{"id":"https://openalex.org/W2165441245","doi":"https://doi.org/10.1109/tac.2010.2050160","title":"On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays","display_name":"On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays","publication_year":2010,"publication_date":"2010-05-26","ids":{"openalex":"https://openalex.org/W2165441245","doi":"https://doi.org/10.1109/tac.2010.2050160","mag":"2165441245"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2050160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2050160","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103192790","display_name":"Lirong Huang","orcid":"https://orcid.org/0000-0002-6441-3918"},"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":false,"raw_author_name":"L Huang","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"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":false,"raw_author_name":"X Mao","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":null,"apc_paid":null,"fwci":7.943,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.97201832,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"55","issue":"8","first_page":"1946","last_page":"1952"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9915000200271606,"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"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9894999861717224,"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/interval","display_name":"Interval (graph theory)","score":0.7019930481910706},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6878161430358887},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6256237030029297},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5986703634262085},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.5836158990859985},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5186604261398315},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.4883436858654022},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.47374022006988525},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.462516188621521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45657777786254883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43617287278175354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3694635033607483},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18909034132957458},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.14945822954177856},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0680185854434967}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7019930481910706},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6878161430358887},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6256237030029297},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5986703634262085},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.5836158990859985},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5186604261398315},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.4883436858654022},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.47374022006988525},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.462516188621521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45657777786254883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43617287278175354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3694635033607483},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18909034132957458},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.14945822954177856},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0680185854434967},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2010.2050160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2050160","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:strathprints.strath.ac.uk:29105","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/597802.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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1583915406","https://openalex.org/W1975181419","https://openalex.org/W1985848447","https://openalex.org/W2003043051","https://openalex.org/W2006145256","https://openalex.org/W2008755153","https://openalex.org/W2011961136","https://openalex.org/W2024851684","https://openalex.org/W2031288753","https://openalex.org/W2054284867","https://openalex.org/W2058231943","https://openalex.org/W2087290699","https://openalex.org/W2087392864","https://openalex.org/W2100211597","https://openalex.org/W2103262285","https://openalex.org/W2122125075","https://openalex.org/W2125968149","https://openalex.org/W2144737232","https://openalex.org/W2147275052","https://openalex.org/W2153392494","https://openalex.org/W2326010876","https://openalex.org/W2596330628","https://openalex.org/W4235816940"],"related_works":["https://openalex.org/W176066871","https://openalex.org/W2128702080","https://openalex.org/W4249175968","https://openalex.org/W4242346390","https://openalex.org/W1827781446","https://openalex.org/W2000218120","https://openalex.org/W2327260186","https://openalex.org/W4254534642","https://openalex.org/W2001550131","https://openalex.org/W2775547134"],"abstract_inverted_index":{"This":[0],"note":[1],"develops":[2],"a":[3],"criterion":[4],"for":[5],"almost":[6],"sure":[7],"stability":[8,57],"of":[9,30,37,49,59],"hybrid":[10],"stochastic":[11],"systems":[12],"with":[13],"mode-dependent":[14],"interval":[15],"time":[16,32],"delays,":[17],"which":[18],"improves":[19],"an":[20],"existing":[21],"result":[22,44],"by":[23],"exploiting":[24],"the":[25,28,31,35,38,47,56,68],"relation":[26],"between":[27],"bounds":[29],"delays":[33],"and":[34],"generator":[36],"continuous-time":[39],"Markov":[40],"chain.":[41],"The":[42],"improved":[43],"shows":[45],"that":[46],"presence":[48],"Markovian":[50],"switching":[51],"is":[52],"quite":[53],"involved":[54],"in":[55],"analysis":[58],"delay":[60],"systems.":[61],"Numerical":[62],"examples":[63],"are":[64],"given":[65],"to":[66],"verify":[67],"effectiveness.":[69]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
