{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T21:31:41Z","timestamp":1772832701996,"version":"3.50.1"},"reference-count":45,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T00:00:00Z","timestamp":1764547200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T00:00:00Z","timestamp":1764547200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"funder":[{"DOI":"10.13039\/501100017610","name":"Shenzhen Science and Technology Innovation Program","doi-asserted-by":"publisher","award":["JCYJ20230807093504008"],"award-info":[{"award-number":["JCYJ20230807093504008"]}],"id":[{"id":"10.13039\/501100017610","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100017610","name":"Shenzhen Science and Technology Innovation Program","doi-asserted-by":"publisher","award":["KQTD20221101093557010"],"award-info":[{"award-number":["KQTD20221101093557010"]}],"id":[{"id":"10.13039\/501100017610","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["ISA Transactions"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1016\/j.isatra.2025.08.022","type":"journal-article","created":{"date-parts":[[2025,8,12]],"date-time":"2025-08-12T06:31:27Z","timestamp":1754980287000},"page":"513-528","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"PA","title":["Design and complexity analysis of marginalized Gaussian filtering for nonlinear systems with multi-step random measurement delays and packet dropouts"],"prefix":"10.1016","volume":"167","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-9643-4688","authenticated-orcid":false,"given":"Yuxin","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4343-862X","authenticated-orcid":false,"given":"Yunqi","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5551-5202","authenticated-orcid":false,"given":"Zhibin","family":"Yan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-8560-7835","authenticated-orcid":false,"given":"Zheyuan","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.isatra.2025.08.022_bib0005","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/j.isatra.2023.02.015","article-title":"Iteratively distributed instrumental variable-based pseudo-linear information filter for angle-only tracking","volume":"138","author":"Yang","year":"2023","journal-title":"ISA Trans"},{"key":"10.1016\/j.isatra.2025.08.022_bib0010","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1016\/j.isatra.2021.09.014","article-title":"Intelligent trigonometric particle filter for visual tracking","volume":"128","author":"Nenavath","year":"2022","journal-title":"ISA Trans"},{"key":"10.1016\/j.isatra.2025.08.022_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2022.110724","article-title":"Robustification of stabilizing controllers for Ode-pde-ode systems: a filtering approach","volume":"147","author":"Auriol","year":"2023","journal-title":"Automatica"},{"issue":"10","key":"10.1016\/j.isatra.2025.08.022_bib0020","doi-asserted-by":"crossref","first-page":"5456","DOI":"10.1109\/TAC.2021.3116180","article-title":"Suboptimal filtering over sensor networks with random communication","volume":"67","author":"Tanwani","year":"2022","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.isatra.2025.08.022_bib0025","series-title":"Bayesian filtering and smoothing","author":"S\u00e4rkk\u00e4","year":"2023"},{"issue":"Series D","key":"10.1016\/j.isatra.2025.08.022_bib0030","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1115\/1.3662552","article-title":"A new approach to linear filtering and prediction problems","volume":"82","author":"Kalman","year":"1960","journal-title":"Trans ASME J Basic Eng"},{"key":"10.1016\/j.isatra.2025.08.022_bib0035","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2023.111114","article-title":"Novel pseudo-linear kalman filtering for 3D angle-only tracking in the presence of observer\u2019s location errors","volume":"155","author":"Yang","year":"2023","journal-title":"Automatica"},{"key":"10.1016\/j.isatra.2025.08.022_bib0040","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/j.isatra.2015.01.009","article-title":"Robust evolutionary particle filter","volume":"57","author":"Havangi","year":"2015","journal-title":"ISA Trans"},{"issue":"3","key":"10.1016\/j.isatra.2025.08.022_bib0045","doi-asserted-by":"crossref","first-page":"1918","DOI":"10.1109\/TAC.2022.3172165","article-title":"A progressive Bayesian filtering framework for nonlinear systems with heavy-tailed noises","volume":"68","author":"Zhang","year":"2022","journal-title":"IEEE Trans Autom Control"},{"issue":"12","key":"10.1016\/j.isatra.2025.08.022_bib0050","doi-asserted-by":"crossref","first-page":"6956","DOI":"10.1109\/TAC.2022.3185007","article-title":"Degeneracy-free particle filter: ensemble kalman smoother multiple distribution estimation filter","volume":"67","author":"Murata","year":"2022","journal-title":"IEEE Trans Autom Control"},{"issue":"5","key":"10.1016\/j.isatra.2025.08.022_bib0055","doi-asserted-by":"crossref","first-page":"3539","DOI":"10.1109\/TAES.2021.3074200","article-title":"A Gaussian filtering method for multitarget tracking with nonlinear\/non-gaussian measurements","volume":"57","author":"Garc\u00eda-Fern\u00e1ndez","year":"2021","journal-title":"IEEE Trans Aerosp Electron Syst"},{"key":"10.1016\/j.isatra.2025.08.022_bib0060","doi-asserted-by":"crossref","DOI":"10.1016\/j.sigpro.2024.109578","article-title":"A Gaussian approximation filter for nonlinear systems with compound noises","volume":"224","author":"Yin","year":"2024","journal-title":"Signal Process"},{"key":"10.1016\/j.isatra.2025.08.022_bib0065","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.isatra.2019.02.011","article-title":"Sensors incipient fault detection and isolation of nuclear power plant using extended Kalman filter and kullback\u2013leibler divergence","volume":"92","author":"Gautam","year":"2019","journal-title":"ISA Trans"},{"key":"10.1016\/j.isatra.2025.08.022_bib0070","doi-asserted-by":"crossref","DOI":"10.1016\/j.sigpro.2020.107533","article-title":"Design of a robust central difference kalman filter in the presence of uncertainties and unknown measurement errors","volume":"172","author":"Ebrahimi","year":"2020","journal-title":"Signal Process"},{"issue":"5","key":"10.1016\/j.isatra.2025.08.022_bib0075","doi-asserted-by":"crossref","first-page":"1308","DOI":"10.1109\/JAS.2020.1003303","article-title":"Major development under Gaussian filtering since unscented Kalman filter","volume":"7","author":"Singh","year":"2020","journal-title":"IEEE\/CAA J Autom Sin"},{"issue":"3","key":"10.1016\/j.isatra.2025.08.022_bib0080","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1109\/JPROC.2003.823141","article-title":"Unscented filtering and nonlinear estimation","volume":"92","author":"Julier","year":"2004","journal-title":"Proc IEEE"},{"issue":"5","key":"10.1016\/j.isatra.2025.08.022_bib0085","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1109\/JPROC.2007.894705","article-title":"Discrete-time nonlinear filtering algorithms using gauss\u2013hermite quadrature","volume":"95","author":"Arasaratnam","year":"2007","journal-title":"Proc IEEE"},{"issue":"7\u20138","key":"10.1016\/j.isatra.2025.08.022_bib0090","doi-asserted-by":"crossref","first-page":"4441","DOI":"10.1016\/j.apm.2015.11.035","article-title":"Multiple sparse-grid gauss\u2013hermite filtering","volume":"40","author":"Radhakrishnan","year":"2016","journal-title":"Appl Math Model"},{"issue":"6","key":"10.1016\/j.isatra.2025.08.022_bib0095","doi-asserted-by":"crossref","first-page":"1254","DOI":"10.1109\/TAC.2009.2019800","article-title":"Cubature Kalman filters","volume":"54","author":"Arasaratnam","year":"2009","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.isatra.2025.08.022_bib0100","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.isatra.2023.03.043","article-title":"A robust cubature kalman filter for nonlinear systems subject to randomly occurring measurement anomalies without a priori statistic","volume":"139","author":"Fu","year":"2023","journal-title":"ISA Trans"},{"issue":"1","key":"10.1016\/j.isatra.2025.08.022_bib0105","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1109\/TAC.2014.2322478","article-title":"Relations between sparse-grid quadrature rule and spherical-radial cubature rule in nonlinear Gaussian estimation","volume":"60","author":"Jia","year":"2015","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"10.1016\/j.isatra.2025.08.022_bib0110","doi-asserted-by":"crossref","first-page":"3430","DOI":"10.1109\/JSEN.2021.3139641","article-title":"Distributed state fusion using sparse-grid quadrature filter with application to Ins\/cns\/gnss integration","volume":"22","author":"Gao","year":"2022","journal-title":"IEEE Sens J"},{"issue":"4","key":"10.1016\/j.isatra.2025.08.022_bib0115","doi-asserted-by":"crossref","first-page":"1792","DOI":"10.1109\/TAC.2019.2934389","article-title":"A set-membership approach to event-triggered filtering for general nonlinear systems over sensor networks","volume":"65","author":"Ding","year":"2020","journal-title":"IEEE Trans Autom Control"},{"issue":"11","key":"10.1016\/j.isatra.2025.08.022_bib0120","doi-asserted-by":"crossref","first-page":"2578","DOI":"10.1109\/TIM.2016.2584378","article-title":"A precise real-time delay calibration method for navigation satellite transceiver","volume":"65","author":"Xiao","year":"2016","journal-title":"IEEE Trans Instrum Meas"},{"issue":"7","key":"10.1016\/j.isatra.2025.08.022_bib0125","doi-asserted-by":"crossref","first-page":"3946","DOI":"10.1109\/JSEN.2019.2959663","article-title":"Modified re-iterated Kalman filter for handling delayed and lost measurements in power system state estimation","volume":"20","author":"Mohammed","year":"2020","journal-title":"IEEE Sens J"},{"issue":"2","key":"10.1016\/j.isatra.2025.08.022_bib0130","first-page":"1375","article-title":"Extended and unscented filtering algorithms using one-step randomly delayed observations","volume":"190","author":"Hermoso-Carazo","year":"2007","journal-title":"Appl Math Comput"},{"issue":"4","key":"10.1016\/j.isatra.2025.08.022_bib0135","doi-asserted-by":"crossref","first-page":"976","DOI":"10.1016\/j.automatica.2013.01.012","article-title":"Gaussian filter for nonlinear systems with one-step randomly delayed measurements","volume":"49","author":"Wang","year":"2013","journal-title":"Automatica"},{"issue":"20","key":"10.1016\/j.isatra.2025.08.022_bib0140","doi-asserted-by":"crossref","first-page":"9271","DOI":"10.1109\/JSEN.2019.2926483","article-title":"Gaussian filter for nonlinear networked systems with synchronously correlated noises and one-step randomly delayed measurements and multiple packet dropouts","volume":"19","author":"Zhao","year":"2019","journal-title":"IEEE Sens J"},{"key":"10.1016\/j.isatra.2025.08.022_bib0145","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/j.isatra.2023.01.033","article-title":"Design of robust Gaussian approximate filter and smoother with latency probability identification","volume":"137","author":"Jiang","year":"2023","journal-title":"ISA Trans"},{"issue":"1","key":"10.1016\/j.isatra.2025.08.022_bib0150","first-page":"122","article-title":"A general framework solution to Gaussian filter with multiple-step randomly-delayed measurements","volume":"41","author":"Zhang","year":"2015","journal-title":"Acta Autom Sinica"},{"issue":"1","key":"10.1016\/j.isatra.2025.08.022_bib0155","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1109\/TAC.2016.2531418","article-title":"A modified Bayesian filter for randomly delayed measurements","volume":"62","author":"Singh","year":"2017","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.isatra.2025.08.022_bib0160","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.automatica.2019.05.025","article-title":"Bayesian filter for nonlinear systems with randomly delayed and lost measurements","volume":"107","author":"Esmzad","year":"2019","journal-title":"Automatica"},{"issue":"3","key":"10.1016\/j.isatra.2025.08.022_bib0165","doi-asserted-by":"crossref","first-page":"289","DOI":"10.3390\/aerospace10030289","article-title":"A multiple-step, randomly delayed, robust cubature kalman filter for spacecraft-relative navigation","volume":"10","author":"Mu","year":"2023","journal-title":"Aerospace"},{"issue":"1","key":"10.1016\/j.isatra.2025.08.022_bib0170","article-title":"VB-based Gaussian sum cubature kalman filter for adaptive estimation of unknown delay and loss probability","volume":"2024","author":"Wang","year":"2024","journal-title":"Int J Aerosp Eng"},{"issue":"6","key":"10.1016\/j.isatra.2025.08.022_bib0175","doi-asserted-by":"crossref","first-page":"1551","DOI":"10.1109\/TAC.2012.2229812","article-title":"Optimal linear filters for discrete-time systems with randomly delayed and lost measurements with\/without time stamps","volume":"58","author":"Sun","year":"2012","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.isatra.2025.08.022_bib0180","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.dsp.2014.07.016","article-title":"Multi-sensor distributed fusion filtering for networked systems with different delay and loss rates","volume":"34","author":"Li","year":"2014","journal-title":"Digit Signal Prog"},{"issue":"6","key":"10.1016\/j.isatra.2025.08.022_bib0185","doi-asserted-by":"crossref","first-page":"2433","DOI":"10.1007\/s00034-017-0668-5","article-title":"Adaptive kalman filtering for systems subject to randomly delayed and lost measurements","volume":"37","author":"Nikfetrat","year":"2018","journal-title":"Circuits Syst Signal Process"},{"key":"10.1016\/j.isatra.2025.08.022_bib0190","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/j.apm.2023.10.017","article-title":"On the definitions of hidden markov models","volume":"125","author":"Saize","year":"2024","journal-title":"Appl Math Model"},{"key":"10.1016\/j.isatra.2025.08.022_bib0195","series-title":"Inference in hidden markov models","author":"Capp\u00e9","year":"2005"},{"issue":"6","key":"10.1016\/j.isatra.2025.08.022_bib0200","doi-asserted-by":"crossref","first-page":"952","DOI":"10.1080\/00207170701261952","article-title":"Analysis of single Gaussian approximation of Gaussian mixtures in Bayesian filtering applied to mixed multiple-model estimation","volume":"80","author":"Orguner","year":"2007","journal-title":"Int J Control"},{"issue":"1","key":"10.1016\/j.isatra.2025.08.022_bib0205","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1109\/TAC.2018.2828087","article-title":"Rao\u2013blackwellized Gaussian smoothing","volume":"64","author":"Hostettler","year":"2018","journal-title":"IEEE Trans Autom Control"},{"issue":"1","key":"10.1016\/j.isatra.2025.08.022_bib0210","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1049\/iet-rsn.2013.0095","article-title":"Marginal unscented Kalman filter for cross-correlated process and observation noise at the same epoch","volume":"8","author":"Chang","year":"2014","journal-title":"IET Radar Sonar Navig"},{"key":"10.1016\/j.isatra.2025.08.022_bib0215","series-title":"Matrix computations","author":"Golub","year":"2013"},{"issue":"2","key":"10.1016\/j.isatra.2025.08.022_bib0220","first-page":"1445","article-title":"A new approach for finding the determinant of matrices","volume":"188","author":"Rezaifar","year":"2007","journal-title":"Appl Math Comput"},{"issue":"7","key":"10.1016\/j.isatra.2025.08.022_bib0225","doi-asserted-by":"crossref","first-page":"1828","DOI":"10.1109\/TAC.2013.2237971","article-title":"Gaussian smoothers for nonlinear systems with one-step randomly delayed measurements","volume":"58","author":"Wang","year":"2013","journal-title":"IEEE Trans Autom Control"}],"container-title":["ISA Transactions"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0019057825004513?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0019057825004513?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T14:01:29Z","timestamp":1772805689000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0019057825004513"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12]]},"references-count":45,"alternative-id":["S0019057825004513"],"URL":"https:\/\/doi.org\/10.1016\/j.isatra.2025.08.022","relation":{},"ISSN":["0019-0578"],"issn-type":[{"value":"0019-0578","type":"print"}],"subject":[],"published":{"date-parts":[[2025,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Design and complexity analysis of marginalized Gaussian filtering for nonlinear systems with multi-step random measurement delays and packet dropouts","name":"articletitle","label":"Article Title"},{"value":"ISA Transactions","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.isatra.2025.08.022","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 International Society of Automation. Published by Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}]}}