{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T14:13:11Z","timestamp":1770905591123,"version":"3.50.1"},"reference-count":44,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"3","license":[{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11971412"],"award-info":[{"award-number":["11971412"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Scientific Research Fund of Hunan Provincial Education Department","award":["20A484"],"award-info":[{"award-number":["20A484"]}]},{"DOI":"10.13039\/501100010083","name":"Hunan Provincial Innovation Foundation For Postgraduate","doi-asserted-by":"publisher","award":["CX20210604"],"award-info":[{"award-number":["CX20210604"]}],"id":[{"id":"10.13039\/501100010083","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Artif. Intell."],"published-print":{"date-parts":[[2024,3]]},"DOI":"10.1109\/tai.2022.3217207","type":"journal-article","created":{"date-parts":[[2022,11,3]],"date-time":"2022-11-03T19:14:32Z","timestamp":1667502872000},"page":"1067-1076","source":"Crossref","is-referenced-by-count":7,"title":["Neural Network Methods Based on Efficient Optimization Algorithms for Solving Impulsive Differential Equations"],"prefix":"10.1109","volume":"5","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7781-3198","authenticated-orcid":false,"given":"Baixue","family":"Xing","sequence":"first","affiliation":[{"name":"School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3161-8327","authenticated-orcid":false,"given":"Hongliang","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Long","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Computational Science and Electronics, Hunan Institute of Engineering, Xiangtan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","volume-title":"Systems With Impulsive Effect: Stability, Theory and Applications","author":"Bainov","year":"1989"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1142\/0906"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1142\/WSSNSA"},{"issue":"2","key":"ref4","first-page":"233","article-title":"On the stability of motion in the presence of impulses","volume":"1","author":"Milman","year":"1960","journal-title":"Sibirskii Matematicheskii Zhurnal"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/S1007-5704(99)90056-4"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(00)85017-8"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/723893"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-9274(99)00048-3"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.03.007"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.03.044"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2007.09.010"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2015.1099632"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/BF02551274"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-017-9761-9"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/72.712178"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1718942115"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s40304-017-0117-6"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.114129"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.11.058"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-016-9551-9"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-020-10232-9"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/18M1229845"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.07.021"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s12065-020-00481-x"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1142\/9789811280306_0018"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.07.048"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.spjpm.2015.07.005"},{"issue":"1","key":"ref28","doi-asserted-by":"crossref","first-page":"101","DOI":"10.4208\/aamm.OA-2019-0281","article-title":"Legendre neural network for solving linear variable coefficients delay differential-algebraic equations with weak discontinuities","volume":"13","author":"Liu","year":"2021","journal-title":"Adv. Appl. Math. Mech."},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-021-10543-5"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2005.12.126"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s40304-018-0127-z"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.08.029"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.10.045"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.4208\/cicp.OA-2020-0191"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110884"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1088\/978-0-7503-3487-7ch3"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-16-4713-0_6"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/s44196-021-00057-2"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1002\/widm.1461"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-022-01939-z"},{"key":"ref41","article-title":"An efficient greedy training algorithm for neural networks and applications in PDEs","author":"Hao","year":"2021"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/BF01589116"},{"key":"ref43","article-title":"Convergence analysis of multistep methods for impulsive differential equations","author":"Liu","year":"2019"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2020.12.015"}],"container-title":["IEEE Transactions on Artificial Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9078688\/10478748\/09928576.pdf?arnumber=9928576","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,23]],"date-time":"2025-08-23T01:09:02Z","timestamp":1755911342000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9928576\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3]]},"references-count":44,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1109\/tai.2022.3217207","relation":{},"ISSN":["2691-4581"],"issn-type":[{"value":"2691-4581","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,3]]}}}