{"id":"https://openalex.org/W2887801643","doi":"https://doi.org/10.1080/23307706.2018.1503069","title":"Adaptive <i>H</i><sub>\u221e</sub> control of polynomial Hamiltonian systems via symbolic computation: controller parameterisation","display_name":"Adaptive <i>H</i><sub>\u221e</sub> control of polynomial Hamiltonian systems via symbolic computation: controller parameterisation","publication_year":2018,"publication_date":"2018-08-02","ids":{"openalex":"https://openalex.org/W2887801643","doi":"https://doi.org/10.1080/23307706.2018.1503069","mag":"2887801643"},"language":"en","primary_location":{"id":"doi:10.1080/23307706.2018.1503069","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2018.1503069","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","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/A5050961328","display_name":"Zhong Cao","orcid":"https://orcid.org/0000-0002-2301-8030"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]},{"id":"https://openalex.org/I4210098034","display_name":"Key Laboratory of Guangdong Province","ror":"https://ror.org/00swtqp09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210098034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhong Cao","raw_affiliation_strings":["Mathematical Educational Software of Engineering Technology Research Center of Guangdong Province, Guangzhou, People\u2019s Republic of China","School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, People\u2019s Republic of China","Mathematical Educational Software of Engineering Technology Research Center of Guangdong Province, Guangzhou, People's Republic of China","School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2301-8030","affiliations":[{"raw_affiliation_string":"Mathematical Educational Software of Engineering Technology Research Center of Guangdong Province, Guangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210098034"]},{"raw_affiliation_string":"School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"Mathematical Educational Software of Engineering Technology Research Center of Guangdong Province, Guangzhou, People's Republic of China","institution_ids":["https://openalex.org/I4210098034"]},{"raw_affiliation_string":"School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, People's Republic of China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007919131","display_name":"Xiaorong Hou","orcid":"https://orcid.org/0000-0001-8217-8491"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaorong Hou","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China","School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, People's Republic of China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101526826","display_name":"Wenjing Zhao","orcid":"https://orcid.org/0000-0002-1836-5396"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjing Zhao","raw_affiliation_strings":["Lab Center, Guangzhou University, Guangzhou, People\u2019s Republic of China","Lab Center, Guangzhou University, Guangzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lab Center, Guangzhou University, Guangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"Lab Center, Guangzhou University, Guangzhou, People's Republic of China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050961328"],"corresponding_institution_ids":["https://openalex.org/I37987034","https://openalex.org/I4210098034"],"apc_list":null,"apc_paid":null,"fwci":0.7304,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71980213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":"2","first_page":"160","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"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/T12763","display_name":"ATP Synthase and ATPases Research","score":0.9779000282287598,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9718999862670898,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7513771057128906},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6505266427993774},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5753380060195923},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5168188214302063},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5090088844299316},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5001552104949951},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4902520775794983},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47173869609832764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40976041555404663},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4083196222782135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3259809613227844},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2168387770652771},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15853071212768555},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06664827466011047}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7513771057128906},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6505266427993774},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5753380060195923},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5168188214302063},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5090088844299316},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5001552104949951},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4902520775794983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47173869609832764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40976041555404663},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4083196222782135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3259809613227844},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2168387770652771},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15853071212768555},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06664827466011047},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/23307706.2018.1503069","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2018.1503069","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4420510405","display_name":null,"funder_award_id":"61374001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8270489715","display_name":null,"funder_award_id":"2015AA015408","funder_id":"https://openalex.org/F4320335773","funder_display_name":"National High-tech Research and Development Program"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335773","display_name":"National High-tech Research and Development Program","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1487127700","https://openalex.org/W1552897070","https://openalex.org/W1570787829","https://openalex.org/W1967344706","https://openalex.org/W1995645127","https://openalex.org/W2014024816","https://openalex.org/W2048253740","https://openalex.org/W2069796380","https://openalex.org/W2083754940","https://openalex.org/W2089995762","https://openalex.org/W2101773087","https://openalex.org/W2115240537","https://openalex.org/W2127125593","https://openalex.org/W2133583429","https://openalex.org/W2135628311","https://openalex.org/W2137352610","https://openalex.org/W2147994658","https://openalex.org/W2153553999","https://openalex.org/W2153644586","https://openalex.org/W2161507975","https://openalex.org/W2165276818","https://openalex.org/W2168981785","https://openalex.org/W2322782874","https://openalex.org/W2473255355","https://openalex.org/W2564407468","https://openalex.org/W2962885832","https://openalex.org/W4245176833","https://openalex.org/W4248444468","https://openalex.org/W4249614655"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W2075972694","https://openalex.org/W1991810297","https://openalex.org/W2032253950","https://openalex.org/W1819950161"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,16,26,60,124],"controller":[4,25,59,77,91],"parameterisation":[5,67],"method":[6,49,68],"of":[7,29,54,57,112,117],"adaptive":[8,39,98,118],"H\u221e":[9,40,99,119],"control":[10,100,120],"for":[11,50,121],"polynomial":[12],"Hamiltonian":[13,44],"systems":[14,37,123],"(PHSs)":[15],"disturbances":[17,125],"and":[18,74,126],"unknown":[19,127],"parameters.":[20,104,128],"We":[21],"design":[22],"a":[23,27,48],"simplified":[24],"set":[28,53],"tuning":[30,55,103],"parameters":[31,56],"which":[32],"can":[33,96],"guarantee":[34],"that":[35,89],"the":[36,52,58,75,90,115],"are":[38,108],"stable":[41],"by":[42,101],"using":[43],"function":[45],"method.":[46],"Then,":[47],"solving":[51,70],"symbolic":[61],"computation":[62],"is":[63,78,92],"presented.":[64],"The":[65],"proposed":[66],"avoids":[69],"Hamilton\u2013Jacobi\u2013Issacs":[71],"(HJI)":[72],"equations":[73],"obtained":[76],"easier":[79],"as":[80,94],"compared":[81],"to":[82,110],"some":[83],"existing":[84],"ones.":[85],"Simulation":[86],"example":[87],"shows":[88],"effective":[93],"it":[95],"optimise":[97],"adjusting":[102],"All":[105],"these":[106],"results":[107],"expected":[109],"be":[111],"use":[113],"in":[114],"study":[116],"nonlinear":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}