{"id":"https://openalex.org/W4392543421","doi":"https://doi.org/10.1109/tac.2024.3374487","title":"Optimal Control and Filtering for Hierarchical Decision Problems With Constraint Based on Stackelberg Strategy","display_name":"Optimal Control and Filtering for Hierarchical Decision Problems With Constraint Based on Stackelberg Strategy","publication_year":2024,"publication_date":"2024-03-07","ids":{"openalex":"https://openalex.org/W4392543421","doi":"https://doi.org/10.1109/tac.2024.3374487"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3374487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3374487","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5060006554","display_name":"Zonglei Jing","orcid":"https://orcid.org/0009-0002-7487-5945"},"institutions":[{"id":"https://openalex.org/I4210118050","display_name":"Taishan University","ror":"https://ror.org/02bpnkx55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210118050"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zonglei Jing","raw_affiliation_strings":["School of Mathematics and Statistics, Taishan University, Taian, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Taishan University, Taian, China","institution_ids":["https://openalex.org/I4210118050"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045464151","display_name":"Xiaoqian Li","orcid":"https://orcid.org/0000-0002-4891-152X"},"institutions":[{"id":"https://openalex.org/I4210118050","display_name":"Taishan University","ror":"https://ror.org/02bpnkx55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210118050"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqian Li","raw_affiliation_strings":["School of Mathematics and Statistics, Taishan University, Taian, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Taishan University, Taian, China","institution_ids":["https://openalex.org/I4210118050"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085317853","display_name":"Peijun Ju","orcid":"https://orcid.org/0000-0003-3554-8810"},"institutions":[{"id":"https://openalex.org/I4210118050","display_name":"Taishan University","ror":"https://ror.org/02bpnkx55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210118050"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peijun Ju","raw_affiliation_strings":["School of Mathematics and Statistics, Taishan University, Taian, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Taishan University, Taian, China","institution_ids":["https://openalex.org/I4210118050"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114377900","display_name":"Huanshui Zhang","orcid":"https://orcid.org/0000-0002-8611-7327"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanshui Zhang","raw_affiliation_strings":["School of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5060006554"],"corresponding_institution_ids":["https://openalex.org/I4210118050"],"apc_list":null,"apc_paid":null,"fwci":0.9853,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73742078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":"9","first_page":"6238","last_page":"6245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9189000129699707,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9189000129699707,"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/stackelberg-competition","display_name":"Stackelberg competition","score":0.9131795167922974},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6530817747116089},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6074498891830444},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5414363145828247},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5318711996078491},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49269941449165344},{"id":"https://openalex.org/keywords/decision-model","display_name":"Decision model","score":0.42250463366508484},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4107472896575928},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4017820358276367},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24372047185897827},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.22109684348106384}],"concepts":[{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.9131795167922974},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6530817747116089},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6074498891830444},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5414363145828247},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5318711996078491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49269941449165344},{"id":"https://openalex.org/C59594135","wikidata":"https://www.wikidata.org/wiki/Q5249242","display_name":"Decision model","level":2,"score":0.42250463366508484},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4107472896575928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4017820358276367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24372047185897827},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.22109684348106384},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3374487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3374487","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6399999856948853,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2496566208","display_name":null,"funder_award_id":"ZR2020QF048","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5991391139","display_name":null,"funder_award_id":"ZR2018MF019","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G7295156665","display_name":null,"funder_award_id":"61873179","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8299418200","display_name":null,"funder_award_id":"62003234","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"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W8698150","https://openalex.org/W1512920271","https://openalex.org/W1578630563","https://openalex.org/W1973001558","https://openalex.org/W1979177727","https://openalex.org/W1979662243","https://openalex.org/W2004236301","https://openalex.org/W2017016234","https://openalex.org/W2023356347","https://openalex.org/W2032085216","https://openalex.org/W2040158468","https://openalex.org/W2057784139","https://openalex.org/W2069321330","https://openalex.org/W2076038719","https://openalex.org/W2091817662","https://openalex.org/W2093337187","https://openalex.org/W2102316513","https://openalex.org/W2103394538","https://openalex.org/W2119452596","https://openalex.org/W2120121765","https://openalex.org/W2139766131","https://openalex.org/W2143794104","https://openalex.org/W2147341361","https://openalex.org/W2173931892","https://openalex.org/W2204963357","https://openalex.org/W2560295441","https://openalex.org/W2589571887","https://openalex.org/W2792046445","https://openalex.org/W2980997946","https://openalex.org/W2989832908","https://openalex.org/W3015760985","https://openalex.org/W3125172959","https://openalex.org/W6634494593"],"related_works":["https://openalex.org/W1987562536","https://openalex.org/W4383533535","https://openalex.org/W2375814310","https://openalex.org/W4255938919","https://openalex.org/W2903244929","https://openalex.org/W4380353856","https://openalex.org/W2347216446","https://openalex.org/W1995212308","https://openalex.org/W2364137969","https://openalex.org/W4294030722"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,15,32,35,39,43,54,57,64,68,72,79,82,92,98,117,144],"hierarchical":[4],"decision":[5],"problems":[6,99],"with":[7,53,67,132],"<inline-formula":[8],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[10],"notation=\"LaTeX\">$H_{\\infty":[11],"}$</tex-math></inline-formula>":[12],"constraint,":[13],"where":[14],"proposed":[16,129],"feedback":[17,96,104],"Stackelberg":[18,76],"strategy":[19],"incorporates":[20],"a":[21,46,75,113],"two-level":[22],"control":[23,89],"progress.":[24],"The":[25,60,107,125],"leader":[26,80],"first":[27],"announces":[28],"his":[29],"action":[30,62],"at":[31],"beginning":[33],"of":[34,56,63,71,94],"game":[36],"and":[37,81,87,119,137,146,154],"anticipates":[38],"follower's":[40],"optimal":[41,61,138],"response,":[42],"follower":[44,83],"chooses":[45],"response":[47,70],"to":[48,130],"optimize":[49],"his/her":[50],"cost":[51],"function":[52],"information":[55],"leader's":[58],"action.":[59],"leader,":[65],"coupled":[66,133],"rational":[69],"follower,":[73],"forms":[74],"equilibrium.":[77],"Both":[78],"exchange":[84],"their":[85],"observations":[86],"historical":[88],"inputs.":[90],"Under":[91],"assumption":[93],"linear":[95],"strategies,":[97],"are":[100,158],"converted":[101],"into":[102],"unsolved":[103],"gain":[105],"matrix.":[106],"introduced":[108],"Pontryagin's":[109],"maximum":[110],"principle":[111,127],"develops":[112],"solution":[114],"based":[115],"on":[116],"forward":[118],"backward":[120],"stochastic":[121],"difference":[122],"equations":[123],"(FBSDEs).":[124],"separation":[126],"is":[128],"deal":[131],"state":[134],"estimation":[135],"gains":[136],"controller":[139],"gains.":[140],"To":[141],"this":[142],"end,":[143],"necessary":[145],"sufficient":[147],"solvability":[148],"conditions":[149],"for":[150],"both":[151],"finite":[152],"horizon":[153,156],"infinite":[155],"case":[157],"derived.":[159]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2024-03-08T00:00:00"}