{"id":"https://openalex.org/W4400946158","doi":"https://doi.org/10.23919/ecc64448.2024.10590884","title":"Search-based and Stochastic Solutions to the Zonotope and Ellipsotope Containment Problems","display_name":"Search-based and Stochastic Solutions to the Zonotope and Ellipsotope Containment Problems","publication_year":2024,"publication_date":"2024-06-25","ids":{"openalex":"https://openalex.org/W4400946158","doi":"https://doi.org/10.23919/ecc64448.2024.10590884"},"language":"en","primary_location":{"id":"doi:10.23919/ecc64448.2024.10590884","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc64448.2024.10590884","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://mediatum.ub.tum.de/1750874","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070444064","display_name":"Adrian Kulmburg","orcid":"https://orcid.org/0000-0001-6579-2983"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Adrian Kulmburg","raw_affiliation_strings":["Technische Universität München,Chair of Robotics, Artificial Intelligence and Real-time Systems,Garching b. München,Germany,85748"],"affiliations":[{"raw_affiliation_string":"Technische Universität München,Chair of Robotics, Artificial Intelligence and Real-time Systems,Garching b. München,Germany,85748","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105015728","display_name":"Ivan Brkan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ivan Brkan","raw_affiliation_strings":["Technische Universität München,Chair of Robotics, Artificial Intelligence and Real-time Systems,Garching b. München,Germany,85748"],"affiliations":[{"raw_affiliation_string":"Technische Universität München,Chair of Robotics, Artificial Intelligence and Real-time Systems,Garching b. München,Germany,85748","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005383495","display_name":"Matthias Althoff","orcid":"https://orcid.org/0000-0003-3733-842X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matthias Althoff","raw_affiliation_strings":["Technische Universität München,Chair of Robotics, Artificial Intelligence and Real-time Systems,Garching b. München,Germany,85748"],"affiliations":[{"raw_affiliation_string":"Technische Universität München,Chair of Robotics, Artificial Intelligence and Real-time Systems,Garching b. München,Germany,85748","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070444064"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3814,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62025948,"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":"1057","last_page":"1064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9480000138282776,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12176","display_name":"Optimization and Packing Problems","score":0.9480000138282776,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/containment","display_name":"Containment (computer programming)","score":0.8701928853988647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6653903722763062},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3336673378944397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1758839190006256},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08898451924324036}],"concepts":[{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.8701928853988647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6653903722763062},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3336673378944397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1758839190006256},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08898451924324036}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc64448.2024.10590884","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc64448.2024.10590884","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1750874","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1750874","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:mediatum.ub.tum.de:node/1750874","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1750874","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1968718177","https://openalex.org/W1972194652","https://openalex.org/W2159000620","https://openalex.org/W2339842460","https://openalex.org/W2576277975","https://openalex.org/W2750147881","https://openalex.org/W2835227094","https://openalex.org/W2899036648","https://openalex.org/W3012067785","https://openalex.org/W3176457131","https://openalex.org/W3193161190","https://openalex.org/W4250589301","https://openalex.org/W4285742444","https://openalex.org/W4294365601","https://openalex.org/W4387323735","https://openalex.org/W6749826274","https://openalex.org/W6856755069"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W4252941105","https://openalex.org/W2058080364","https://openalex.org/W2350808199","https://openalex.org/W249480812","https://openalex.org/W3028091058","https://openalex.org/W4235551436","https://openalex.org/W2392382023","https://openalex.org/W2390279801"],"abstract_inverted_index":{"We":[0,51,102],"introduce":[1],"new":[2],"techniques":[3],"to":[4,45,60,76,90,111],"check":[5,49],"whether":[6],"a":[7,41,67],"zonotope":[8],"is":[9,82],"contained":[10],"in":[11,17],"another":[12],"zonotope.":[13],"This":[14],"fundamental":[15],"problem":[16],"control":[18],"theory":[19],"has":[20],"many":[21],"applications,":[22],"such":[23],"as":[24],"the":[25,73,77,80,87,91,95,98,106],"verification":[26,31],"of":[27,32,108],"invariant":[28],"sets,":[29],"formal":[30],"controllers,":[33],"and":[34,47,85,97],"fault":[35],"detection.":[36],"Our":[37],"first":[38,74],"method":[39],"uses":[40],"search-based":[42],"vertex":[43],"enumeration":[44],"quickly":[46],"efficiently":[48],"containment.":[50],"also":[52],"propose":[53],"two":[54],"stochastic":[55,88],"methods":[56,89],"that":[57],"are":[58,100],"able":[59],"rapidly":[61],"disprove":[62],"or":[63],"confirm":[64],"containment":[65],"with":[66],"certain":[68],"probability.":[69],"Furthermore,":[70],"we":[71],"generalize":[72,86],"approach":[75],"case":[78,92],"where":[79,93],"circumbody":[81,99],"an":[83],"ellipsotope":[84],"both":[94],"inbody":[96],"ellipsotopes.":[101],"conclude":[103],"by":[104],"comparing":[105],"efficiency":[107],"our":[109],"algorithms":[110],"currently":[112],"available":[113],"ones.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}