{"id":"https://openalex.org/W2112891890","doi":"https://doi.org/10.1109/cdc.2010.5717263","title":"The minimum principle for hybrid systems with partitioned state space and unspecified discrete state sequence","display_name":"The minimum principle for hybrid systems with partitioned state space and unspecified discrete state sequence","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2112891890","doi":"https://doi.org/10.1109/cdc.2010.5717263","mag":"2112891890"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717263","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5021830094","display_name":"Benjamin Passenberg","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benjamin Passenberg","raw_affiliation_strings":["Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Munchen, Germany","Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Munchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044187847","display_name":"Peter E. Caines","orcid":"https://orcid.org/0000-0002-5248-9456"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Peter E. Caines","raw_affiliation_strings":["Department of Electrical and Computer Engineering and the Center of Intelligent Machines, McGill University, Montreal, Canada","Dept. of Electrical and Computer Eng. and the Center for Intelligent Machines, McGill University, Montr\u00e9al, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and the Center of Intelligent Machines, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Eng. and the Center for Intelligent Machines, McGill University, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111500835","display_name":"Marion Sobotka","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marion Sobotka","raw_affiliation_strings":["Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Munchen, Germany","Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Munchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040756775","display_name":"Olaf Stursberg","orcid":"https://orcid.org/0000-0002-9600-457X"},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Olaf Stursberg","raw_affiliation_strings":["Institute of Control and System Theory, Department of Electrical Engineering and Computer Science, University of Kassel, Kassel, Germany","Institute of Control and System Theory, Department of Electrical Engineering and Computer Science, University of Kassel, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control and System Theory, Department of Electrical Engineering and Computer Science, University of Kassel, Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]},{"raw_affiliation_string":"Institute of Control and System Theory, Department of Electrical Engineering and Computer Science, University of Kassel, Germany#TAB#","institution_ids":["https://openalex.org/I106157433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081223790","display_name":"Martin Buss","orcid":"https://orcid.org/0000-0002-1776-2752"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Buss","raw_affiliation_strings":["Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Munchen, Germany","Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Munchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Institute of Automatic Control, Department of Electrical Engineering and Information Technology, Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6666","last_page":"6673"},"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9740999937057495,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9664999842643738,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7476634979248047},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.7210161685943604},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7158928513526917},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.6389760971069336},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.6224895715713501},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.581702709197998},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5636807680130005},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5434338450431824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5077239274978638},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4915409982204437},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4899581968784332},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.47129499912261963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43937358260154724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3633238971233368},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06901878118515015}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7476634979248047},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.7210161685943604},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7158928513526917},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.6389760971069336},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.6224895715713501},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.581702709197998},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5636807680130005},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5434338450431824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5077239274978638},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4915409982204437},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4899581968784332},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.47129499912261963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43937358260154724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3633238971233368},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06901878118515015},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2010.5717263","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.174.4967","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.174.4967","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsr.ei.tum.de/fileadmin/publications/passenberg/CDC10_TheoryReview.pdf","raw_type":"text"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1081990","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1081990","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ConferencePaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1499788862","https://openalex.org/W1518426944","https://openalex.org/W1530117215","https://openalex.org/W1587799944","https://openalex.org/W1897974356","https://openalex.org/W1964400753","https://openalex.org/W1977985274","https://openalex.org/W1998132423","https://openalex.org/W2013247359","https://openalex.org/W2028475708","https://openalex.org/W2057794519","https://openalex.org/W2083122976","https://openalex.org/W2102347640","https://openalex.org/W2103711995","https://openalex.org/W2121834511","https://openalex.org/W2126554300","https://openalex.org/W2128577397","https://openalex.org/W2143847391","https://openalex.org/W2152185829","https://openalex.org/W2334591577","https://openalex.org/W2742727141","https://openalex.org/W3108022129","https://openalex.org/W3206777520","https://openalex.org/W4247262579","https://openalex.org/W6629812414","https://openalex.org/W6631668509","https://openalex.org/W6635231448","https://openalex.org/W6639853348","https://openalex.org/W6641448099","https://openalex.org/W6649744680","https://openalex.org/W6678513270","https://openalex.org/W6742485731"],"related_works":["https://openalex.org/W2348909947","https://openalex.org/W4292672442","https://openalex.org/W2362101859","https://openalex.org/W2941610985","https://openalex.org/W2791431590","https://openalex.org/W1978900583","https://openalex.org/W1953521331","https://openalex.org/W88291087","https://openalex.org/W2141659482","https://openalex.org/W1535620068"],"abstract_inverted_index":{"The":[0,113],"hybrid":[1,16,47,78],"minimum":[2],"principle":[3],"(HMP)":[4],"gives":[5],"necessary":[6,55],"conditions":[7,56],"to":[8,53,117],"be":[9],"satisfied":[10],"for":[11,24,46,57,73,85,106],"optimal":[12,58,79,103,120,125],"solutions":[13],"of":[14,65,77,90,98,110,124,145],"a":[15,134],"dynamical":[17],"system.":[18],"In":[19,38],"particular,":[20],"the":[21,33,41,74,99,119,143,150],"HMP":[22,43,100],"accounts":[23],"autonomous":[25],"switching":[26,36,66],"between":[27],"discrete":[28,111],"states":[29],"that":[30,60,127],"occurs":[31],"whenever":[32],"trajectory":[34],"hits":[35],"manifolds.":[37,67],"this":[39],"paper,":[40],"existing":[42],"is":[44,70,128],"extended":[45,151],"systems":[48],"with":[49,87],"partitioned":[50],"state":[51],"space":[52],"provide":[54],"trajectories":[59],"pass":[61],"through":[62],"an":[63,146],"intersection":[64],"This":[68],"extension":[69,114],"especially":[71],"useful":[72],"numerical":[75,140],"solution":[76],"control":[80,104,126],"problems":[81,105],"as":[82,122],"it":[83],"allows":[84],"algorithms":[86],"significant":[88],"reduction":[89],"computational":[91],"complexity.":[92],"Algorithms":[93],"based":[94,148],"on":[95,149],"previous":[96],"versions":[97],"solve":[101],"separate":[102],"each":[107],"possible":[108],"sequence":[109,121],"states.":[112],"enables":[115],"us":[116],"consider":[118],"subject":[123],"varied":[129],"and":[130],"finally":[131],"determined":[132],"during":[133],"single":[135],"optimization":[136],"run.":[137],"A":[138],"first":[139],"result":[141],"illustrates":[142],"effectiveness":[144],"algorithm":[147],"HMP.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
