{"id":"https://openalex.org/W2003504842","doi":"https://doi.org/10.1109/tac.2013.2292455","title":"Input-Output-to-State Stability Tools for Hybrid Systems and Their Interconnections","display_name":"Input-Output-to-State Stability Tools for Hybrid Systems and Their Interconnections","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2003504842","doi":"https://doi.org/10.1109/tac.2013.2292455","mag":"2003504842"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2292455","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2292455","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt58j797z0/qt58j797z0.pdf?t=pvgnwq","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028224738","display_name":"Ricardo G. Sanfelice","orcid":"https://orcid.org/0000-0002-6671-5362"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ricardo G. Sanfelice","raw_affiliation_strings":["Department of Aerospace and Mechanical Engineering, University of Arizona, AZ","Department of Aerospace and Mechanical Engineering University of Arizona"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace and Mechanical Engineering, University of Arizona, AZ","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Department of Aerospace and Mechanical Engineering University of Arizona","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028224738"],"corresponding_institution_ids":["https://openalex.org/I138006243"],"apc_list":null,"apc_paid":null,"fwci":8.0594,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.97403351,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"5","first_page":"1360","last_page":"1366"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9975000023841858,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958000183105469,"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/hybrid-system","display_name":"Hybrid system","score":0.720437228679657},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7071791887283325},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6576958298683167},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6562644243240356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6098307371139526},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.4760206341743469},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4681207239627838},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.4612947702407837},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4246929883956909},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4202623963356018},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41189542412757874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27944353222846985},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13420012593269348},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11119592189788818},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09366098046302795}],"concepts":[{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.720437228679657},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7071791887283325},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6576958298683167},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6562644243240356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6098307371139526},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.4760206341743469},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4681207239627838},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.4612947702407837},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4246929883956909},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4202623963356018},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41189542412757874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27944353222846985},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13420012593269348},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11119592189788818},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09366098046302795},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2013.2292455","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2292455","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt58j797z0","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/58j797z0","pdf_url":"https://escholarship.org/content/qt58j797z0/qt58j797z0.pdf?t=pvgnwq","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, vol 59, iss 5","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt58j797z0","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/58j797z0","pdf_url":"https://escholarship.org/content/qt58j797z0/qt58j797z0.pdf?t=pvgnwq","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, vol 59, iss 5","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6717628653","display_name":null,"funder_award_id":"ECS-1150306","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8611060190","display_name":null,"funder_award_id":"FA9550-12-1-0366","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2003504842.pdf","grobid_xml":"https://content.openalex.org/works/W2003504842.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1989230227","https://openalex.org/W1990502710","https://openalex.org/W1995007445","https://openalex.org/W2008151824","https://openalex.org/W2011428018","https://openalex.org/W2035506160","https://openalex.org/W2036826525","https://openalex.org/W2038137192","https://openalex.org/W2041709570","https://openalex.org/W2044238125","https://openalex.org/W2046596911","https://openalex.org/W2058765561","https://openalex.org/W2059797052","https://openalex.org/W2071095278","https://openalex.org/W2071367014","https://openalex.org/W2074857762","https://openalex.org/W2091869118","https://openalex.org/W2095406035","https://openalex.org/W2098989671","https://openalex.org/W2099308299","https://openalex.org/W2125809984","https://openalex.org/W2126726109","https://openalex.org/W2130701031","https://openalex.org/W2134078068","https://openalex.org/W2151136609","https://openalex.org/W2157564130","https://openalex.org/W2159479095","https://openalex.org/W2163313703","https://openalex.org/W6661433894"],"related_works":["https://openalex.org/W2164703465","https://openalex.org/W2364993643","https://openalex.org/W2058659136","https://openalex.org/W2153570818","https://openalex.org/W4206372898","https://openalex.org/W3030114094","https://openalex.org/W2212611755","https://openalex.org/W2378841998","https://openalex.org/W2569730335","https://openalex.org/W2884265924"],"abstract_inverted_index":{"We":[0],"present":[1],"results":[2,110],"for":[3,68,82,85,106],"the":[4,39,47,51,58,101,114,118,143],"analysis":[5],"of":[6,9,13,37,41,50,73,103,117,124,132],"input/output":[7],"properties":[8],"a":[10,18,21,24,27,63,133],"general":[11],"class":[12,36],"hybrid":[14,64,107,125],"systems":[15],"given":[16],"by":[17],"flow":[19,22],"set,":[20,26],"map,":[23,29],"jump":[25,28],"and":[30,60,87,96],"an":[31],"output":[32],"map.":[33],"For":[34],"this":[35,69],"systems,":[38],"notion":[40,70],"input-output-to-state":[42,83],"stability":[43,84],"is":[44,138],"introduced":[45],"in":[46,71,113,130],"first":[48],"part":[49,116],"technical":[52,119],"note.":[53],"Under":[54],"mild":[55],"assumptions":[56],"on":[57],"functions":[59,75,81],"sets":[61],"defining":[62],"system,":[65],"sufficient":[66,94],"conditions":[67,95],"terms":[72,131],"Lyapunov":[74,80],"are":[76,91,98,111],"derived.":[77],"Equivalences":[78],"between":[79],"asymptotic":[86],"exponential":[88],"decay":[89],"rates":[90],"established.":[92],"The":[93],"equivalences":[97],"linked":[99],"to":[100,121],"existence":[102],"norm":[104],"observers":[105],"systems.":[108,126],"These":[109],"used":[112],"second":[115],"note":[120],"study":[122],"interconnections":[123],"An":[127],"interconnection":[128],"result":[129],"Lyapunov-based":[134],"small":[135],"gain":[136],"theorem":[137],"also":[139],"presented.":[140],"Examples":[141],"illustrate":[142],"results.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
