{"id":"https://openalex.org/W2288571052","doi":"https://doi.org/10.1080/23307706.2016.1143787","title":"Recent results on stochastic hybrid dynamical systems","display_name":"Recent results on stochastic hybrid dynamical systems","publication_year":2016,"publication_date":"2016-01-02","ids":{"openalex":"https://openalex.org/W2288571052","doi":"https://doi.org/10.1080/23307706.2016.1143787","mag":"2288571052"},"language":"en","primary_location":{"id":"doi:10.1080/23307706.2016.1143787","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2016.1143787","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","raw_type":"journal-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/A5058325023","display_name":"Mohamad S. Alwan","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohamad S. Alwan","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030849815","display_name":"Xinzhi Liu","orcid":"https://orcid.org/0000-0003-3572-2807"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Xinzhi Liu","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030849815"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":2.4103,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.88977556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"3","issue":"1","first_page":"68","last_page":"103"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9987000226974487,"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/T12158","display_name":"Guidance and Control Systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.7078348398208618},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.605546236038208},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5923126935958862},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.585159957408905},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5582759380340576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5489009022712708},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.43287304043769836},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4120830297470093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3382536768913269},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2570400834083557},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10826912522315979},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10581058263778687},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09574717283248901},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.05769842863082886}],"concepts":[{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.7078348398208618},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.605546236038208},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5923126935958862},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.585159957408905},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5582759380340576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5489009022712708},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.43287304043769836},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4120830297470093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3382536768913269},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2570400834083557},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10826912522315979},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10581058263778687},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09574717283248901},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.05769842863082886},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":1,"locations":[{"id":"doi:10.1080/23307706.2016.1143787","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2016.1143787","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W126744489","https://openalex.org/W197104890","https://openalex.org/W580296679","https://openalex.org/W629493226","https://openalex.org/W1481510477","https://openalex.org/W1487094975","https://openalex.org/W1522448884","https://openalex.org/W1552094772","https://openalex.org/W1562188241","https://openalex.org/W1856979206","https://openalex.org/W1900371862","https://openalex.org/W1963668342","https://openalex.org/W1971668866","https://openalex.org/W1977015640","https://openalex.org/W1978241724","https://openalex.org/W1978271437","https://openalex.org/W1978606301","https://openalex.org/W1995063858","https://openalex.org/W2000653877","https://openalex.org/W2004112837","https://openalex.org/W2050240106","https://openalex.org/W2061505796","https://openalex.org/W2064427240","https://openalex.org/W2068372763","https://openalex.org/W2082982901","https://openalex.org/W2085603700","https://openalex.org/W2086038404","https://openalex.org/W2098898086","https://openalex.org/W2101437469","https://openalex.org/W2104958104","https://openalex.org/W2108237505","https://openalex.org/W2130792118","https://openalex.org/W2134078068","https://openalex.org/W2138471159","https://openalex.org/W2138582222","https://openalex.org/W2145511008","https://openalex.org/W2152185829","https://openalex.org/W2165626406","https://openalex.org/W2168456661","https://openalex.org/W2170779898","https://openalex.org/W2207254632","https://openalex.org/W2339555910","https://openalex.org/W2473526392","https://openalex.org/W2499792849","https://openalex.org/W2524389969","https://openalex.org/W2900812847","https://openalex.org/W4205625588","https://openalex.org/W4247437618","https://openalex.org/W4249558666","https://openalex.org/W4285719527","https://openalex.org/W4299812482"],"related_works":["https://openalex.org/W1968813561","https://openalex.org/W1201114281","https://openalex.org/W2154236742","https://openalex.org/W2104769107","https://openalex.org/W2054171707","https://openalex.org/W2561514193","https://openalex.org/W1716629940","https://openalex.org/W4240278998","https://openalex.org/W2726491672","https://openalex.org/W2161468807"],"abstract_inverted_index":{"This":[0],"paper":[1,47],"addresses":[2],"stochastic":[3],"hybrid":[4,37],"systems,":[5],"particularly":[6],"switched":[7],"and":[8,17,23,33,38,66],"impulsive":[9],"systems.":[10],"The":[11,27,43],"systems":[12,32,40],"under":[13],"consideration":[14],"are":[15,41,83,106],"linear":[16],"non-linear":[18],"continuous":[19],"with/without":[20,24],"time":[21,96],"delay,":[22],"external":[25],"force.":[26],"importance":[28],"of":[29,45,55,91],"using":[30,87],"such":[31,60],"the":[34,56,71,88,111],"discrepancies":[35],"between":[36],"non-hybrid":[39],"presented.":[42],"objective":[44],"this":[46,115],"is":[48,98],"to":[49,108],"survey":[50],"recent":[51],"developments":[52],"on":[53],"some":[54],"important":[57],"qualitative":[58],"properties":[59,82],"as":[61],"stability,":[62],"stabilisation,":[63],"input-to-state":[64],"stability":[65],"state":[67],"estimation":[68],"along":[69],"with":[70,104],"challenges":[72],"that":[73],"might":[74],"arise":[75],"when":[76],"taking":[77],"hybridness":[78],"into":[79,100],"account.":[80,101],"These":[81],"mainly":[84],"developed":[85],"by":[86],"direct":[89],"method":[90],"Lyapunov":[92],"or":[93],"Lyapunov\u2013Razumikhin":[94],"if":[95],"delay":[97],"taken":[99],"Several":[102],"examples":[103],"simulations":[105],"presented":[107],"further":[109],"clarify":[110],"results":[112],"introduced":[113],"in":[114],"paper.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}