{"id":"https://openalex.org/W4416768283","doi":"https://doi.org/10.1016/j.probengmech.2025.103866","title":"Neural network-based probabilistic tracking control for levitation systems under stochastic track irregularities","display_name":"Neural network-based probabilistic tracking control for levitation systems under stochastic track irregularities","publication_year":2025,"publication_date":"2025-10-01","ids":{"openalex":"https://openalex.org/W4416768283","doi":"https://doi.org/10.1016/j.probengmech.2025.103866"},"language":"en","primary_location":{"id":"doi:10.1016/j.probengmech.2025.103866","doi":"https://doi.org/10.1016/j.probengmech.2025.103866","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.probengmech.2025.103866","pdf_url":null,"source":{"id":"https://openalex.org/S189810516","display_name":"Probabilistic Engineering Mechanics","issn_l":"0266-8920","issn":["0266-8920","1878-4275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Probabilistic Engineering Mechanics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067372753","display_name":"Wantao Jia","orcid":"https://orcid.org/0000-0002-3746-3776","observed_orcids":["https://orcid.org/0000-0002-3746-3776"]},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wantao Jia","raw_affiliation_strings":["MOE Key Laboratory for Complexity Science in Aerospace, Northwestern Polytechnical University, Xi\u2019an 710129, China","School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an 710072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MOE Key Laboratory for Complexity Science in Aerospace, Northwestern Polytechnical University, Xi\u2019an 710129, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104227597","display_name":"Zhengrong Jin","orcid":"https://orcid.org/0009-0009-3035-599X","observed_orcids":["https://orcid.org/0009-0009-3035-599X"]},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengrong Jin","raw_affiliation_strings":["School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an 710072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010611549","display_name":"Fei Ni","orcid":"https://orcid.org/0000-0002-8735-7488","observed_orcids":["https://orcid.org/0000-0002-8735-7488","https://orcid.org/0000-0002-7175-9036"]},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fei Ni","raw_affiliation_strings":["National Maglev Transportation Engineering R&D Center, Tongji University, Shanghai 201804, China","State Key Laboratory of High-speed Maglev Transportation Technology, Tongji University, Shanghai 201804, China"],"raw_orcid":"https://orcid.org/0000-0002-8735-7488","affiliations":[{"raw_affiliation_string":"National Maglev Transportation Engineering R&D Center, Tongji University, Shanghai 201804, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"State Key Laboratory of High-speed Maglev Transportation Technology, Tongji University, Shanghai 201804, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100413035","display_name":"Weiqiu Zhu","orcid":"https://orcid.org/0000-0002-8718-5460","observed_orcids":["https://orcid.org/0000-0002-8718-5460"]},"institutions":[{"id":"https://openalex.org/I4391767679","display_name":"State Key Laboratory Fluid Power and Mechatronic Systems","ror":"https://ror.org/01h0g5x34","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767679","https://openalex.org/I76130692"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiqiu Zhu","raw_affiliation_strings":["State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Mechanics, Zhejiang University, Hangzhou 310027, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Mechanics, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I4391767679","https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010611549"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":{"value":3370,"currency":"USD","value_usd":3370},"apc_paid":null,"fwci":0.5556,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63702736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"82","issue":null,"first_page":"103866","last_page":"103866"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.8788999915122986,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.8788999915122986,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.08009999990463257,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.003599999938160181,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electromagnetic-suspension","display_name":"electromagnetic suspension","score":0.7310000061988831},{"id":"https://openalex.org/keywords/maglev-train","display_name":"maglev train","score":0.8859999775886536},{"id":"https://openalex.org/keywords/levitation-control","display_name":"levitation control","score":0.7540000081062317},{"id":"https://openalex.org/keywords/physics-informed-neural-networks","display_name":"physics-informed neural networks","score":0.871999979019165},{"id":"https://openalex.org/keywords/poisson-white-noise","display_name":"Poisson white noise","score":0.7940000295639038},{"id":"https://openalex.org/keywords/white-gaussian-noise","display_name":"Gaussian white noise","score":0.8500000238418579},{"id":"https://openalex.org/keywords/track-irregularities","display_name":"track irregularities","score":0.6790000200271606},{"id":"https://openalex.org/keywords/fokker-planck-equation","display_name":"Fokker-Planck equation","score":0.8460000157356262},{"id":"https://openalex.org/keywords/adaptive-sampling","display_name":"adaptive sampling","score":0.8180000185966492}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.715499997138977},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.6327000260353088},{"id":"https://openalex.org/C27838914","wikidata":"https://www.wikidata.org/wiki/Q740997","display_name":"Levitation","level":3,"score":0.5618000030517578},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5037000179290771},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4700999855995178},{"id":"https://openalex.org/C196781063","wikidata":"https://www.wikidata.org/wiki/Q160047","display_name":"Maglev","level":2,"score":0.4684999883174896},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.46140000224113464},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4611000120639801},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.426800012588501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40639999508857727},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.40070000290870667},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.39890000224113464},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.38260000944137573},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.3630000054836273},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.36090001463890076},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.36059999465942383},{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.35910001397132874},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.35280001163482666},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3416000008583069},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.34150001406669617},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.34040001034736633},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3343999981880188},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.3165000081062317},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.31380000710487366},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.29580000042915344},{"id":"https://openalex.org/C206736587","wikidata":"https://www.wikidata.org/wiki/Q1061251","display_name":"Magnetic levitation","level":3,"score":0.2922999858856201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2874000072479248},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.27219998836517334},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2651999890804291},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.26249998807907104}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.probengmech.2025.103866","doi":"https://doi.org/10.1016/j.probengmech.2025.103866","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.probengmech.2025.103866","pdf_url":null,"source":{"id":"https://openalex.org/S189810516","display_name":"Probabilistic Engineering Mechanics","issn_l":"0266-8920","issn":["0266-8920","1878-4275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Probabilistic Engineering Mechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G351996751","display_name":null,"funder_award_id":"22120230311","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5028985655","display_name":null,"funder_award_id":"2023YFB4302500","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7512841040","display_name":"\u8fde\u7eed\u4e0e\u8df3\u8dc3\u968f\u673a\u6fc0\u52b1\u5171\u540c\u4f5c\u7528\u4e0b\u62df\u54c8\u5bc6\u987f\u7cfb\u7edf\u968f\u673a\u6700\u4f18\u63a7\u5236\u7814\u7a76","funder_award_id":"11872306","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7528669906","display_name":null,"funder_award_id":"CX2024092","funder_id":"https://openalex.org/F4320321392","funder_display_name":"Northwestern Polytechnical University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321392","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W284785579","https://openalex.org/W990433057","https://openalex.org/W1998566030","https://openalex.org/W2024004837","https://openalex.org/W2032690396","https://openalex.org/W2047826341","https://openalex.org/W2067310601","https://openalex.org/W2083012097","https://openalex.org/W2092539362","https://openalex.org/W2145117626","https://openalex.org/W2153028751","https://openalex.org/W2167446990","https://openalex.org/W2622545504","https://openalex.org/W2740421066","https://openalex.org/W2757717365","https://openalex.org/W2802630195","https://openalex.org/W2838085911","https://openalex.org/W2864559559","https://openalex.org/W2899283552","https://openalex.org/W2908500687","https://openalex.org/W2987904136","https://openalex.org/W3002873949","https://openalex.org/W3010849941","https://openalex.org/W3038031796","https://openalex.org/W3114650899","https://openalex.org/W3125308522","https://openalex.org/W3128157635","https://openalex.org/W3149751770","https://openalex.org/W3202827257","https://openalex.org/W4308469717","https://openalex.org/W4310378218","https://openalex.org/W4313478812","https://openalex.org/W4317698120","https://openalex.org/W4319304500","https://openalex.org/W4322733885","https://openalex.org/W4322755803","https://openalex.org/W4376121807","https://openalex.org/W4382893306","https://openalex.org/W4386813207","https://openalex.org/W4390762665","https://openalex.org/W4399614002","https://openalex.org/W4399804080","https://openalex.org/W4399940222","https://openalex.org/W4400486053","https://openalex.org/W4401662453","https://openalex.org/W4402315400","https://openalex.org/W4407598496","https://openalex.org/W4408020188","https://openalex.org/W4408768433","https://openalex.org/W4409142143"],"related_works":["https://openalex.org/W4416958905","https://openalex.org/W2388422177","https://openalex.org/W4376273541","https://openalex.org/W7136358756","https://openalex.org/W4403614863","https://openalex.org/W4378417094","https://openalex.org/W2965656843","https://openalex.org/W3106950533","https://openalex.org/W2909795688","https://openalex.org/W4416510289"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2025-11-25T00:00:00"}
