{"id":"https://openalex.org/W2159037864","doi":"https://doi.org/10.1109/cdc.2010.5717270","title":"Abstraction of continuous dynamical systems utilizing Lyapunov functions","display_name":"Abstraction of continuous dynamical systems utilizing Lyapunov functions","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2159037864","doi":"https://doi.org/10.1109/cdc.2010.5717270","mag":"2159037864"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088328087","display_name":"Christoffer Sloth","orcid":"https://orcid.org/0000-0002-3309-6278"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Christoffer Sloth","raw_affiliation_strings":["Department of Computer Science, University of Aalborg, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Aalborg, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021433621","display_name":"Rafael Wisniewski","orcid":null},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Rafael Wisniewski","raw_affiliation_strings":["Section of Automation & Control, University of Aalborg, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Section of Automation & Control, University of Aalborg, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088328087"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":null,"apc_paid":null,"fwci":2.7331,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90509627,"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":"3760","last_page":"3765"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T11125","display_name":"Petri Nets in System Modeling","score":0.9914000034332275,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9739000201225281,"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/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.7341554164886475},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6448075771331787},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6124330163002014},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.593174159526825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.555741548538208},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5351795554161072},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.5317749977111816},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4879266917705536},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4609762728214264},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.43022847175598145},{"id":"https://openalex.org/keywords/timed-automaton","display_name":"Timed automaton","score":0.412917822599411},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40615493059158325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3065122365951538}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7341554164886475},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6448075771331787},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6124330163002014},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.593174159526825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.555741548538208},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5351795554161072},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.5317749977111816},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4879266917705536},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4609762728214264},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.43022847175598145},{"id":"https://openalex.org/C30788636","wikidata":"https://www.wikidata.org/wiki/Q7805517","display_name":"Timed automaton","level":3,"score":0.412917822599411},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40615493059158325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3065122365951538},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"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/cdc.2010.5717270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/98b0f7da-a5ef-41d9-be6a-00157a7d867d","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/98b0f7da-a5ef-41d9-be6a-00157a7d867d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sloth , C &amp; Wisniewski , R 2010 , ' Abstraction of Continuous Dynamical Systems Utilizing Lyapunov Functions ' , I E E E Conference on Decision and Control. Proceedings , pp. 3760-3765 . https://doi.org/10.1109/CDC.2010.5717270","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1530240157","https://openalex.org/W1557324374","https://openalex.org/W1568502976","https://openalex.org/W1597517060","https://openalex.org/W1889612581","https://openalex.org/W1960239420","https://openalex.org/W1987677181","https://openalex.org/W2041103407","https://openalex.org/W2060369194","https://openalex.org/W2094017389","https://openalex.org/W2101508170","https://openalex.org/W2110910849","https://openalex.org/W2127520982","https://openalex.org/W2597083622","https://openalex.org/W4212819559","https://openalex.org/W4297571482","https://openalex.org/W6633346467","https://openalex.org/W6635609340","https://openalex.org/W6639348181","https://openalex.org/W6640912469"],"related_works":["https://openalex.org/W1750171350","https://openalex.org/W2095644384","https://openalex.org/W1903000972","https://openalex.org/W1571606103","https://openalex.org/W2569130014","https://openalex.org/W2149582339","https://openalex.org/W2900094146","https://openalex.org/W1597414920","https://openalex.org/W1928422391","https://openalex.org/W2148140319"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,22,37,44,49,67],"development":[4],"of":[5,25,36,43,73,84],"a":[6],"method":[7,17],"for":[8,52,87,95],"abstracting":[9],"continuous":[10],"dynamical":[11,26,45],"systems":[12,27,89,97],"by":[13],"timed":[14,38],"automata.":[15,39],"The":[16,82],"is":[18,63],"based":[19,47],"on":[20,48],"partitioning":[21],"state":[23,68],"space":[24,69],"with":[28],"invariant":[29,80],"sets,":[30],"which":[31],"form":[32],"cells":[33],"representing":[34],"locations":[35],"To":[40],"enable":[41],"verification":[42],"system":[46],"abstraction,":[50],"conditions":[51],"obtaining":[53],"sound,":[54],"complete,":[55],"and":[56,90,92],"refinable":[57,93],"abstractions":[58,86,94],"are":[59,78,98],"set":[60],"up.":[61],"It":[62],"proposed":[64],"to":[65],"partition":[66],"utilizing":[70],"sub-level":[71],"sets":[72],"Lyapunov":[74],"functions,":[75],"since":[76],"they":[77],"positive":[79],"sets.":[81],"existence":[83],"sound":[85],"Morse-Smale":[88],"complete":[91],"linear":[96],"shown.":[99]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
