{"id":"https://openalex.org/W2168865282","doi":"https://doi.org/10.1109/cdc.2000.912811","title":"Deadlock-free piecewise-linear controlled hybrid automata","display_name":"Deadlock-free piecewise-linear controlled hybrid automata","publication_year":2002,"publication_date":"2002-11-11","ids":{"openalex":"https://openalex.org/W2168865282","doi":"https://doi.org/10.1109/cdc.2000.912811","mag":"2168865282"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2000.912811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2000.912811","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5022295836","display_name":"Michael Lemmon","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.D. Lemmon","raw_affiliation_strings":["Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022295836"],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27468368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"478","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980999827384949,"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/T11567","display_name":"semigroups and automata theory","score":0.9896000027656555,"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/hybrid-automaton","display_name":"Hybrid automaton","score":0.8325511813163757},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6798272728919983},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6151569485664368},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5504681468009949},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.5474893450737},{"id":"https://openalex.org/keywords/timed-automaton","display_name":"Timed automaton","score":0.5254958271980286},{"id":"https://openalex.org/keywords/continuous-automaton","display_name":"Continuous automaton","score":0.5153724551200867},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4807726740837097},{"id":"https://openalex.org/keywords/deadlock","display_name":"Deadlock","score":0.4687599837779999},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45721057057380676},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.45326492190361023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4485052824020386},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.44574204087257385},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.32638758420944214},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3065599203109741},{"id":"https://openalex.org/keywords/mobile-automaton","display_name":"Mobile automaton","score":0.289935827255249},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2309790849685669},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1224554181098938},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.06406828761100769}],"concepts":[{"id":"https://openalex.org/C2776028153","wikidata":"https://www.wikidata.org/wiki/Q5953179","display_name":"Hybrid automaton","level":3,"score":0.8325511813163757},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6798272728919983},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6151569485664368},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5504681468009949},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.5474893450737},{"id":"https://openalex.org/C30788636","wikidata":"https://www.wikidata.org/wiki/Q7805517","display_name":"Timed automaton","level":3,"score":0.5254958271980286},{"id":"https://openalex.org/C21720249","wikidata":"https://www.wikidata.org/wiki/Q5165460","display_name":"Continuous automaton","level":5,"score":0.5153724551200867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4807726740837097},{"id":"https://openalex.org/C159023740","wikidata":"https://www.wikidata.org/wiki/Q623276","display_name":"Deadlock","level":2,"score":0.4687599837779999},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45721057057380676},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.45326492190361023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4485052824020386},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.44574204087257385},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.32638758420944214},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3065599203109741},{"id":"https://openalex.org/C50348692","wikidata":"https://www.wikidata.org/wiki/Q6887056","display_name":"Mobile automaton","level":4,"score":0.289935827255249},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2309790849685669},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1224554181098938},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.06406828761100769},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2000.912811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2000.912811","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W197104890","https://openalex.org/W258481170","https://openalex.org/W1534714322","https://openalex.org/W1995691455","https://openalex.org/W2004463571","https://openalex.org/W2128495441","https://openalex.org/W2152665017","https://openalex.org/W2163590987","https://openalex.org/W2613784664"],"related_works":["https://openalex.org/W2155870982","https://openalex.org/W2120347230","https://openalex.org/W2109003011","https://openalex.org/W1533908838","https://openalex.org/W1645283535","https://openalex.org/W2145225595","https://openalex.org/W2127219675","https://openalex.org/W4231063068","https://openalex.org/W2141548906","https://openalex.org/W1595215337"],"abstract_inverted_index":{"A":[0],"controlled":[1,29],"hybrid":[2,6,30],"automaton":[3,7],"is":[4],"a":[5],"whose":[8],"continuous-state":[9],"trajectories":[10],"satisfy":[11],"inhomogeneous":[12],"differential":[13],"equations.":[14],"This":[15],"paper":[16],"presents":[17],"sufficient":[18],"conditions":[19],"for":[20],"the":[21],"existence":[22],"of":[23,27],"periodic":[24],"global":[25],"solutions":[26],"piecewise-linear":[28],"automata.":[31]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}