{"id":"https://openalex.org/W4210520717","doi":"https://doi.org/10.1109/cdc45484.2021.9683221","title":"An iterative algorithm for volume maximization of N-step backward reachable sets for constrained linear time-varying systems","display_name":"An iterative algorithm for volume maximization of N-step backward reachable sets for constrained linear time-varying systems","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210520717","doi":"https://doi.org/10.1109/cdc45484.2021.9683221"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683221","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.chalmers.se/publication/529085/file/529085_Fulltext.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042870386","display_name":"Stefan Kojchev","orcid":"https://orcid.org/0000-0002-7976-1704"},"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"]},{"id":"https://openalex.org/I1340210623","display_name":"Volvo (Sweden)","ror":"https://ror.org/05b6ypc36","country_code":"SE","type":"company","lineage":["https://openalex.org/I1340210623"]},{"id":"https://openalex.org/I4210100925","display_name":"Autonomous Solutions (United States)","ror":"https://ror.org/015zgtx05","country_code":"US","type":"company","lineage":["https://openalex.org/I4210100925"]}],"countries":["SE","US"],"is_corresponding":true,"raw_author_name":"Stefan Kojchev","raw_affiliation_strings":["Volvo Autonomous Solutions and the Mechatronics Group, Systems and Control, Chalmers University of Technology"],"affiliations":[{"raw_affiliation_string":"Volvo Autonomous Solutions and the Mechatronics Group, Systems and Control, Chalmers University of Technology","institution_ids":["https://openalex.org/I1340210623","https://openalex.org/I4210100925","https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001183875","display_name":"Ankit Gupta","orcid":"https://orcid.org/0000-0002-5628-3623"},"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":"Ankit Gupta","raw_affiliation_strings":["Zenseact AB, G\u00f6teborg, Sweden"],"affiliations":[{"raw_affiliation_string":"Zenseact AB, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I4210086940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011507645","display_name":"Robert Hult","orcid":"https://orcid.org/0000-0002-1337-3880"},"institutions":[{"id":"https://openalex.org/I1340210623","display_name":"Volvo (Sweden)","ror":"https://ror.org/05b6ypc36","country_code":"SE","type":"company","lineage":["https://openalex.org/I1340210623"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Robert Hult","raw_affiliation_strings":["Volvo Autonomous Solutions, G\u00f6teborg, Sweden"],"affiliations":[{"raw_affiliation_string":"Volvo Autonomous Solutions, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I1340210623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012623700","display_name":"Jonas Fredriksson","orcid":"https://orcid.org/0000-0002-9814-6416"},"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":"Jonas Fredriksson","raw_affiliation_strings":["Mechatronics Group, Systems and Control, Chalmers University of Technology, G\u00f6teborg, Sweden"],"affiliations":[{"raw_affiliation_string":"Mechatronics Group, Systems and Control, Chalmers University of Technology, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042870386"],"corresponding_institution_ids":["https://openalex.org/I1340210623","https://openalex.org/I4210100925","https://openalex.org/I66862912"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.24410686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"5027","last_page":"5032"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9921000003814697,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9907000064849854,"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/reachability","display_name":"Reachability","score":0.8972793817520142},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6474212408065796},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6140661239624023},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5555105805397034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5385639667510986},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.522611677646637},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5190318822860718},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4918382167816162},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4767483174800873},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46554502844810486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4622488021850586},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4593416154384613},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4586924910545349},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4334186315536499},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4266243577003479},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.4239211976528168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38882380723953247},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.335194855928421},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28288114070892334},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0761440098285675}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8972793817520142},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6474212408065796},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6140661239624023},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5555105805397034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5385639667510986},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.522611677646637},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5190318822860718},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4918382167816162},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4767483174800873},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46554502844810486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4622488021850586},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4593416154384613},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4586924910545349},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4334186315536499},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4266243577003479},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4239211976528168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38882380723953247},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.335194855928421},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28288114070892334},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0761440098285675},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683221","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:research.chalmers.se:529085","is_oa":true,"landing_page_url":"https://research.chalmers.se/en/publication/529085","pdf_url":"https://research.chalmers.se/publication/529085/file/529085_Fulltext.pdf","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":""}],"best_oa_location":{"id":"pmh:oai:research.chalmers.se:529085","is_oa":true,"landing_page_url":"https://research.chalmers.se/en/publication/529085","pdf_url":"https://research.chalmers.se/publication/529085/file/529085_Fulltext.pdf","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":""},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7900000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321030","display_name":"VINNOVA","ror":"https://ror.org/01kd5m353"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4210520717.pdf","grobid_xml":"https://content.openalex.org/works/W4210520717.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1524886571","https://openalex.org/W1880805667","https://openalex.org/W1927395284","https://openalex.org/W1997595810","https://openalex.org/W1999102455","https://openalex.org/W2008809176","https://openalex.org/W2021667711","https://openalex.org/W2024318675","https://openalex.org/W2089915742","https://openalex.org/W2140214428","https://openalex.org/W2162791642","https://openalex.org/W2170498251","https://openalex.org/W2749680651","https://openalex.org/W2806063511","https://openalex.org/W2898957363","https://openalex.org/W2902576371","https://openalex.org/W2941851444","https://openalex.org/W3114355749"],"related_works":["https://openalex.org/W2136512912","https://openalex.org/W2127267268","https://openalex.org/W2156446763","https://openalex.org/W2067910792","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W2889071233","https://openalex.org/W4321471459","https://openalex.org/W2367938014","https://openalex.org/W2201623492"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,38,41,47,61,71,74,78,100],"computation":[6],"of":[7,40,56,64,73,85],"robust":[8,42],"N-step":[9,43],"backward":[10,95],"reachable":[11,44],"sets":[12],"for":[13,46,82],"state-":[14],"and":[15,59,88,103],"input":[16],"con-":[17],"strained":[18],"linear":[19],"time-varying":[20,33],"systems":[21],"with":[22],"additive":[23],"uncertainty.":[24],"We":[25,69],"propose":[26],"a":[27,31,104],"method":[28,52,76],"to":[29,91,99],"compute":[30],"linear,":[32],"control":[34,80],"law":[35],"that":[36],"maximizes":[37],"volume":[39],"set":[45],"closed-loop":[48],"system.":[49],"The":[50],"proposed":[51,75],"is":[53,97],"an":[54],"extension":[55],"recent":[57],"developments":[58],"involves":[60],"recursive":[62],"solution":[63],"N":[65],"semi-definite":[66],"programs":[67],"(SDP).":[68],"demonstrate":[70],"performance":[72],"on":[77],"lateral":[79],"problem":[81],"emergency":[83],"maneuvers":[84],"autonomous":[86],"vehicles":[87],"compare":[89],"it":[90],"results":[92],"obtained":[93],"when":[94],"reachability":[96],"applied":[98],"same":[101],"system":[102],"naively":[105],"designed":[106],"controller.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}