{"id":"https://openalex.org/W4407949777","doi":"https://doi.org/10.1109/cdc56724.2024.10885929","title":"Using Symbolic Dynamics to Compare Path-Complete Lyapunov Functions","display_name":"Using Symbolic Dynamics to Compare Path-Complete Lyapunov Functions","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407949777","doi":"https://doi.org/10.1109/cdc56724.2024.10885929"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10885929","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10885929","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2078.1/299669","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027042034","display_name":"Somya Singh","orcid":"https://orcid.org/0000-0003-3183-5767"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Somya Singh","raw_affiliation_strings":["ICTEAM UCLouvain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTEAM UCLouvain","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056625594","display_name":"Rapha\u00ebl M. Jungers","orcid":"https://orcid.org/0000-0002-7789-0940"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rapha\u00ebl M. Jungers","raw_affiliation_strings":["ICTEAM UCLouvain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTEAM UCLouvain","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5598","last_page":"5603"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9485999941825867,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9485999941825867,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/symbolic-dynamics","display_name":"Symbolic dynamics","score":0.6610084176063538},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6366373300552368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5605580806732178},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.49002039432525635},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4851001501083374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3559100031852722},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3353397846221924},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12307330965995789},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07414090633392334},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06411755084991455},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05886310338973999}],"concepts":[{"id":"https://openalex.org/C16101541","wikidata":"https://www.wikidata.org/wiki/Q1350838","display_name":"Symbolic dynamics","level":2,"score":0.6610084176063538},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6366373300552368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5605580806732178},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.49002039432525635},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4851001501083374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3559100031852722},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3353397846221924},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12307330965995789},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07414090633392334},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06411755084991455},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05886310338973999},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc56724.2024.10885929","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10885929","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:299669","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/299669","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"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":"I E E E Conference on Decision and Control. Proceedings, , p. 5598-5603 (2024)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dial.uclouvain.be:boreal:299669","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/299669","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"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":"I E E E Conference on Decision and Control. Proceedings, , p. 5598-5603 (2024)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1587663028","https://openalex.org/W2018851888","https://openalex.org/W2028637098","https://openalex.org/W2032326995","https://openalex.org/W2085893091","https://openalex.org/W2118741873","https://openalex.org/W2121672983","https://openalex.org/W2128484696","https://openalex.org/W2165744313","https://openalex.org/W2536620281","https://openalex.org/W2937722039","https://openalex.org/W3158923205","https://openalex.org/W3199166028","https://openalex.org/W4206252072","https://openalex.org/W4206388587","https://openalex.org/W4375852299","https://openalex.org/W4402996765"],"related_works":["https://openalex.org/W2321763972","https://openalex.org/W2129267360","https://openalex.org/W1662495243","https://openalex.org/W3095441041","https://openalex.org/W2019480871","https://openalex.org/W420322449","https://openalex.org/W2154431421","https://openalex.org/W4233641791","https://openalex.org/W3098073919","https://openalex.org/W1985720644"],"abstract_inverted_index":{"In":[0],"this":[1,80],"paper,":[2],"we":[3,33,82],"study":[4,136],"discrete-time":[5],"linear":[6],"switched":[7,28],"systems":[8],"by":[9,117],"leveraging":[10],"tools":[11],"from":[12],"symbolic":[13],"dynamics":[14],"and":[15,44],"language":[16],"theory.":[17],"More":[18],"specifically,":[19],"viewing":[20],"path-complete":[21],"Lyapunov":[22],"functions":[23],"(PCLF)":[24],"associated":[25],"with":[26,66],"the":[27,35,60,77,84,103,110,118,135,141],"system":[29],"as":[30,107],"finite":[31],"automata,":[32],"investigate":[34],"coverings":[36],"of":[37,59,86,93,109,113,137],"bi-infinite":[38,114],"words":[39,115],"generated":[40,116],"via":[41,53,140],"a":[42,46,72,91,96,130],"PCLF":[43,97],"develop":[45],"framework":[47],"for":[48],"comparing":[49],"two":[50,125],"different":[51],"PCLFs":[52,62],"these":[54],"coverings.":[55,126],"However,":[56],"in":[57,95],"most":[58],"cases":[61],"are":[63],"not":[64],"comparable":[65],"regards":[67],"to":[68,71,101,120,133],"one":[69],"corresponding":[70],"better":[73],"stability":[74],"criterion":[75],"than":[76],"other.":[78],"For":[79],"purpose,":[81],"utilize":[83],"notion":[85],"support":[87,138],"sets,":[88],"which":[89],"is":[90,99],"subset":[92],"paths":[94],"that":[98,108],"sufficient":[100],"obtain":[102,121],"same":[104],"performance":[105],"index":[106],"entire":[111],"set":[112],"PCLF,":[119],"partial":[122],"relations":[123],"between":[124],"We":[127],"also":[128],"illustrate":[129],"numerical":[131],"example":[132],"justify":[134],"sets":[139],"covering":[142],"framework.":[143]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
