{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T06:52:39Z","timestamp":1774421559091,"version":"3.50.1"},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2018,4,28]],"date-time":"2018-04-28T00:00:00Z","timestamp":1524873600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61633011"],"award-info":[{"award-number":["61633011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61703346"],"award-info":[{"award-number":["61703346"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61374078"],"award-info":[{"award-number":["61374078"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013223","name":"Chongqing Research Program of Basic Research and Frontier Technology","doi-asserted-by":"crossref","award":["cstc2015jcyjBX0052"],"award-info":[{"award-number":["cstc2015jcyjBX0052"]}],"id":[{"id":"10.13039\/501100013223","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012459","name":"Graduate Student Research Innovation Project of Chongqing","doi-asserted-by":"crossref","award":["CYB17076"],"award-info":[{"award-number":["CYB17076"]}],"id":[{"id":"10.13039\/501100012459","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2019,10]]},"DOI":"10.1007\/s00521-018-3498-x","type":"journal-article","created":{"date-parts":[[2018,4,28]],"date-time":"2018-04-28T17:44:45Z","timestamp":1524937485000},"page":"6757-6766","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Global asymptotical stability for a class of non-autonomous impulsive inertial neural networks with unbounded time-varying delay"],"prefix":"10.1007","volume":"31","author":[{"given":"Hongfei","family":"Li","sequence":"first","affiliation":[]},{"given":"Wei","family":"Zhang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6155-4849","authenticated-orcid":false,"given":"Chuandong","family":"Li","sequence":"additional","affiliation":[]},{"given":"Wanli","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,28]]},"reference":[{"key":"3498_CR1","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.neucom.2016.10.012","volume":"222","author":"P Zhang","year":"2017","unstructured":"Zhang P, Li C, Huang T, Chen L, Chen Y (2017a) Forgetting memristor based neuromorphic system for pattern training and recognition. Neurocomputing 222:47\u201353","journal-title":"Neurocomputing"},{"key":"3498_CR2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2017.2691760","author":"C Li","year":"2017","unstructured":"Li C, Yu X, Huang T, He X (2017a) Distributed optimal consensus over resource allocation network and its application to dynamical economic dispatch. IEEE Trans Neural Netw Learning Syst. https:\/\/doi.org\/10.1109\/TNNLS.2017.2691760","journal-title":"IEEE Trans Neural Netw Learning Syst"},{"key":"3498_CR3","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/j.neunet.2015.12.006","volume":"75","author":"H Li","year":"2016","unstructured":"Li H, Jiang H, Hu C (2016) Existence and global exponential stability of periodic solution of memristor-based BAM neural networks with time-varying delays. Neural Netw 75:97\u2013109","journal-title":"Neural Netw"},{"key":"3498_CR4","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2017.2672205","author":"X He","year":"2017","unstructured":"He X, Ho DW, Huang T, Yu J, Abu-Rub H, Li C (2017a) Second-order continuous-time algorithms for economic power dispatch in smart grids. IEEE Trans Systems, Man, and Cybernetics: Systems. https:\/\/doi.org\/10.1109\/TSMC.2017.2672205","journal-title":"IEEE Trans Systems, Man, and Cybernetics: Systems."},{"issue":"6","key":"3498_CR5","doi-asserted-by":"publisher","first-page":"866","DOI":"10.1109\/TNNLS.2012.2192135","volume":"23","author":"T Huang","year":"2012","unstructured":"Huang T, Li C, Duan S, Starzyk JA (2012) Robust exponential stability of uncertain delayed neural networks with stochastic perturbation and impulse effects. IEEE Trans Neural Netw Learn Syst 23(6):866\u2013875","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"1\u20133","key":"3498_CR6","doi-asserted-by":"publisher","first-page":"464","DOI":"10.1016\/0167-2789(86)90152-1","volume":"23","author":"K Babcock","year":"1986","unstructured":"Babcock K, Westervelt R (1986) Stability and dynamics of simple electronic neural networks with added inertia. Phys D Nonlinear Phenom 23(1\u20133):464\u2013469","journal-title":"Phys D Nonlinear Phenom"},{"issue":"7","key":"3498_CR7","doi-asserted-by":"publisher","first-page":"1141","DOI":"10.1109\/TNNLS.2013.2247059","volume":"24","author":"B Liu","year":"2013","unstructured":"Liu B, Lu W, Chen T (2013) Pinning consensus in networks of multiagents via a single impulsive controller. IEEE Trans Neural Netw Learn Syst 24(7):1141\u20131149","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3498_CR8","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1016\/j.neucom.2015.02.052","volume":"161","author":"J Qi","year":"2015","unstructured":"Qi J, Li C, Huang T (2015) Stability of inertial BAM neural network with time-varying delay via impulsive control. Neurocomputing 161:162\u2013167","journal-title":"Neurocomputing"},{"issue":"2","key":"3498_CR9","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1016\/j.jfranklin.2015.10.021","volume":"353","author":"L Zhou","year":"2016","unstructured":"Zhou L, Zhang Y (2016) Global exponential stability of a class of impulsive recurrent neural networks with proportional delays via fixed point theory. J Frankl Inst 353(2):561\u2013575","journal-title":"J Frankl Inst"},{"issue":"6","key":"3498_CR10","doi-asserted-by":"publisher","first-page":"868","DOI":"10.1109\/TNNLS.2012.2236352","volume":"24","author":"X Li","year":"2013","unstructured":"Li X, Song S (2013) Impulsive control for existence, uniqueness, and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays. IEEE Trans Neural Netw Learn Syst 24(6):868\u2013877","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"1","key":"3498_CR11","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/s11063-016-9515-0","volume":"45","author":"C Aouiti","year":"2017","unstructured":"Aouiti C, M\u2019hamdi MS, Touati A (2017) Pseudo almost automorphic solutions of recurrent neural networks with time-varying coefficients and mixed delays. Neural Process Lett 45(1):121\u2013140","journal-title":"Neural Process Lett"},{"issue":"4","key":"3498_CR12","doi-asserted-by":"publisher","first-page":"722","DOI":"10.1002\/mma.3515","volume":"39","author":"X Song","year":"2016","unstructured":"Song X, Zhao P, Xing Z, Peng J (2016) Global asymptotic stability of cnns with impulses and multi-proportional delays. Math Methods Appl Sci 39(4):722\u2013733","journal-title":"Math Methods Appl Sci"},{"issue":"6","key":"3498_CR13","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1007\/s11571-016-9405-1","volume":"10","author":"C Aouiti","year":"2016","unstructured":"Aouiti C (2016a) Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays. Cogn Neurodyn 10(6):573\u2013591","journal-title":"Cogn Neurodyn"},{"issue":"5","key":"3498_CR14","doi-asserted-by":"publisher","first-page":"3486","DOI":"10.1137\/120897341","volume":"51","author":"X Yang","year":"2013","unstructured":"Yang X, Cao J, Yang Z (2013) Synchronization of coupled reaction-diffusion neural networks with time-varying delays via pinning-impulsive controller. SIAM J Control Optim 51(5):3486\u20133510","journal-title":"SIAM J Control Optim"},{"issue":"2","key":"3498_CR15","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1016\/S0893-6080(98)00133-6","volume":"12","author":"Z Guan","year":"1999","unstructured":"Guan Z, Chen G (1999) On delayed impulsive Hopfield neural networks. Neural Netw 12(2):273\u2013280","journal-title":"Neural Netw"},{"key":"3498_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-016-2558-3","author":"C Aouiti","year":"2016","unstructured":"Aouiti C (2016b) Oscillation of impulsive neutral delay generalized high-order Hopfield neural networks. Neural Comput Appl. https:\/\/doi.org\/10.1007\/s00521-016-2558-3","journal-title":"Neural Comput Appl"},{"issue":"6","key":"3498_CR17","doi-asserted-by":"publisher","first-page":"1515","DOI":"10.1016\/j.cnsns.2012.08.032","volume":"18","author":"X Li","year":"2013","unstructured":"Li X, Rakkiyappan R (2013) Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Commun Nonlinear Sci Numer Simul 18(6):1515\u20131523","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"3498_CR18","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1016\/j.neucom.2017.03.045","volume":"245","author":"P Wan","year":"2017","unstructured":"Wan P, Jian J (2017) Global convergence analysis of impulsive inertial neural networks with time-varying delays. Neurocomputing 245:68\u201376","journal-title":"Neurocomputing"},{"key":"3498_CR19","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/j.neunet.2017.01.004","volume":"88","author":"Z Tu","year":"2017","unstructured":"Tu Z, Cao J, Alsaedi A, Alsaadi F (2017) Global dissipativity of memristor-based neutral type inertial neural networks. Neural Netw 88:125\u2013133","journal-title":"Neural Netw"},{"key":"3498_CR20","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1016\/j.neunet.2017.06.006","volume":"94","author":"H Li","year":"2017","unstructured":"Li H, Li C, Huang T (2017b) Periodicity and stability for variable-time impulsive neural networks. Neural Netw 94:24\u201333","journal-title":"Neural Netw"},{"key":"3498_CR21","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1016\/j.automatica.2016.08.009","volume":"76","author":"X Li","year":"2017","unstructured":"Li X, Zhang X, Song S (2017c) Effect of delayed impulses on input-to-state stability of nonlinear systems. Automatica 76:378\u2013382","journal-title":"Automatica"},{"issue":"4","key":"3498_CR22","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/S0167-2789(97)00008-0","volume":"105","author":"D Wheeler","year":"1997","unstructured":"Wheeler D, Schieve W (1997) Stability and chaos in an inertial two-neuron system. Phys D Nonlinear Phenom 105(4):267\u2013284","journal-title":"Phys D Nonlinear Phenom"},{"issue":"4","key":"3498_CR23","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1085\/jgp.55.4.497","volume":"55","author":"A Mauro","year":"1970","unstructured":"Mauro A, Conti F, Dodge F, Schor R (1970) Subthreshold behavior and phenomenological impedance of the squid giant axon. J Gen Physiol 55(4):497\u2013523","journal-title":"J Gen Physiol"},{"issue":"3","key":"3498_CR24","doi-asserted-by":"publisher","first-page":"809","DOI":"10.1109\/TCYB.2016.2523541","volume":"47","author":"X He","year":"2017","unstructured":"He X, Huang T, Yu J, Li C, Li C (2017b) An inertial projection neural network for solving variational inequalities. IEEE Trans Cybern 47(3):809\u2013814","journal-title":"IEEE Trans Cybern"},{"key":"3498_CR25","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2017.03.012","author":"W Zhang","year":"2017","unstructured":"Zhang W, Huang T, He X, Li C (2017) Global exponential stability of inertial memristor-based neural networks with time-varying delayed and impulses. Neural Netw. https:\/\/doi.org\/10.1016\/j.neunet.2017.03.012","journal-title":"Neural Netw"},{"key":"3498_CR26","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.neunet.2015.12.001","volume":"75","author":"Z Tu","year":"2016","unstructured":"Tu Z, Cao J, Hayat T (2016) Matrix measure based dissipativity analysis for inertial delayed uncertain neural networks. Neural Netw 75:47\u201355","journal-title":"Neural Netw"},{"key":"3498_CR27","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/j.amc.2015.04.103","volume":"265","author":"S Esteves","year":"2015","unstructured":"Esteves S, Oliveira J (2015) Global asymptotic stability of nonautonomous Cohen\u2013Grossberg neural network models with infinite delays. Appl Math Comput 265:333\u2013346","journal-title":"Appl Math Comput"},{"key":"3498_CR28","doi-asserted-by":"publisher","first-page":"352","DOI":"10.1016\/j.neucom.2016.01.046","volume":"191","author":"B Liu","year":"2016","unstructured":"Liu B (2016) Global exponential convergence of non-autonomous cellular neural networks with multi-proportional delays. Neurocomputing 191:352\u2013355","journal-title":"Neurocomputing"},{"issue":"3\u20134","key":"3498_CR29","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1016\/j.camwa.2005.10.009","volume":"51","author":"Z Zhao","year":"2006","unstructured":"Zhao Z, Song Q, Zhang J (2006) Exponential periodicity and stability of neural networks with reaction-diffusion terms and both variable and unbounded delays. Comput Math Appl 51(3\u20134):475\u2013486","journal-title":"Comput Math Appl"},{"issue":"1","key":"3498_CR30","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1109\/TNNLS.2011.2178444","volume":"23","author":"B Ammar","year":"2012","unstructured":"Ammar B, Chrif F, Alimi A (2012) Existence and uniqueness of pseudo almost-periodic solutions of recurrent neural networks with time-varying coefficients and mixed delays. IEEE Trans Neural Netw Learn Syst 23(1):109\u2013118","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3498_CR31","first-page":"1","volume":"6","author":"A Zhang","year":"2017","unstructured":"Zhang A (2017) Almost periodic solutions for SICNNs with neutral type proportional delays and D, operators. Neural Process Let 6:1\u201314","journal-title":"Neural Process Let"},{"key":"3498_CR32","doi-asserted-by":"crossref","first-page":"2133","DOI":"10.1109\/CDC.1998.758651","volume":"2","author":"A Bemporad","year":"1998","unstructured":"Bemporad A (1998) Predictive control of teleoperated constrained systems with unbounded communication delays. Proc IEEE Conf Decis Control 2:2133\u20132138","journal-title":"Proc IEEE Conf Decis Control"},{"issue":"3","key":"3498_CR33","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1109\/TCSII.2004.842047","volume":"52\u2013II","author":"Z Zeng","year":"2005","unstructured":"Zeng Z, Wang J, Liao X (2005) Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays. IEEE Trans Circuits Syst 52\u2013II(3):168\u2013173","journal-title":"IEEE Trans Circuits Syst"},{"issue":"10","key":"3498_CR34","doi-asserted-by":"publisher","first-page":"2662","DOI":"10.1109\/TAC.2012.2190207","volume":"57","author":"M Koo","year":"2012","unstructured":"Koo M, Choi H, Lim J (2012) Output feedback regulation of a chain of integrators with an unbounded time-varying delay in the input. IEEE Trans Automat Contr 57(10):2662\u20132667","journal-title":"IEEE Trans Automat Contr"},{"issue":"9","key":"3498_CR35","doi-asserted-by":"publisher","first-page":"1508","DOI":"10.1109\/TNN.2011.2160987","volume":"22","author":"B Liu","year":"2011","unstructured":"Liu B, Lu W, Chen T (2011) Generalized Halanay inequalities and their applications to neural networks with unbounded time-varying delays. IEEE Trans Neural Netw 22(9):1508\u20131513","journal-title":"IEEE Trans Neural Netw"},{"key":"3498_CR36","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2016.2533392","author":"T Chen","year":"2017","unstructured":"Chen T, Liu X (2017) $$\\mu$$ \u03bc -stability of nonlinear positive systems with unbounded time-varying delays. IEEE Trans Neural Netw Learn Syst. https:\/\/doi.org\/10.1109\/TNNLS.2016.2533392","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3498_CR37","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2669580","author":"X Li","year":"2017","unstructured":"Li X, Cao J (2017) An impulsive delay inequality involving unbounded time-varying delay and applications. IEEE Trans Automat Contr. https:\/\/doi.org\/10.1109\/TAC.2017.2669580","journal-title":"IEEE Trans Automat Contr"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3498-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-018-3498-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3498-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,1]],"date-time":"2020-11-01T10:36:16Z","timestamp":1604226976000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-018-3498-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,28]]},"references-count":37,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2019,10]]}},"alternative-id":["3498"],"URL":"https:\/\/doi.org\/10.1007\/s00521-018-3498-x","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,28]]},"assertion":[{"value":"16 September 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 April 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 April 2018","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 there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}}]}}