{"id":"https://openalex.org/W3038833716","doi":"https://doi.org/10.1109/lcsys.2020.3005326","title":"Piecewise Semi-Ellipsoidal Control Invariant Sets","display_name":"Piecewise Semi-Ellipsoidal Control Invariant Sets","publication_year":2020,"publication_date":"2020-06-27","ids":{"openalex":"https://openalex.org/W3038833716","doi":"https://doi.org/10.1109/lcsys.2020.3005326","mag":"3038833716"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2020.3005326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3005326","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.02770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029044993","display_name":"Beno\u00eet Legat","orcid":"https://orcid.org/0000-0002-5921-368X"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Beno\u00eet Legat","raw_affiliation_strings":["ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-5921-368X","affiliations":[{"raw_affiliation_string":"ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002679142","display_name":"Sa\u0161a V. Rakovi\u0107","orcid":"https://orcid.org/0000-0002-5402-0483"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sa\u0161a V. Rakovi\u0107","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-5402-0483","affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056625594","display_name":"Rapha\u00ebl M. Jungers","orcid":"https://orcid.org/0000-0002-7789-0940"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Rapha\u00ebl M. Jungers","raw_affiliation_strings":["ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-7789-0940","affiliations":[{"raw_affiliation_string":"ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0285,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86053131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"5","issue":"3","first_page":"755","last_page":"760"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991000294685364,"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":0.9991000294685364,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9962999820709229,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9886999726295471,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.8617295622825623},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7655632495880127},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.7653856873512268},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5290975570678711},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5065146684646606},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48983022570610046},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4831113815307617},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3289526700973511},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3255402445793152},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24869132041931152},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19720005989074707},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18509554862976074},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10414063930511475}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8617295622825623},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7655632495880127},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.7653856873512268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5290975570678711},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5065146684646606},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48983022570610046},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4831113815307617},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3289526700973511},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3255402445793152},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24869132041931152},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19720005989074707},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18509554862976074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10414063930511475},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lcsys.2020.3005326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3005326","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2007.02770","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.02770","pdf_url":"https://arxiv.org/pdf/2007.02770","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:dial.uclouvain.be:boreal:240462","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/240462","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"IEEE Control Systems Letters, Vol. 5, no.3, p. 755-760 (2021)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:240515","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/240515","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"IEEE Conference on Decision and Control. Proceedings,","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.02770","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.02770","pdf_url":"https://arxiv.org/pdf/2007.02770","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322852","display_name":"Innoviris","ror":"https://ror.org/04af9zr29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W653291882","https://openalex.org/W1556970733","https://openalex.org/W1880805667","https://openalex.org/W1937324737","https://openalex.org/W2019807156","https://openalex.org/W2079135578","https://openalex.org/W2099212405","https://openalex.org/W2120575449","https://openalex.org/W2129492921","https://openalex.org/W2133404041","https://openalex.org/W2329719292","https://openalex.org/W2546437330","https://openalex.org/W2800787305","https://openalex.org/W2963207386","https://openalex.org/W2963621695","https://openalex.org/W3002909566","https://openalex.org/W3004731441","https://openalex.org/W3038833716","https://openalex.org/W3105558219","https://openalex.org/W3119601369","https://openalex.org/W3210839039","https://openalex.org/W4231039456","https://openalex.org/W4249513058","https://openalex.org/W4389071979","https://openalex.org/W6633326254","https://openalex.org/W6679392325"],"related_works":["https://openalex.org/W2971340537","https://openalex.org/W2797788337","https://openalex.org/W2113001792","https://openalex.org/W2046210743","https://openalex.org/W4294541085","https://openalex.org/W1511346678","https://openalex.org/W2030136392","https://openalex.org/W1584292662","https://openalex.org/W1857475410","https://openalex.org/W2125570479"],"abstract_inverted_index":{"Computing":[0],"control":[1,25,49,91],"invariant":[2,26,43,50,92],"sets":[3,12,93],"is":[4,33],"paramount":[5],"in":[6,67,82],"many":[7],"applications.":[8],"The":[9],"families":[10,76],"of":[11,31,61,73,94],"commonly":[13],"used":[14],"for":[15,23,35,89],"computations":[16],"are":[17,77],"ellipsoids":[18,32],"and":[19],"polyhedra.":[20],"However,":[21],"searching":[22],"a":[24,85],"set":[27,51],"over":[28],"the":[29,48,59,62],"family":[30],"conservative":[34],"systems":[36],"more":[37],"complex":[38],"than":[39],"unconstrained":[40],"linear":[41],"time":[42],"systems.":[44],"Moreover,":[45],"even":[46],"if":[47],"may":[52,64],"be":[53],"approximated":[54],"arbitrarily":[55],"closely":[56],"by":[57],"polyhedra,":[58],"complexity":[60],"polyhedra":[63],"grow":[65],"rapidly":[66],"certain":[68],"directions.":[69],"An":[70],"attractive":[71],"generalization":[72],"these":[74],"two":[75],"piecewise":[78],"semi-ellipsoids.":[79],"We":[80],"provide":[81],"this":[83,95],"letter":[84],"convex":[86],"programming":[87],"approach":[88],"computing":[90],"family.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
