{"id":"https://openalex.org/W2016043649","doi":"https://doi.org/10.1145/2185632.2185651","title":"A generic ellipsoid abstract domain for linear time invariant systems","display_name":"A generic ellipsoid abstract domain for linear time invariant systems","publication_year":2012,"publication_date":"2012-04-17","ids":{"openalex":"https://openalex.org/W2016043649","doi":"https://doi.org/10.1145/2185632.2185651","mag":"2016043649"},"language":"en","primary_location":{"id":"doi:10.1145/2185632.2185651","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2185632.2185651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00608673","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101715842","display_name":"Pierre Le Roux","orcid":"https://orcid.org/0000-0002-0512-0437"},"institutions":[{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Roux","raw_affiliation_strings":["ONERA, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ONERA, Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080867529","display_name":"Romain Jobredeaux","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Romain Jobredeaux","raw_affiliation_strings":["Georgia Tech, Atlanta, GA, USA","Georgia Tech, Atlanta, GA., USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Tech, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Georgia Tech, Atlanta, GA., USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025996200","display_name":"Pierre-Lo\u00efc Garoche","orcid":"https://orcid.org/0000-0002-0513-6076"},"institutions":[{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre-Lo\u00efc Garoche","raw_affiliation_strings":["ONERA, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ONERA, Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041459160","display_name":"\u00c9ric F\u00e9ron","orcid":"https://orcid.org/0000-0001-7717-2159"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"\u00c9ric F\u00e9ron","raw_affiliation_strings":["Georgia Tech, Atlanta, GA, USA","Georgia Tech, Atlanta, GA., USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Tech, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Georgia Tech, Atlanta, GA., USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"105","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9979000091552734,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9979000091552734,"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.6885064840316772},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6588285565376282},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6303998827934265},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6287745237350464},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.5984808802604675},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.5315487384796143},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5107882022857666},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5079968571662903},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46164482831954956},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4495750665664673},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3943938910961151},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3171600103378296},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2960290312767029},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07437390089035034}],"concepts":[{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.6885064840316772},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6588285565376282},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6303998827934265},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6287745237350464},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.5984808802604675},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.5315487384796143},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5107882022857666},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5079968571662903},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46164482831954956},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4495750665664673},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3943938910961151},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3171600103378296},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2960290312767029},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07437390089035034},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/2185632.2185651","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2185632.2185651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.635.9693","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.635.9693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal-onera.archives-ouvertes.fr/docs/00/60/88/25/PDF/submissionVMCAI.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.659.4621","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.659.4621","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso.ens-lyon.fr/pierre.roux/media/submission_hscc2012.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00608673v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00608673","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"2011","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00608673v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00608673","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"2011","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W53671252","https://openalex.org/W98147868","https://openalex.org/W178079818","https://openalex.org/W645921674","https://openalex.org/W1528042415","https://openalex.org/W1531851716","https://openalex.org/W1608230613","https://openalex.org/W1705501928","https://openalex.org/W1863722042","https://openalex.org/W1896502719","https://openalex.org/W1924349676","https://openalex.org/W2002757059","https://openalex.org/W2014764321","https://openalex.org/W2043100293","https://openalex.org/W2059040484","https://openalex.org/W2061830070","https://openalex.org/W2104021743","https://openalex.org/W2113159073","https://openalex.org/W2114614628","https://openalex.org/W2130084210","https://openalex.org/W2136333450","https://openalex.org/W2142481893","https://openalex.org/W2987077139","https://openalex.org/W3186624155","https://openalex.org/W3210839039","https://openalex.org/W4250854681","https://openalex.org/W6636400565","https://openalex.org/W6651258191","https://openalex.org/W6877541541"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W2276636510","https://openalex.org/W3163145068","https://openalex.org/W2105658174","https://openalex.org/W1990421243","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":{"Embedded":[0],"system":[1,20],"control":[2],"often":[3],"relies":[4],"on":[5,40,58],"linear":[6,19,29],"systems,":[7],"which":[8],"admit":[9],"quadratic":[10],"invariants.":[11],"The":[12],"parts":[13],"of":[14,62],"the":[15],"code":[16],"that":[17,54],"host":[18],"implementations":[21],"need":[22],"dedicated":[23],"analysis":[24],"tools,":[25],"since":[26],"intervals":[27],"or":[28],"abstract":[30],"domains":[31],"will":[32],"give":[33],"imprecise":[34],"results,":[35],"if":[36],"any":[37],"at":[38],"all,":[39],"these":[41],"systems.":[42],"Previous":[43],"work":[44],"by":[45],"FERET":[46],"proposes":[47],"a":[48,59],"specific":[49,60],"abstraction":[50],"for":[51],"digital":[52],"filters":[53],"addresses":[55],"this":[56],"issue":[57],"class":[61],"controllers.":[63]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
