{"id":"https://openalex.org/W2608500491","doi":null,"title":"A Bound on the Continuity of Solutions and Converse Lyapunov Functions","display_name":"A Bound on the Continuity of Solutions and Converse Lyapunov Functions","publication_year":2009,"publication_date":"2009-12-18","ids":{"openalex":"https://openalex.org/W2608500491","mag":"2608500491"},"language":"en","primary_location":{"id":"mag:2608500491","doi":null,"is_oa":false,"landing_page_url":"https://asu.pure.elsevier.com/en/publications/a-bound-on-the-continuity-of-solutions-and-converse-lyapunov-func","pdf_url":null,"source":{"id":"https://openalex.org/S4306418043","display_name":"Conference on Decision and Control","issn_l":"0743-1546","issn":["0743-1546"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Conference on Decision and Control","raw_type":null},"volume":null,"type":"conference-paper","indexed_in":[],"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/A5077552862","display_name":"Matthew M. Peet","orcid":"https://orcid.org/0000-0001-9360-6738","observed_orcids":["https://orcid.org/0000-0001-9360-6738"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Matthew M. Peet","raw_affiliation_strings":["Engineering of Matter, Transport and Energy, School for (SEMTE)"],"raw_orcid":"https://orcid.org/0000-0001-9360-6738","affiliations":[{"raw_affiliation_string":"Engineering of Matter, Transport and Energy, School for (SEMTE)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5077552862"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5576,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68076832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.5303000211715698,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.5303000211715698,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.2542000114917755,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.06599999964237213,"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/continuity-of-solutions","display_name":"continuity of solutions","score":0.7429999709129333},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"stability analysis","score":0.41200000047683716},{"id":"https://openalex.org/keywords/nonlinear-systems","display_name":"nonlinear systems","score":0.4350000023841858},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.6579999923706055},{"id":"https://openalex.org/keywords/boundedness-of-solutions","display_name":"boundedness of solutions","score":0.3799999952316284}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.8760150671005249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5360233187675476},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5028566718101501},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5007789134979248},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.44174331426620483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43321722745895386},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.4235958755016327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41266492009162903},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4024040400981903},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3686269521713257},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3466797471046448},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14487570524215698},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0947832465171814},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09128803014755249},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08456498384475708},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06000372767448425},{"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/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2608500491","doi":null,"is_oa":false,"landing_page_url":"https://asu.pure.elsevier.com/en/publications/a-bound-on-the-continuity-of-solutions-and-converse-lyapunov-func","pdf_url":null,"source":{"id":"https://openalex.org/S4306418043","display_name":"Conference on Decision and Control","issn_l":"0743-1546","issn":["0743-1546"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Conference on Decision and Control","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2070714351","https://openalex.org/W4233580221","https://openalex.org/W2317068403","https://openalex.org/W60172513","https://openalex.org/W2175425121","https://openalex.org/W1787749442","https://openalex.org/W2074693200","https://openalex.org/W207327768","https://openalex.org/W1599248552","https://openalex.org/W2131864767"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2017-05-05T00:00:00"}