{"id":"https://openalex.org/W4407360640","doi":"https://doi.org/10.1109/tase.2025.3540855","title":"State Estimation of a Spatial 2-D Linear Diffusion Process With Mobile Sensors","display_name":"State Estimation of a Spatial 2-D Linear Diffusion Process With Mobile Sensors","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4407360640","doi":"https://doi.org/10.1109/tase.2025.3540855"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2025.3540855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3540855","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"},"type":"article","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/A5091572656","display_name":"Xiao\u2010Wei Zhang","orcid":"https://orcid.org/0000-0003-1471-0057"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Wei Zhang","raw_affiliation_strings":["School of Information Science and Technology, Beijing University of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-1471-0057","affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kui Chen","orcid":"https://orcid.org/0009-0006-8323-759X"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kui Chen","raw_affiliation_strings":["School of Control Science and Engineering, Tiangong University, Tianjin, China"],"raw_orcid":"https://orcid.org/0009-0006-8323-759X","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000266144","display_name":"Huai\u2010Ning Wu","orcid":"https://orcid.org/0000-0002-4366-5147"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huai-Ning Wu","raw_affiliation_strings":["Science and Technology on Aircraft Control Laboratory, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","School of Automation Science and Electrical Engineering, Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-4366-5147","affiliations":[{"raw_affiliation_string":"Science and Technology on Aircraft Control Laboratory, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100632265","display_name":"Jin-Liang Wang","orcid":"https://orcid.org/0000-0003-1574-1875"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin-Liang Wang","raw_affiliation_strings":["Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin, China","School of Computer Science and Technology, Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, Tiangong University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-1574-1875","affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]},{"raw_affiliation_string":"School of Computer Science and Technology, Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032334945","display_name":"Zipeng Wang","orcid":"https://orcid.org/0000-0002-6269-789X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]},{"id":"https://openalex.org/I4210100255","display_name":"Beijing Academy of Artificial Intelligence","ror":"https://ror.org/016a74861","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210100255"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zi-Peng Wang","raw_affiliation_strings":["School of Information Science and Technology, Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, China","Beijing Institute of Artificial Intelligence, School of Information Science and Technology, Beijing University of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I4210100255","https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing Institute of Artificial Intelligence, School of Information Science and Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7279,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.82239438,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"22","issue":null,"first_page":"12024","last_page":"12032"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.8885999917984009,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.8885999917984009,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5244669914245605},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5076233148574829},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.49244460463523865},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.49165111780166626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4541085362434387},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32443416118621826},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1466415524482727},{"id":"https://openalex.org/keywords/innovation-diffusion","display_name":"Innovation diffusion","score":0.1010015606880188}],"concepts":[{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5244669914245605},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5076233148574829},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.49244460463523865},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.49165111780166626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4541085362434387},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32443416118621826},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1466415524482727},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.1010015606880188},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3540855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3540855","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1220957082","display_name":null,"funder_award_id":"No.2024KQ059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G185315232","display_name":null,"funder_award_id":"62203326","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3601265742","display_name":null,"funder_award_id":"62173244","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8371090957","display_name":null,"funder_award_id":"62473021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1538686203","https://openalex.org/W1987155157","https://openalex.org/W2100563249","https://openalex.org/W2116810757","https://openalex.org/W2121855948","https://openalex.org/W2158567645","https://openalex.org/W2288403349","https://openalex.org/W2345049064","https://openalex.org/W2748047674","https://openalex.org/W2783089576","https://openalex.org/W2971992786","https://openalex.org/W2981614080","https://openalex.org/W2987033930","https://openalex.org/W2987958560","https://openalex.org/W3006339691","https://openalex.org/W3014099253","https://openalex.org/W3025005481","https://openalex.org/W3084975600","https://openalex.org/W3128502818","https://openalex.org/W3156501016","https://openalex.org/W4206068760","https://openalex.org/W4226053079","https://openalex.org/W4285736404","https://openalex.org/W4293370659","https://openalex.org/W4293568840","https://openalex.org/W4294068697","https://openalex.org/W4310082948","https://openalex.org/W4318997183","https://openalex.org/W4323669211","https://openalex.org/W4360993992","https://openalex.org/W4386350779","https://openalex.org/W4387124161","https://openalex.org/W4390357589","https://openalex.org/W4402806764"],"related_works":["https://openalex.org/W2386796262","https://openalex.org/W2354853573","https://openalex.org/W3092433872","https://openalex.org/W2064306826","https://openalex.org/W2924020013","https://openalex.org/W2075187783","https://openalex.org/W2807797544","https://openalex.org/W2383408482","https://openalex.org/W1968453607","https://openalex.org/W1511383268"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,30,33,38,42,51,56,66,72,80,93,111,115,121,125,150,154,171,174,181,186,194,199,235,259,280,290,298,311,317,325],"state":[4,43,116,263],"observer":[5,44,155,207,236,264],"design":[6,107,176,203,208,237,305,313,326],"of":[7,32,41,53,95,114,128,136,153,173,196,201,238,261],"a":[8,17,133,164,250,302],"spatial":[9,187,217,282],"two-dimensional":[10],"(2-D)":[11],"linear":[12,18,159,267],"diffusion":[13],"process":[14,242],"described":[15],"by":[16,71,158],"parabolic":[19,268],"partial":[20],"differential":[21],"equation":[22],"(PDE)":[23],"under":[24],"mobile":[25,46,54,67,81,123,129,211,244,272,278],"sensors.":[26,47,273],"Firstly,":[27],"we":[28,103],"analyze":[29],"well-posedness":[31],"PDE":[34,269],"system":[35,202],"and":[36,65,100,210,246,289],"give":[37],"structure":[39],"form":[40],"with":[45],"Subsequently,":[48],"according":[49],"to":[50,109,169,179,224,296,309,323],"number":[52],"sensors,":[55,245,279],"2-D":[57,89,188,225,239,266,281],"space":[58,197],"domain":[59,283],"is":[60,131,156,167,248,284,294,307,321],"divided":[61],"into":[62,286],"multiple":[63],"sub-domains,":[64],"sensors":[68,82,130],"are":[69,146,220],"guided":[70],"projection":[73,291],"operator":[74,292],"method,":[75],"which":[76],"can":[77,83],"guarantee":[78],"that":[79],"only":[84],"move":[85],"in":[86,92],"their":[87],"respective":[88],"sub-domains.":[90],"Then,":[91,301],"light":[94],"Lyapunov":[96],"theory,":[97],"Poincar\u00e9-Wirtinger":[98],"inequality":[99],"Barbalat":[101],"lemma,":[102],"propose":[104],"an":[105],"observation-plus-guidance":[106,304],"method":[108,306,320],"ensure":[110],"asymptotic":[112],"stability":[113],"estimation":[117],"error":[118],"system.":[119],"In":[120,253],"designed":[122,147],"strategy,":[124],"actual":[126,182],"guidance":[127,139,144,213],"essentially":[132],"physical":[134,183,240],"synthesis":[135],"two":[137,142],"direction":[138],"laws,":[140],"where":[141],"dimensional":[143],"laws":[145],"separately.":[148],"Moreover,":[149],"existence":[151],"condition":[152],"given":[157],"matrix":[160],"inequalities.":[161],"At":[162,315],"last,":[163,316],"numerical":[165],"example":[166],"provided":[168,308],"demonstrate":[170],"efficacy":[172],"proposed":[175],"scheme.":[177],"Note":[178],"Practitioners\u2014For":[180],"temporal-space":[184,241],"process,":[185],"case":[189],"makes":[190],"more":[191],"sense.":[192],"With":[193],"increase":[195],"dimension,":[198],"difficulty":[200],"increases":[204],"sharply.":[205],"The":[206],"methodology":[209],"sensor":[212],"approach":[214,293],"developed":[215],"for":[216,265],"1-D":[218],"systems":[219,270],"not":[221],"directly":[222],"extendable":[223],"systems.":[226],"However,":[227],"there":[228],"have":[229],"also":[230],"been":[231],"few":[232],"reports":[233],"on":[234],"using":[243],"it":[247],"still":[249],"challenging":[251],"problem.":[252],"this":[254,256],"article,":[255],"study":[257],"addresses":[258],"problem":[260],"designing":[262],"utilizing":[271],"To":[274],"prevent":[275],"collisions":[276],"among":[277],"partitioned":[285],"several":[287],"subregions,":[288],"employed":[295],"develop":[297],"motion":[299],"strategy.":[300],"Lyapunov-based":[303],"achieve":[310],"desired":[312],"goals.":[314],"finite":[318],"difference":[319],"used":[322],"verify":[324],"method.":[327]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}