{"id":"https://openalex.org/W7125371270","doi":"https://doi.org/10.1080/00207179.2025.2612061","title":"Adaptive optimal control for backward linear quadratic problem: iterative computation of anti-stabilising solutions","display_name":"Adaptive optimal control for backward linear quadratic problem: iterative computation of anti-stabilising solutions","publication_year":2026,"publication_date":"2026-01-22","ids":{"openalex":"https://openalex.org/W7125371270","doi":"https://doi.org/10.1080/00207179.2025.2612061"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2025.2612061","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2025.2612061","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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":"International Journal of 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/A5123609831","display_name":"Yu Lin","orcid":null},"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":"Yu Lin","raw_affiliation_strings":["Shandong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shandong University","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017397385","display_name":"Bing\u2010Chang Wang","orcid":"https://orcid.org/0000-0003-3882-8615"},"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":true,"raw_author_name":"Bing-Chang Wang","raw_affiliation_strings":["Shandong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shandong University","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080260781","display_name":"Liangyuan Guo","orcid":"https://orcid.org/0009-0009-3590-277X"},"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":"Liangyuan Guo","raw_affiliation_strings":["Shandong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shandong University","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017397385"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08903167,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"99","issue":"6","first_page":"1780","last_page":"1797"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.2467000037431717,"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"}},"topics":[{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.2467000037431717,"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"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.1446000039577484,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.11620000004768372,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6513000130653381},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5968999862670898},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5120000243186951},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.43799999356269836},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42329999804496765},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.3995000123977661}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6513000130653381},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5968999862670898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5346999764442444},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5120000243186951},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.43799999356269836},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43369999527931213},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42329999804496765},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4092999994754791},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.3995000123977661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38179999589920044},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3400999903678894},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2964000105857849},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.25360000133514404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2025.2612061","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2025.2612061","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2294042172","display_name":null,"funder_award_id":"ZR2022JQ31","funder_id":"https://openalex.org/F4320334121","funder_display_name":"Natural Science Fund for Distinguished Young Scholars of Shandong Province"},{"id":"https://openalex.org/G4553523842","display_name":null,"funder_award_id":"62192753","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/F4320334121","display_name":"Natural Science Fund for Distinguished Young Scholars of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W648594167","https://openalex.org/W1494628843","https://openalex.org/W1977532666","https://openalex.org/W1993595567","https://openalex.org/W2002357820","https://openalex.org/W2011150195","https://openalex.org/W2015076306","https://openalex.org/W2019338681","https://openalex.org/W2024303516","https://openalex.org/W2024859123","https://openalex.org/W2033503672","https://openalex.org/W2037025184","https://openalex.org/W2051856676","https://openalex.org/W2069863818","https://openalex.org/W2077760421","https://openalex.org/W2078895915","https://openalex.org/W2097622270","https://openalex.org/W2125922364","https://openalex.org/W2146382756","https://openalex.org/W2147058026","https://openalex.org/W2148439597","https://openalex.org/W2151966330","https://openalex.org/W2157047632","https://openalex.org/W2157883119","https://openalex.org/W2163334725","https://openalex.org/W2467518411","https://openalex.org/W2487144912","https://openalex.org/W2498677259","https://openalex.org/W2523345745","https://openalex.org/W2914054366","https://openalex.org/W2921889099","https://openalex.org/W3172934943","https://openalex.org/W4206037914","https://openalex.org/W4221149767","https://openalex.org/W4242482785","https://openalex.org/W4287231927","https://openalex.org/W4296121324","https://openalex.org/W4301886962","https://openalex.org/W4313122311","https://openalex.org/W4392436549","https://openalex.org/W4400878547","https://openalex.org/W4403199063","https://openalex.org/W4409168338"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"novel":[4],"policy":[5],"iteration":[6],"method":[7],"is":[8,29,110],"proposed":[9,91],"to":[10,32,38,97],"find":[11],"the":[12,18,34,39,50,87,90,95,98,105,108],"adaptive":[13,70,100],"optimal":[14,66,101],"closed-loop":[15],"regulator":[16],"for":[17],"backward":[19],"linear":[20],"quadratic":[21],"problem":[22,28],"with":[23],"completely":[24],"unknown":[25],"dynamics.":[26],"This":[27],"closely":[30],"related":[31],"solving":[33],"anti-stabilising":[35],"solution":[36],"K\u2212":[37],"algebraic":[40],"Riccati":[41],"equation.":[42],"First,":[43],"we":[44,63],"build":[45],"two":[46],"model-based":[47],"algorithms":[48,109],"where":[49],"state":[51,74],"weight":[52],"Q":[53],"can":[54],"be":[55],"relaxed":[56],"into":[57],"an":[58],"arbitrary":[59],"symmetric":[60],"matrix.":[61],"Then,":[62],"iteratively":[64],"compute":[65],"control":[67,102],"gain":[68],"through":[69,112],"dynamic":[71],"programming,":[72],"utilising":[73],"and":[75,93],"input":[76],"information,":[77],"without":[78],"explicit":[79],"or":[80],"prior":[81],"dynamics":[82],"information.":[83],"We":[84],"further":[85],"show":[86],"convergence":[88],"of":[89,107],"algorithm":[92],"discuss":[94],"application":[96],"finite-horizon":[99],"problem.":[103],"Moreover,":[104],"effectiveness":[106],"verified":[111],"simulation":[113],"experiments.":[114]},"counts_by_year":[],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2026-01-23T00:00:00"}