{"id":"https://openalex.org/W2902576371","doi":"https://doi.org/10.1109/cdc.2018.8619642","title":"A Primal Active-Set Minimal-Representation Algorithm for Polytopes with Application to Invariant-Set Calculations","display_name":"A Primal Active-Set Minimal-Representation Algorithm for Polytopes with Application to Invariant-Set Calculations","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2902576371","doi":"https://doi.org/10.1109/cdc.2018.8619642","mag":"2902576371"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8619642","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619642","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","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/A5090809304","display_name":"Emil Klintberg","orcid":"https://orcid.org/0000-0003-2750-2927"},"institutions":[{"id":"https://openalex.org/I4210086940","display_name":"Zenuity (Sweden)","ror":"https://ror.org/000dpyn16","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210086940"]},{"id":"https://openalex.org/I4210109626","display_name":"Qamcom Research and Technology (Sweden)","ror":"https://ror.org/01jkn7h76","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210109626"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Emil Klintberg","raw_affiliation_strings":["Zenuity AB and Qamcom Research and Technology AB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zenuity AB and Qamcom Research and Technology AB","institution_ids":["https://openalex.org/I4210109626","https://openalex.org/I4210086940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101856788","display_name":"Magnus Nilsson","orcid":"https://orcid.org/0000-0003-3186-9932"},"institutions":[{"id":"https://openalex.org/I4210086940","display_name":"Zenuity (Sweden)","ror":"https://ror.org/000dpyn16","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210086940"]},{"id":"https://openalex.org/I4210109626","display_name":"Qamcom Research and Technology (Sweden)","ror":"https://ror.org/01jkn7h76","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210109626"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Magnus Nilsson","raw_affiliation_strings":["Zenuity AB and Qamcom Research and Technology AB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zenuity AB and Qamcom Research and Technology AB","institution_ids":["https://openalex.org/I4210109626","https://openalex.org/I4210086940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068291563","display_name":"Lars Johannesson M\u00e5rdh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210086940","display_name":"Zenuity (Sweden)","ror":"https://ror.org/000dpyn16","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210086940"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Lars Johannesson Mardh","raw_affiliation_strings":["Zenuity AB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zenuity AB","institution_ids":["https://openalex.org/I4210086940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001183875","display_name":"Ankit Gupta","orcid":"https://orcid.org/0000-0002-5628-3623"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Ankit Gupta","raw_affiliation_strings":["Department of Electrical Engineering, Chalmers University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Chalmers University of Technology","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6545,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83377436,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"6862","last_page":"6867"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983999729156494,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/polytope","display_name":"Polytope","score":0.7480292320251465},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6427021026611328},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5668652057647705},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5634229779243469},{"id":"https://openalex.org/keywords/active-set-method","display_name":"Active set method","score":0.5431604981422424},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5267231464385986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.497329980134964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35720813274383545},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20298466086387634}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7480292320251465},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6427021026611328},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5668652057647705},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5634229779243469},{"id":"https://openalex.org/C195064452","wikidata":"https://www.wikidata.org/wiki/Q2823740","display_name":"Active set method","level":4,"score":0.5431604981422424},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5267231464385986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.497329980134964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35720813274383545},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20298466086387634},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2018.8619642","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619642","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:research.chalmers.se:505732","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/505732","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:research.chalmers.se:508951","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/8897817a-4489-45ec-9d28-1a9a5bf48984","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W290061288","https://openalex.org/W1776614738","https://openalex.org/W1785854153","https://openalex.org/W1880805667","https://openalex.org/W2011317244","https://openalex.org/W2013439434","https://openalex.org/W2045961034","https://openalex.org/W2051171836","https://openalex.org/W2083371683","https://openalex.org/W2101629603","https://openalex.org/W2127347544","https://openalex.org/W2127470768","https://openalex.org/W2165115747","https://openalex.org/W2170498251","https://openalex.org/W2546000176","https://openalex.org/W2749680651","https://openalex.org/W2796604629","https://openalex.org/W3157244600","https://openalex.org/W4250589301","https://openalex.org/W6638436705"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W1493684871","https://openalex.org/W2886567582","https://openalex.org/W4390962314","https://openalex.org/W4289703404","https://openalex.org/W2999175164","https://openalex.org/W4387265813","https://openalex.org/W4286224459","https://openalex.org/W4320410061","https://openalex.org/W3103454236"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"a":[3,6,18,42],"description":[4],"of":[5,29],"practically":[7],"efficient":[8],"minimal-representation":[9,64],"algorithm":[10,14,65],"for":[11,52,62,67],"polytopes.":[12],"The":[13],"is":[15],"based":[16],"on":[17],"primal":[19,43],"active-set":[20,44,70],"method":[21],"that":[22],"heavily":[23],"exploits":[24],"warm-starts":[25],"and":[26,66],"low-rank":[27],"updates":[28],"matrix":[30],"factorizations":[31],"in":[32],"order":[33],"to":[34],"reduce":[35],"the":[36,63,68],"required":[37],"computational":[38],"work.":[39],"By":[40],"using":[41],"method,":[45],"several":[46],"nonredundant":[47],"inequalities":[48],"can":[49],"be":[50],"identified":[51],"each":[53],"solved":[54],"linear":[55],"program.":[56],"Implementation":[57],"details":[58],"are":[59],"provided":[60],"both":[61],"underlying":[69],"method.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}