{"id":"https://openalex.org/W2340722762","doi":"https://doi.org/10.1145/2883817.2883821","title":"Generating Unstable Trajectories for Switched Systems via Dual Sum-Of-Squares Techniques","display_name":"Generating Unstable Trajectories for Switched Systems via Dual Sum-Of-Squares Techniques","publication_year":2016,"publication_date":"2016-04-11","ids":{"openalex":"https://openalex.org/W2340722762","doi":"https://doi.org/10.1145/2883817.2883821","mag":"2340722762"},"language":"en","primary_location":{"id":"doi:10.1145/2883817.2883821","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2883817.2883821","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2078.1/180245","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":true,"raw_author_name":"Beno\u00eet Legat","raw_affiliation_strings":["Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","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":["Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031935416","display_name":"Pablo A. Parrilo","orcid":"https://orcid.org/0000-0003-1132-8477"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pablo A. Parrilo","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029044993"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":2.9789,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91201027,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"51","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991999864578247,"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/T11236","display_name":"Control Systems and Identification","score":0.9988999962806702,"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/sequence","display_name":"Sequence (biology)","score":0.7363961935043335},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.7348347902297974},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5630044341087341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5453857183456421},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5143674612045288},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.511919379234314},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.509051501750946},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5043331384658813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43126699328422546},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42983344197273254},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4258992671966553},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4253012537956238},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4196809232234955},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35063740611076355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32642489671707153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16670891642570496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09565359354019165},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07011321187019348}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7363961935043335},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.7348347902297974},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5630044341087341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5453857183456421},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5143674612045288},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.511919379234314},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.509051501750946},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5043331384658813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43126699328422546},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42983344197273254},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4258992671966553},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4253012537956238},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4196809232234955},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35063740611076355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32642489671707153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16670891642570496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09565359354019165},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07011321187019348},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2883817.2883821","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2883817.2883821","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:180245","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/180245","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"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":"Proceeding HSCC '16 Proceedings of the 19th International Conference on Hybrid Systems : Computation and Control, p. 51-60","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:dial.uclouvain.be:boreal:180245","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/180245","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"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":"Proceeding HSCC '16 Proceedings of the 19th International Conference on Hybrid Systems : Computation and Control, p. 51-60","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1497233851","https://openalex.org/W1981518949","https://openalex.org/W1991656001","https://openalex.org/W1999406555","https://openalex.org/W2008442517","https://openalex.org/W2028932986","https://openalex.org/W2032326995","https://openalex.org/W2065795744","https://openalex.org/W2082419392","https://openalex.org/W2085893091","https://openalex.org/W2107700582","https://openalex.org/W2118863844","https://openalex.org/W2135388728","https://openalex.org/W2963722426","https://openalex.org/W3106333958","https://openalex.org/W4238257903","https://openalex.org/W6658317214"],"related_works":["https://openalex.org/W2963001570","https://openalex.org/W2962954592","https://openalex.org/W2274753335","https://openalex.org/W1602350308","https://openalex.org/W2318654273","https://openalex.org/W2369247774","https://openalex.org/W3148147474","https://openalex.org/W2107559391","https://openalex.org/W2278418704","https://openalex.org/W2350512268"],"abstract_inverted_index":{"The":[0],"joint":[1],"spectral":[2,84],"radius":[3,85],"(JSR)":[4],"of":[5,8,16,20,22,31,36,60,71],"a":[6,29,79],"set":[7],"matrices":[9,21,61],"characterizes":[10],"the":[11,23,34,46,69,74],"maximal":[12],"asymptotic":[13,65],"growth":[14,66],"rate":[15],"an":[17,57,63],"infinite":[18,58],"product":[19],"set.":[24],"This":[25],"quantity":[26],"appears":[27],"in":[28],"number":[30],"applications":[32],"including":[33],"stability":[35],"switched":[37],"and":[38,92],"hybrid":[39],"systems.":[40],"Many":[41],"algorithms":[42,77],"exist":[43],"for":[44],"estimating":[45],"JSR":[47],"but":[48],"not":[49],"much":[50],"is":[51],"known":[52,76],"about":[53],"how":[54],"to":[55],"generate":[56],"sequence":[59,81,95],"with":[62,82],"optimal":[64],"rate.":[67],"To":[68],"best":[70],"our":[72],"knowledge,":[73],"currently":[75],"select":[78],"small":[80],"large":[83],"using":[86],"brute":[87],"force":[88],"(or":[89],"branch-and-bound":[90],"variants)":[91],"repeats":[93],"this":[94],"infinitely.":[96]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}