{"id":"https://openalex.org/W2771971360","doi":"https://doi.org/10.1007/s11432-017-9297-1","title":"Almost sure stabilization of hybrid systems by feedback control based on discrete-time observations of mode and state","display_name":"Almost sure stabilization of hybrid systems by feedback control based on discrete-time observations of mode and state","publication_year":2018,"publication_date":"2018-06-13","ids":{"openalex":"https://openalex.org/W2771971360","doi":"https://doi.org/10.1007/s11432-017-9297-1","mag":"2771971360"},"language":"en","primary_location":{"id":"doi:10.1007/s11432-017-9297-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11432-017-9297-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11432-017-9297-1.pdf","source":{"id":"https://openalex.org/S4210218743","display_name":"Science China Information Sciences","issn_l":"1869-1919","issn":["1869-1919","1674-733X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science China Information Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11432-017-9297-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072486839","display_name":"Gongfei Song","orcid":"https://orcid.org/0000-0003-3371-0239"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gongfei Song","raw_affiliation_strings":["Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, School of Information and Control, Nanjing University of Information Science and Technology, Nanjing, 210044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, School of Information and Control, Nanjing University of Information Science and Technology, Nanjing, 210044, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068089141","display_name":"Zhenyu Lu","orcid":"https://orcid.org/0000-0002-5066-4716"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenyu Lu","raw_affiliation_strings":["School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074697668","display_name":"Bo\u2010Chao Zheng","orcid":"https://orcid.org/0000-0001-6142-6580"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo-Chao Zheng","raw_affiliation_strings":["Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, School of Information and Control, Nanjing University of Information Science and Technology, Nanjing, 210044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, School of Information and Control, Nanjing University of Information Science and Technology, Nanjing, 210044, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079550034","display_name":"Xuerong Mao","orcid":"https://orcid.org/0000-0002-6768-9864"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Xuerong Mao","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079550034"],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":2.4957,"has_fulltext":true,"cited_by_count":52,"citation_normalized_percentile":{"value":0.88843306,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"61","issue":"7","first_page":null,"last_page":null},"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":0.9990000128746033,"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":0.9990000128746033,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/brownian-motion","display_name":"Brownian motion","score":0.6236768364906311},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.555743932723999},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.49927544593811035},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4867077171802521},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.45832765102386475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44019782543182373},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43744564056396484},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4299173355102539},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.41139882802963257},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3704755902290344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3469143807888031},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2965444326400757},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2630618214607239},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2085602581501007},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11181649565696716},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09783685207366943},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08303946256637573}],"concepts":[{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6236768364906311},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.555743932723999},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.49927544593811035},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4867077171802521},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.45832765102386475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44019782543182373},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43744564056396484},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4299173355102539},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.41139882802963257},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3704755902290344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3469143807888031},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2965444326400757},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2630618214607239},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2085602581501007},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11181649565696716},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09783685207366943},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08303946256637573},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11432-017-9297-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11432-017-9297-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11432-017-9297-1.pdf","source":{"id":"https://openalex.org/S4210218743","display_name":"Science China Information Sciences","issn_l":"1869-1919","issn":["1869-1919","1674-733X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science China Information Sciences","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:62557","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/20026.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s11432-017-9297-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11432-017-9297-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11432-017-9297-1.pdf","source":{"id":"https://openalex.org/S4210218743","display_name":"Science China Information Sciences","issn_l":"1869-1919","issn":["1869-1919","1674-733X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science China Information Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2259389562","display_name":null,"funder_award_id":"EP/K503174/1","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"id":"https://openalex.org/G2362212513","display_name":null,"funder_award_id":"RF-2015-385","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"id":"https://openalex.org/G3855496045","display_name":null,"funder_award_id":"61403207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4259970044","display_name":null,"funder_award_id":"BK20131000","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5562716573","display_name":null,"funder_award_id":"BK20131000","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G6458080490","display_name":null,"funder_award_id":"61473334","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6884580806","display_name":null,"funder_award_id":"BK20150927","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G991418858","display_name":null,"funder_award_id":"61503190","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320310234","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69"},{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2771971360.pdf","grobid_xml":"https://content.openalex.org/works/W2771971360.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W48288425","https://openalex.org/W624803942","https://openalex.org/W1275718198","https://openalex.org/W1500921805","https://openalex.org/W1506085779","https://openalex.org/W1579485993","https://openalex.org/W1583915406","https://openalex.org/W1639879014","https://openalex.org/W1975083310","https://openalex.org/W1986684749","https://openalex.org/W1990784704","https://openalex.org/W2000522534","https://openalex.org/W2029946328","https://openalex.org/W2031995212","https://openalex.org/W2043079521","https://openalex.org/W2047188539","https://openalex.org/W2054284867","https://openalex.org/W2058231943","https://openalex.org/W2064645795","https://openalex.org/W2077791698","https://openalex.org/W2085096176","https://openalex.org/W2086923418","https://openalex.org/W2095230945","https://openalex.org/W2103262285","https://openalex.org/W2121732953","https://openalex.org/W2148472611","https://openalex.org/W2297494630","https://openalex.org/W2484199605","https://openalex.org/W2548712117","https://openalex.org/W2596330628","https://openalex.org/W2615708322","https://openalex.org/W2626418735","https://openalex.org/W2900812847","https://openalex.org/W2963354254","https://openalex.org/W4235816940","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W126238052","https://openalex.org/W1901944325","https://openalex.org/W2052299349","https://openalex.org/W4297728441","https://openalex.org/W2187824534","https://openalex.org/W6802963","https://openalex.org/W2148720069","https://openalex.org/W1782544383","https://openalex.org/W2794524342","https://openalex.org/W2071571540"],"abstract_inverted_index":{"Although":[0],"the":[1,27,40,44,84,89,137,159,205,215],"mean":[2],"square":[3],"stabilization":[4,31,47,162],"of":[5,15,48,140,163,214],"hybrid":[6,167,211],"systems":[7],"by":[8,22,64,184],"feedback":[9,69,188],"control":[10,70,189],"based":[11],"on":[12],"discretetime":[13],"observations":[14],"state":[16],"and":[17,130,259],"mode":[18],"has":[19,33,88],"been":[20],"studied":[21],"several":[23],"authors":[24],"since":[25],"2013,":[26],"corresponding":[28],"almost":[29,45,160],"sure":[30,46,161],"problem":[32],"received":[34],"little":[35],"attention.":[36],"Recently,":[37],"Mao":[38],"was":[39],"first":[41],"to":[42],"study":[43,158],"a":[49,65,124,150,164,210,255,265],"given":[50,165],"unstable":[51,166],"system":[52,87,168,208,213],"\u1e8b":[53,169],"(":[54,59,61,93,98,100,120,170,175,177,181,191,201,219,224,226,230,236,246,251,261],"t":[55,62,73,81,94,101,103,108,116,121,132,141,171,178,182,194,202,220,227,231,233,239,247,252,262],")":[56,82,95,122,172,203,221,253,263],"=":[57,96,173,222],"f":[58,97,174,223],"x":[60,92,99,106,176,192,218,225,237],"))":[63,183],"linear":[66],"discrete-time":[67,186],"stochastic":[68,187,212],"Ax":[71],"([":[72,107,193,238],"/":[74,109,133,142,195,240],"\u03c4":[75,77,110,112,127,134,143,196,198,241,243],"]":[76,111,135,197,242],")d":[78,113,199],"B":[79,114,119,200,245,250],"/(":[80,115],"(namely":[83],"stochastically":[85,206],"controlled":[86,207],"form":[90,216],"d":[91,217],"))d":[102,232,244],"+":[104,234],"A":[105],"),":[117,179,228,248],"where":[118,249],"is":[123,136,209,254,264],"scalar":[125],"Brownian,":[126],">":[128],"0,":[129],"[":[131],"integer":[138],"part":[139],".":[144],"In":[145],"this":[146],"paper,":[147],"we":[148,157],"consider":[149],"much":[151],"more":[152],"general":[153],"problem.":[154],"That":[155],"is,":[156],"r":[180,229,260],"nonlinear":[185],"u":[190,235],"(so":[204],"multi-dimensional":[256],"Brownian":[257],"motion":[258],"Markov":[266],"chain.":[267]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}