{"id":"https://openalex.org/W2889541567","doi":"https://doi.org/10.1109/icca.2018.8444242","title":"Stackelberg Game Approach to Mixed H<sub>2</sub>/H<sub>\u221e</sub> Control with Multi-hierarchy Decision Players","display_name":"Stackelberg Game Approach to Mixed H<sub>2</sub>/H<sub>\u221e</sub> Control with Multi-hierarchy Decision Players","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2889541567","doi":"https://doi.org/10.1109/icca.2018.8444242","mag":"2889541567"},"language":"en","primary_location":{"id":"doi:10.1109/icca.2018.8444242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca.2018.8444242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE 14th International Conference on Control and Automation (ICCA)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100643629","display_name":"Xiaoqian Li","orcid":"https://orcid.org/0000-0002-0857-5277"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqian Li","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100768356","display_name":"Juanjuan Xu","orcid":"https://orcid.org/0000-0003-0331-9976"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juanjuan Xu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100391748","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0001-7799-9463"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"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/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanshui Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jingshi Road 73, Jinan, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":null,"first_page":"775","last_page":"780"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9829000234603882,"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":0.9829000234603882,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9627000093460083,"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/T12158","display_name":"Guidance and Control Systems","score":0.9413999915122986,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.8861815929412842},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.7129480242729187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5384514331817627},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5270516872406006},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.46150070428848267},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3332957327365875},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3088427186012268},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2238752841949463},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21145150065422058},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.17241692543029785}],"concepts":[{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.8861815929412842},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7129480242729187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5384514331817627},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5270516872406006},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.46150070428848267},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3332957327365875},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3088427186012268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2238752841949463},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21145150065422058},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.17241692543029785},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icca.2018.8444242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca.2018.8444242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE 14th International Conference on Control and Automation (ICCA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W8698150","https://openalex.org/W81847036","https://openalex.org/W154935384","https://openalex.org/W1495711302","https://openalex.org/W1512920271","https://openalex.org/W1526958822","https://openalex.org/W1578630563","https://openalex.org/W1689629105","https://openalex.org/W1971499785","https://openalex.org/W1972910244","https://openalex.org/W1973001558","https://openalex.org/W1992932554","https://openalex.org/W1993588073","https://openalex.org/W1997867294","https://openalex.org/W2004236301","https://openalex.org/W2040158468","https://openalex.org/W2055300044","https://openalex.org/W2099958618","https://openalex.org/W2100822969","https://openalex.org/W2103394538","https://openalex.org/W2135218746","https://openalex.org/W2142222200","https://openalex.org/W2160708185","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/W2605497830","https://openalex.org/W3169439878","https://openalex.org/W2948291551","https://openalex.org/W2062756478"],"abstract_inverted_index":{"In":[0],"this":[1,93],"paper,":[2],"the":[3,30,36,48,56,65,81,87],"mixed":[4],"H":[5],"<inf":[6,10],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,11],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[8],"/H":[9],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</inf>":[12],"control":[13],"problem":[14],"is":[15],"reformulated":[16],"as":[17],"a":[18,27,39,70],"Stackelberg":[19],"game":[20],"with":[21],"multi-hierarchy":[22],"decision":[23],"players.":[24],"There":[25],"exists":[26],"sequence":[28],"in":[29,92],"leader":[31,37],"and":[32,83],"multiple":[33],"non-cooperative":[34],"followers,":[35],"achieves":[38],"teamoptimal":[40],"solution":[41,89],"by":[42,68],"selecting":[43],"his/her":[44],"strategy":[45],"first,":[46],"whereas":[47],"followers":[49],"perform":[50],"their":[51],"optimal":[52,66],"decisions":[53],"according":[54],"to":[55],"leader\u2019s":[57],"announcement.":[58],"By":[59],"using":[60],"maximum":[61],"principle,":[62],"we":[63],"demonstrate":[64],"controller":[67],"solving":[69],"set":[71],"of":[72,86],"symmetric":[73],"Riccati":[74],"equations.":[75],"It":[76],"should":[77],"be":[78],"mentioned":[79],"that":[80],"sufficient":[82],"necessary":[84],"conditions":[85],"unique":[88],"are":[90],"presented":[91],"paper.":[94]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}