{"id":"https://openalex.org/W4413393387","doi":"https://doi.org/10.23919/acc63710.2025.11107705","title":"Dynamic programming via the quadratic transform","display_name":"Dynamic programming via the quadratic transform","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4413393387","doi":"https://doi.org/10.23919/acc63710.2025.11107705"},"language":"en","primary_location":{"id":"doi:10.23919/acc63710.2025.11107705","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107705","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","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/A5004101031","display_name":"Peter M. Dower","orcid":"https://orcid.org/0000-0002-9791-7776"},"institutions":[{"id":"https://openalex.org/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]},{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Peter M. Dower","raw_affiliation_strings":["University of Melbourne,Department of Electrical & Electronic Engineering,Victoria,Australia,3010"],"affiliations":[{"raw_affiliation_string":"University of Melbourne,Department of Electrical & Electronic Engineering,Victoria,Australia,3010","institution_ids":["https://openalex.org/I165779595","https://openalex.org/I71270174"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069202152","display_name":"William M. McEneaney","orcid":"https://orcid.org/0000-0002-0576-9949"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William M. McEneaney","raw_affiliation_strings":["University of California at San Diego,Department of Mechanical & Aerospace Engineering,La Jolla,CA,USA,92093"],"affiliations":[{"raw_affiliation_string":"University of California at San Diego,Department of Mechanical & Aerospace Engineering,La Jolla,CA,USA,92093","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004101031"],"corresponding_institution_ids":["https://openalex.org/I165779595","https://openalex.org/I71270174"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12459989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"686","last_page":"691"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.6251000165939331,"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"}},"topics":[{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.6251000165939331,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5704451203346252},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5383530259132385},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.42495909333229065},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37805068492889404},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33707714080810547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2324625551700592}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5704451203346252},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5383530259132385},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.42495909333229065},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37805068492889404},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33707714080810547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2324625551700592},{"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:10.23919/acc63710.2025.11107705","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107705","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1468015989","https://openalex.org/W1487586009","https://openalex.org/W1494380031","https://openalex.org/W1527296550","https://openalex.org/W1552025512","https://openalex.org/W1970266193","https://openalex.org/W2008455282","https://openalex.org/W2021092589","https://openalex.org/W2038887391","https://openalex.org/W2046972933","https://openalex.org/W2049567323","https://openalex.org/W2077251982","https://openalex.org/W2095246006","https://openalex.org/W2911840222","https://openalex.org/W4249513058","https://openalex.org/W4293820388","https://openalex.org/W4302367620"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W3036464408","https://openalex.org/W2020990755","https://openalex.org/W2377851227","https://openalex.org/W4293088966","https://openalex.org/W2366868484","https://openalex.org/W2102212721","https://openalex.org/W2917463375","https://openalex.org/W2155219672"],"abstract_inverted_index":{"With":[0],"a":[1,18,52,60],"view":[2],"to":[3,12],"generalizing":[4],"existing":[5],"max-plus":[6,54],"and":[7],"min-plus":[8],"methods":[9],"so":[10],"as":[11,48],"use":[13],"quadratic":[14,38],"basis":[15],"functions":[16],"with":[17],"non-uniform":[19],"Hessian,":[20],"the":[21,31,37,49,57],"underlying":[22],"dual":[23],"space":[24],"representation":[25],"of":[26,51,59,62],"dynamic":[27],"programming":[28],"founded":[29],"on":[30],"semiconvex":[32],"transform":[33],"is":[34,46],"generalized":[35],"via":[36],"transform.":[39],"Using":[40],"this":[41],"generalization,":[42],"an":[43],"illustrative":[44],"iteration":[45],"proposed":[47],"foundation":[50],"new":[53],"method":[55],"for":[56],"solution":[58],"class":[61],"optimal":[63],"control":[64],"problems.":[65]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}