{"id":"https://openalex.org/W4388562195","doi":"https://doi.org/10.1109/icstcc59206.2023.10308481","title":"On the inverse optimality of a class of PWA functions through liftings","display_name":"On the inverse optimality of a class of PWA functions through liftings","publication_year":2023,"publication_date":"2023-10-11","ids":{"openalex":"https://openalex.org/W4388562195","doi":"https://doi.org/10.1109/icstcc59206.2023.10308481"},"language":"en","primary_location":{"id":"doi:10.1109/icstcc59206.2023.10308481","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/icstcc59206.2023.10308481","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 27th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04320902/file/On_the_inverse_optimality_of_a_class_of_PWA_functions_through_liftings%20%282%29.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027266397","display_name":"Songlin Yang","orcid":"https://orcid.org/0000-0002-6153-0844"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Songlin Yang","raw_affiliation_strings":["Université Paris-Saclay, CentraleSupélec,Laboratoire des signaux et systèmes,Gif-sur-Yvette,France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Université Paris-Saclay, CentraleSupélec,Laboratoire des signaux et systèmes,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106497955","display_name":"Sorin Olaru","orcid":"https://orcid.org/0000-0003-3256-9595"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sorin Olaru","raw_affiliation_strings":["Université Paris-Saclay, CentraleSupélec,Laboratoire des signaux et systèmes,Gif-sur-Yvette,France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Université Paris-Saclay, CentraleSupélec,Laboratoire des signaux et systèmes,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066774503","display_name":"Pedro Rodr\u00edguez-Ayerbe","orcid":"https://orcid.org/0000-0001-7452-4155"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pedro Rodriguez-Ayerbe","raw_affiliation_strings":["Université Paris-Saclay, CentraleSupélec,Laboratoire des signaux et systèmes,Gif-sur-Yvette,France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Université Paris-Saclay, CentraleSupélec,Laboratoire des signaux et systèmes,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210097418"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"245","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10791","display_name":"Advanced Control Systems Optimization","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/T10876","display_name":"Fault Detection and Control Systems","score":0.9939000010490417,"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/T11053","display_name":"Process Optimization and Integration","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6633635759353638},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.51296466588974},{"id":"https://openalex.org/keywords/geometric-programming","display_name":"Geometric programming","score":0.5105882287025452},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4895268380641937},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4886332154273987},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.48643040657043457},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.48423027992248535},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4836903214454651},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.46278315782546997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4579635262489319},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44710665941238403},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4438949227333069},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4358830153942108},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4225146472454071}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6633635759353638},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.51296466588974},{"id":"https://openalex.org/C20729856","wikidata":"https://www.wikidata.org/wiki/Q2078279","display_name":"Geometric programming","level":2,"score":0.5105882287025452},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4895268380641937},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4886332154273987},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.48643040657043457},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.48423027992248535},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4836903214454651},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.46278315782546997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4579635262489319},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44710665941238403},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4438949227333069},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4358830153942108},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4225146472454071},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icstcc59206.2023.10308481","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/icstcc59206.2023.10308481","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 27th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04320902v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04320902","pdf_url":"https://hal.science/hal-04320902/file/On_the_inverse_optimality_of_a_class_of_PWA_functions_through_liftings%20%282%29.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"27th International Conference on System Theory, Control and Computing, Oct 2023, Timisoara, Romania. ⟨10.1109/ICSTCC59206.2023.10308481⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04320902v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04320902","pdf_url":"https://hal.science/hal-04320902/file/On_the_inverse_optimality_of_a_class_of_PWA_functions_through_liftings%20%282%29.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"27th International Conference on System Theory, Control and Computing, Oct 2023, Timisoara, Romania. ⟨10.1109/ICSTCC59206.2023.10308481⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388562195.pdf","grobid_xml":"https://content.openalex.org/works/W4388562195.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1993170675","https://openalex.org/W2157015186","https://openalex.org/W2168234802","https://openalex.org/W2345172654","https://openalex.org/W2466131335","https://openalex.org/W2497953940","https://openalex.org/W2594616446","https://openalex.org/W2900455797","https://openalex.org/W3115568233","https://openalex.org/W3119028412","https://openalex.org/W4236941824","https://openalex.org/W4365449511","https://openalex.org/W6787510808"],"related_works":["https://openalex.org/W2207963064","https://openalex.org/W2015946634","https://openalex.org/W1841244816","https://openalex.org/W2125819445","https://openalex.org/W1969647684","https://openalex.org/W2895393216","https://openalex.org/W158460010","https://openalex.org/W4293098717","https://openalex.org/W4385791789","https://openalex.org/W4391129831"],"abstract_inverted_index":{"This":[0,44],"paper":[1],"focuses":[2],"on":[3],"the":[4,7,11,26,47,51,72,79,83,89,108],"(re-)construction":[5],"of":[6,19,28,50,54,114],"optimal":[8],"solution":[9,53,73],"for":[10,33,88,107],"multi-parameter":[12],"quadratic":[13],"programming":[14],"(mpQP)":[15],"problems.":[16],"optimization":[17,110],"problems":[18],"this":[20,115],"nature":[21],"are":[22,42,103],"widely":[23],"employed":[24],"in":[25],"formulation":[27],"model-based":[29],"predictive":[30],"controllers":[31],"(MPC)":[32],"discrete":[34],"linear":[35],"systems,":[36],"wherein":[37],"input":[38],"and":[39,58,85,98],"state":[40],"constraints":[41],"imposed.":[43],"study":[45],"examines":[46],"geometric":[48],"characteristics":[49],"explicit":[52],"an":[55,67,120],"mpQP":[56,69],"problem":[57],"introduces":[59],"a":[60,76,99],"novel":[61],"convex-concave":[62],"lifting":[63,106],"technique":[64],"to":[65,75],"synthesize":[66],"equivalent":[68,109],"problem.":[70,111],"Whenever":[71],"corresponds":[74],"PWA":[77],"function,":[78],"present":[80],"approach":[81],"maintains":[82],"structure":[84],"control":[86],"laws":[87],"original":[90],"systems.":[91],"A":[92],"new":[93],"(less":[94],"complex)":[95],"cost":[96],"function":[97],"corresponding":[100],"feasible":[101],"domain":[102],"constructed":[104],"through":[105,119],"The":[112],"effectiveness":[113],"strategy":[116],"is":[117],"demonstrated":[118],"illustrative":[121],"example.":[122]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}