, Song Y, Liu Y (2016) Extended Kalman filtering for stochastic nonlinear systems with randomly occurring cyber attacks. Neurocomputing 207:708\u2013716","journal-title":"Neurocomputing"},{"key":"2980_CR16","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1016\/j.neucom.2015.11.046","volume":"177","author":"Y Liu","year":"2016","unstructured":"Liu Y, Liu W, Obaid M A, Abbas I A (2016) Exponential stability of Markovian jumping Cohen-Grossberg neural networks with mixed mode-dependent time-delays. Neurocomputing 177:409\u2013415","journal-title":"Neurocomputing"},{"issue":"5","key":"2980_CR17","doi-asserted-by":"publisher","first-page":"1314","DOI":"10.1109\/TSMCB.2008.925745","volume":"38","author":"Y Liu","year":"2008","unstructured":"Liu Y, Wang Z, Liang J, Liu X (2008) Synchronization and state estimation for discrete-time complex networks with distributed delays. IEEE Trans Syst Man Cybern B 38(5):1314\u20131325","journal-title":"IEEE Trans Syst Man Cybern B"},{"issue":"5","key":"2980_CR18","doi-asserted-by":"publisher","first-page":"667","DOI":"10.1016\/j.neunet.2005.03.015","volume":"19","author":"Y Liu","year":"2006","unstructured":"Liu Y, Wang Z, Liu X (2006) Global exponential stability of generalized recurrent neural networks with discrete and distributed delays. Neural Netw 19(5):667\u2013675","journal-title":"Neural Netw"},{"issue":"5-6","key":"2980_CR19","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1016\/j.physleta.2006.10.073","volume":"362","author":"Y Liu","year":"2006","unstructured":"Liu Y, Wang Z, Serrano A, Liu X (2006) Discrete-time recurrent neural networks with time-varying delays: exponential stability analysis. Phys Lett A 362(5-6):480\u2013488","journal-title":"Phys Lett A"},{"issue":"4\u20136","key":"2980_CR20","doi-asserted-by":"publisher","first-page":"1071","DOI":"10.1016\/j.neucom.2006.09.007","volume":"70","author":"X Lou","year":"2007","unstructured":"Lou X, Cui B (2007) Passivity analysis of integro-differential neural networks with time-varying delays. Neurocomputing 70(4\u20136):1071\u20131078","journal-title":"Neurocomputing"},{"key":"2980_CR21","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1016\/j.neunet.2016.08.013","volume":"84","author":"L Sheng","year":"2016","unstructured":"Sheng L, Wang Z, Tian E, Alsaadi F E (2016) Delay-distribution-dependent \n                    \n                      \n                    \n                    \n                      \n                        \n                          \n                            H\n                          \n                          \n                            \u221e\n                          \n                        \n                      \n                    \n                    $H_{\\infty }$\n                   state estimation for delayed neural networks with (x,v)-dependent noises and fading channels. Neural Netw 84:102\u2013112","journal-title":"Neural Netw"},{"issue":"5","key":"2980_CR22","doi-asserted-by":"publisher","first-page":"648","DOI":"10.1080\/03081079.2015.1106732","volume":"45","author":"H Shu","year":"2016","unstructured":"Shu H, Zhang S, Shen B, Liu Y (2016) Unknown input and state estimation for linear discrete-time systems with missing measurements and correlated noises. Int J Gen Syst 45(5):648\u2013 661","journal-title":"Int J Gen Syst"},{"issue":"7\u20139","key":"2980_CR23","doi-asserted-by":"publisher","first-page":"1782","DOI":"10.1016\/j.neucom.2008.05.006","volume":"72","author":"Q Song","year":"2009","unstructured":"Song Q, Liang J, Wang Z (2009) Passivity analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 72(7\u20139):1782\u20131788","journal-title":"Neurocomputing"},{"key":"2980_CR24","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/j.physleta.2007.03.088","volume":"368","author":"Q Song","year":"2007","unstructured":"Song Q, Wang Z (2007) A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays. Phys Lett A 368:134\u2013145","journal-title":"Phys Lett A"},{"key":"2980_CR25","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1016\/j.nonrwa.2006.11.015","volume":"9","author":"Q Song","year":"2008","unstructured":"Song Q, Zhang J (2008) Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays. Nonlinear Anal: Real World Appl 9:500\u2013510","journal-title":"Nonlinear Anal: Real World Appl"},{"key":"2980_CR26","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/j.neucom.2016.02.051","volume":"194","author":"MV Thuan","year":"2016","unstructured":"Thuan M V, Trinh H, Hien L V (2016) New inequality-based approach to passivity analysis of neural networks with interval time-varying delay. Neurocomputing 194:301\u2013307","journal-title":"Neurocomputing"},{"issue":"6","key":"2980_CR27","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1109\/TCSI.2006.874179","volume":"53","author":"L Wang","year":"2006","unstructured":"Wang L, Xu Z (2006) Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks. IEEE Trans Circuits Syst I 53(6):1373\u20131380","journal-title":"IEEE Trans Circuits Syst I"},{"key":"2980_CR28","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/j.neucom.2016.02.020","volume":"193","author":"C Wen","year":"2016","unstructured":"Wen C, Cai Y, Liu Y, Wen C (2016) A reduced-order approach to filtering for systems with linear equality constraints. Neurocomputing 193:219\u2013226","journal-title":"Neurocomputing"},{"issue":"9","key":"2980_CR29","doi-asserted-by":"publisher","first-page":"2120","DOI":"10.1016\/j.automatica.2009.05.014","volume":"45","author":"L Wu","year":"2009","unstructured":"Wu L, Zheng W (2009) Passivity-based sliding mode control of uncertain singular time-delay systems. Automatica 45(9):2120\u20132127","journal-title":"Automatica"},{"issue":"6","key":"2980_CR30","doi-asserted-by":"publisher","first-page":"1522","DOI":"10.1109\/TSMCB.2011.2157140","volume":"41","author":"Z Wu","year":"2011","unstructured":"Wu Z, Shi P, Su H, Chu J (2011) Delay-dependent stability analysis for switched neural networks with time-varying delay. IEEE Trans Syst Man Cybern B Cybern 41(6):1522\u2013 1530","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"issue":"1","key":"2980_CR31","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1109\/TCSI.2002.807519","volume":"50","author":"W Yu","year":"2003","unstructured":"Yu W (2003) Passivity analysis for dynamic multilayer neuro identifier. IEEE Trans Circuits Syst I 50 (1):173\u2013178","journal-title":"IEEE Trans Circuits Syst I"},{"issue":"7","key":"2980_CR32","doi-asserted-by":"publisher","first-page":"1299","DOI":"10.1109\/TNN.2008.2000166","volume":"19","author":"D Yue","year":"2008","unstructured":"Yue D, Zhang Y, Tian E, Peng C (2008) Delay-distribution-dependent exponential stability criteria for discrete-time recurrent neural networks with stochastic delay. IEEE Trans Neural Netw 19(7):1299\u20131306","journal-title":"IEEE Trans Neural Netw"},{"issue":"6","key":"2980_CR33","doi-asserted-by":"publisher","first-page":"785","DOI":"10.1109\/TCYB.2013.2272399","volume":"44","author":"H Zeng","year":"2014","unstructured":"Zeng H, He Y, Wu M, Xiao H (2014) Improved conditions for passivity of neural networks with a time-varying delay. IEEE Tran Cybern 44(6):785\u2013792","journal-title":"IEEE Tran Cybern"},{"issue":"5","key":"2980_CR34","doi-asserted-by":"publisher","first-page":"730","DOI":"10.1016\/j.neucom.2010.09.020","volume":"74","author":"H Zeng","year":"2011","unstructured":"Zeng H, He Y, Wu M, Xiao S (2011) Passivity analysis for neural networks with a time-varying delay. Neurocomputing 74(5):730\u2013734","journal-title":"Neurocomputing"},{"key":"2980_CR35","doi-asserted-by":"publisher","first-page":"1092","DOI":"10.1016\/j.neucom.2014.07.024","volume":"149","author":"J Zeng","year":"2015","unstructured":"Zeng J, Park H, Shen H (2015) Robust passivity analysis of neural networks with discrete and distributed delays. Neurocomputing 149:1092\u20131097","journal-title":"Neurocomputing"},{"issue":"11","key":"2980_CR36","doi-asserted-by":"publisher","first-page":"Art. No. 112204","DOI":"10.1007\/s11432-016-0280-9","volume":"59","author":"N Zeng","year":"2016","unstructured":"Zeng N, Wang Z, Zhang H (2016) Inferring nonlinear lateral flow immunoassay state-space models via an unscented Kalman filter. Sci China Inf Sci 59(11):Art. No. 112204. doi:\n                    10.1007\/s11432-016-0280-9","journal-title":"Sci China Inf Sci"},{"key":"2980_CR37","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1016\/j.neucom.2016.08.020","volume":"216","author":"J Zhang","year":"2016","unstructured":"Zhang J, Ma L, Liu Y (2016) Passivity analysis for discrete-time neural networks with mixed time-delays and randomly occurring quantization effects. Neurocomputing 216:657\u2013665","journal-title":"Neurocomputing"},{"issue":"3","key":"2980_CR38","first-page":"768","volume":"216","author":"Y Zhang","year":"2010","unstructured":"Zhang Y, Xu S, Chu Y, Lu J (2010) Robust global synchronization of complex networks with neutral-type delayed nodes. Appl Math Comput 216(3):768\u2013778","journal-title":"Appl Math Comput"},{"issue":"1","key":"2980_CR39","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1016\/j.physleta.2016.10.002","volume":"381","author":"W Zhang","year":"2017","unstructured":"Zhang W, Wang Z, Liu Y, Ding D, Alsaadi F E (2017) Event-based state estimation for a class of complex networks with time-varying delays: a comparison principle approach. Phys Lett A 381(1): 10\u201318","journal-title":"Phys Lett A"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-017-2980-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-2980-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-2980-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,2]],"date-time":"2019-02-02T04:17:32Z","timestamp":1549081052000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-017-2980-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,13]]},"references-count":39,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["2980"],"URL":"https:\/\/doi.org\/10.1007\/s00521-017-2980-1","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,13]]},"assertion":[{"value":"19 October 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 March 2017","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 May 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}