{"id":"https://openalex.org/W1969280568","doi":"https://doi.org/10.1109/tac.2014.2336992","title":"Inverse Parametric Optimization With an Application to Hybrid System Control","display_name":"Inverse Parametric Optimization With an Application to Hybrid System Control","publication_year":2014,"publication_date":"2014-09-25","ids":{"openalex":"https://openalex.org/W1969280568","doi":"https://doi.org/10.1109/tac.2014.2336992","mag":"1969280568"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2336992","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2336992","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic 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/A5034761028","display_name":"Andreas B. Hempel","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Andreas B. Hempel","raw_affiliation_strings":["Automatic Control Laboratory, University of Oxford, Parks Road, Oxford, U.K","[Autom. Control Lab., ETH Zurich, Z\u00fcrich, Switzerland]"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, University of Oxford, Parks Road, Oxford, U.K","institution_ids":[]},{"raw_affiliation_string":"[Autom. Control Lab., ETH Zurich, Z\u00fcrich, Switzerland]","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001694225","display_name":"Paul J. Goulart","orcid":"https://orcid.org/0000-0002-0456-4124"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Paul J. Goulart","raw_affiliation_strings":["Automatic Control Laboratory, University of Oxford, Parks Road, Oxford, U.K","[Autom. Control Lab., ETH Zurich, Z\u00fcrich, Switzerland]"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, University of Oxford, Parks Road, Oxford, U.K","institution_ids":[]},{"raw_affiliation_string":"[Autom. Control Lab., ETH Zurich, Z\u00fcrich, Switzerland]","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007359599","display_name":"John Lygeros","orcid":"https://orcid.org/0000-0002-6159-1962"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"John Lygeros","raw_affiliation_strings":["Automatic Control Laboratory, University of Oxford, Parks Road, Oxford, U.K","[Autom. Control Lab., ETH Zurich, Z\u00fcrich, Switzerland]"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, University of Oxford, Parks Road, Oxford, U.K","institution_ids":[]},{"raw_affiliation_string":"[Autom. Control Lab., ETH Zurich, Z\u00fcrich, Switzerland]","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034761028"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":6.7548,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.9704805,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"4","first_page":"1064","last_page":"1069"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987999796867371,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980999827384949,"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/parametric-statistics","display_name":"Parametric statistics","score":0.7232115268707275},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6545025110244751},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.6149347424507141},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5834219455718994},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5631363391876221},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5488380789756775},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5475685000419617},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5345081090927124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48279130458831787},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.44467073678970337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4143370985984802},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.34511369466781616}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7232115268707275},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6545025110244751},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.6149347424507141},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5834219455718994},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5631363391876221},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5488380789756775},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5475685000419617},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5345081090927124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48279130458831787},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.44467073678970337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4143370985984802},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.34511369466781616},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2336992","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2336992","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G951692099","display_name":null,"funder_award_id":"FP7-ICT-257462 (HYCON2)","funder_id":"https://openalex.org/F4320333065","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320333065","display_name":"Seventh Framework Programme","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W65143201","https://openalex.org/W81972919","https://openalex.org/W217831350","https://openalex.org/W1484024531","https://openalex.org/W1551020779","https://openalex.org/W1963932222","https://openalex.org/W1967005434","https://openalex.org/W1970916399","https://openalex.org/W1977985274","https://openalex.org/W1993170675","https://openalex.org/W1999856942","https://openalex.org/W1999874108","https://openalex.org/W2007093507","https://openalex.org/W2023599497","https://openalex.org/W2029282549","https://openalex.org/W2042460431","https://openalex.org/W2042547475","https://openalex.org/W2064630832","https://openalex.org/W2064874554","https://openalex.org/W2072508748","https://openalex.org/W2072714176","https://openalex.org/W2073007953","https://openalex.org/W2107308405","https://openalex.org/W2124659975","https://openalex.org/W2125554177","https://openalex.org/W2131389047","https://openalex.org/W2144935407","https://openalex.org/W2169337538","https://openalex.org/W2169411411","https://openalex.org/W2172919882","https://openalex.org/W2504985587","https://openalex.org/W2911796152","https://openalex.org/W2962880350","https://openalex.org/W4210899143","https://openalex.org/W4231147659","https://openalex.org/W4246108584","https://openalex.org/W4249513058","https://openalex.org/W4396960891","https://openalex.org/W6628877975","https://openalex.org/W6632845631","https://openalex.org/W6660967284","https://openalex.org/W6666776478","https://openalex.org/W6668794867"],"related_works":["https://openalex.org/W1994745260","https://openalex.org/W2012267561","https://openalex.org/W2382404424","https://openalex.org/W4237041411","https://openalex.org/W3018909868","https://openalex.org/W3040509871","https://openalex.org/W346502433","https://openalex.org/W4300511218","https://openalex.org/W2602511199","https://openalex.org/W2128363130"],"abstract_inverted_index":{"We":[0,17,50],"present":[1],"a":[2,38,45],"number":[3],"of":[4,29,41,59],"results":[5,53],"on":[6],"inverse":[7],"parametric":[8,47],"optimization":[9,48,89],"and":[10,65,91],"its":[11],"application":[12,55],"to":[13,44,56,71],"hybrid":[14],"system":[15],"control.":[16],"show":[18,66],"that":[19,22,67],"any":[20],"function":[21],"can":[23,33,84],"be":[24,35,85],"written":[25,36],"as":[26,37,75,87],"the":[27,42,57],"difference":[28],"two":[30],"convex":[31,46],"functions":[32],"also":[34],"linear":[39],"mapping":[40],"solution":[43],"problem.":[49],"exploit":[51],"these":[52],"in":[54],"control":[58,79],"systems":[60,74,83],"with":[61,93],"piecewise":[62],"affine":[63],"dynamics,":[64],"it":[68],"is":[69],"possible":[70],"model":[72],"such":[73,82],"optimizing":[76],"processes.":[77],"Optimal":[78],"problems":[80,90],"for":[81],"remodeled":[86],"bilevel":[88],"solved":[92],"existing":[94],"techniques.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}