{"id":"https://openalex.org/W4415180923","doi":"https://doi.org/10.23919/ecc65951.2025.11187297","title":"Online Optimization With Integral Action: An Optimal Algorithm For A Time Varying Quadratic Cost Function","display_name":"Online Optimization With Integral Action: An Optimal Algorithm For A Time Varying Quadratic Cost Function","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4415180923","doi":"https://doi.org/10.23919/ecc65951.2025.11187297"},"language":"en","primary_location":{"id":"doi:10.23919/ecc65951.2025.11187297","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187297","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-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/A5109776815","display_name":"Alex Xinting Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Alex Xinting Wu","raw_affiliation_strings":["The Australian National University,CIICADA Lab, School of Engineering,Canberra,Australia,2601"],"affiliations":[{"raw_affiliation_string":"The Australian National University,CIICADA Lab, School of Engineering,Canberra,Australia,2601","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian R. Petersen","raw_affiliation_strings":["The Australian National University,CIICADA Lab, School of Engineering,Canberra,Australia,2601"],"affiliations":[{"raw_affiliation_string":"The Australian National University,CIICADA Lab, School of Engineering,Canberra,Australia,2601","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010259253","display_name":"Iman Shames","orcid":"https://orcid.org/0000-0001-7308-3546"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Iman Shames","raw_affiliation_strings":["The Australian National University,CIICADA Lab, School of Engineering,Canberra,Australia,2601"],"affiliations":[{"raw_affiliation_string":"The Australian National University,CIICADA Lab, School of Engineering,Canberra,Australia,2601","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109776815"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33584537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1483","last_page":"1488"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9757999777793884,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9757999777793884,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9453999996185303,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.944599986076355,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5658000111579895},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5455999970436096},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.474700003862381},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.44339999556541443},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4327999949455261},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.41359999775886536},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.38690000772476196},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.38580000400543213},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.3691999912261963}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6183000206947327},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5658000111579895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5630000233650208},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5455999970436096},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.474700003862381},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.44339999556541443},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4327999949455261},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.41359999775886536},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.38690000772476196},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.38580000400543213},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.3691999912261963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3684999942779541},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.3564999997615814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3497999906539917},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.3172999918460846},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.3122999966144562},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2922999858856201},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C145671259","wikidata":"https://www.wikidata.org/wiki/Q1493786","display_name":"Discrete optimization","level":3,"score":0.2761000096797943},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.2597000002861023}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc65951.2025.11187297","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187297","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1988720110","https://openalex.org/W2090963365","https://openalex.org/W2097460613","https://openalex.org/W2124541940","https://openalex.org/W2163124522","https://openalex.org/W2726042758","https://openalex.org/W3011830603","https://openalex.org/W4205841652","https://openalex.org/W4225752823","https://openalex.org/W4281489014","https://openalex.org/W4380201355","https://openalex.org/W4385062967","https://openalex.org/W4391019853","https://openalex.org/W4399601444","https://openalex.org/W4402264766","https://openalex.org/W4413393296"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,55],"develop":[4],"an":[5,35],"online":[6,14],"optimization":[7,15],"algorithm":[8,30,60],"with":[9,22],"integral":[10],"action":[11],"for":[12],"solving":[13],"problems":[16],"characterized":[17],"by":[18],"quadratic":[19,78],"cost":[20,79],"functions":[21,80],"a":[23,41,71],"linearly":[24],"varying":[25],"optimal":[26,52,63],"point.":[27],"The":[28],"proposed":[29,59],"can":[31],"be":[32],"formulated":[33],"as":[34],"uncertain":[36],"linear":[37],"feedback":[38],"system":[39],"incorporating":[40],"discrete":[42,72],"time":[43,73],"double":[44,74],"integrator.":[45],"By":[46],"leveraging":[47],"established":[48],"results":[49],"on":[50],"the":[51,58,62],"gain":[53],"margin,":[54],"demonstrate":[56],"that":[57],"achieves":[61],"convergence":[64],"rate":[65],"compared":[66],"to":[67,77],"other":[68],"methods":[69],"including":[70],"integrator":[75],"applied":[76],"in":[81],"finite-dimensional":[82],"spaces.":[83]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-15T00:00:00"}