{"id":"https://openalex.org/W2116351675","doi":"https://doi.org/10.1109/tcsi.2008.2001825","title":"Stability of Hybrid Stochastic Retarded Systems","display_name":"Stability of Hybrid Stochastic Retarded Systems","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2116351675","doi":"https://doi.org/10.1109/tcsi.2008.2001825","mag":"2116351675"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2008.2001825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2008.2001825","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://strathprints.strath.ac.uk/14045/6/strathprints014045.pdf","any_repository_has_fulltext":true},"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":"Lirong Huang","raw_affiliation_strings":["Department of Statistics and Modeling Science, University of Strathclyde, Glasgow, UK","Dept. of Stat. & Modeling Sci., Univ. of Strathclyde, Glasgow"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Modeling Science, University of Strathclyde, Glasgow, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"Dept. of Stat. & Modeling Sci., Univ. of Strathclyde, Glasgow","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","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":"Xuerong Mao","raw_affiliation_strings":["Department of Statistics and Modeling Science, University of Strathclyde, Glasgow, UK","Dept. of Stat. & Modeling Sci., Univ. of Strathclyde, Glasgow"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Modeling Science, University of Strathclyde, Glasgow, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"Dept. of Stat. & Modeling Sci., Univ. of Strathclyde, Glasgow","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063134490","display_name":"Feiqi Deng","orcid":"https://orcid.org/0000-0002-0257-5647"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiqi Deng","raw_affiliation_strings":["College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","[Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"[Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China]","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7692,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.9366019,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"55","issue":"11","first_page":"3413","last_page":"3420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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/T10046","display_name":"Stability and Control of Uncertain 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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9959999918937683,"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/exponential-stability","display_name":"Exponential stability","score":0.7811855673789978},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.6435683965682983},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6268277764320374},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5632315874099731},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5567493438720703},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.50111985206604},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4983818531036377},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4846061170101166},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4508884847164154},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.4506710171699524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26051896810531616},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07021990418434143},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06591814756393433},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06427142024040222}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7811855673789978},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.6435683965682983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6268277764320374},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5632315874099731},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5567493438720703},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.50111985206604},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4983818531036377},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4846061170101166},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4508884847164154},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4506710171699524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26051896810531616},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07021990418434143},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06591814756393433},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06427142024040222},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2008.2001825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2008.2001825","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:14045","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/597802.html>","pdf_url":"https://strathprints.strath.ac.uk/14045/6/strathprints014045.pdf","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":"pmh:oai:strathprints.strath.ac.uk:14045","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/597802.html>","pdf_url":"https://strathprints.strath.ac.uk/14045/6/strathprints014045.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2116351675.pdf","grobid_xml":"https://content.openalex.org/works/W2116351675.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1494628843","https://openalex.org/W1583915406","https://openalex.org/W1974356308","https://openalex.org/W2004206835","https://openalex.org/W2031288753","https://openalex.org/W2047017331","https://openalex.org/W2056714133","https://openalex.org/W2056790056","https://openalex.org/W2071659190","https://openalex.org/W2079871064","https://openalex.org/W2105979036","https://openalex.org/W2116300596","https://openalex.org/W2122125075","https://openalex.org/W2132934951","https://openalex.org/W2144737232","https://openalex.org/W2156655577","https://openalex.org/W2182720861","https://openalex.org/W2467963231","https://openalex.org/W2478277075","https://openalex.org/W6685993438"],"related_works":["https://openalex.org/W4206372898","https://openalex.org/W1995764354","https://openalex.org/W1992658465","https://openalex.org/W2009544322","https://openalex.org/W1976400546","https://openalex.org/W2965717425","https://openalex.org/W2112401754","https://openalex.org/W3134538922","https://openalex.org/W2039836061","https://openalex.org/W2128093298"],"abstract_inverted_index":{"In":[0],"the":[1,28,35,59,98],"past":[2],"few":[3],"years,":[4],"hybrid":[5,19,53,83],"stochastic":[6,12,20,42,54,84],"retarded":[7,13,85],"systems":[8,14,93],"(also":[9],"known":[10],"as":[11],"with":[15,46],"Markovian":[16,47],"switching),":[17],"including":[18,94],"delay":[21,55],"systems,":[22],"have":[23],"been":[24,67],"intensively":[25],"studied.":[26],"Among":[27],"key":[29],"results,":[30],"Mao":[31],"et":[32],"al.":[33],"proposed":[34,88],"Razumikhin-type":[36,74],"theorem":[37],"on":[38,76],"exponential":[39],"stability":[40,64,81],"of":[41,61,82],"functional":[43],"differential":[44],"equations":[45],"switching":[48],"and":[49],"its":[50],"application":[51],"to":[52,72,91],"interval":[56],"systems.":[57,86],"However,":[58],"importance":[60],"general":[62,77],"asymptotic":[63,80],"has":[65],"not":[66],"considered.":[68],"This":[69],"paper":[70],"is":[71],"study":[73],"theorems":[75,89],"p-th":[78],"moment":[79],"The":[87],"apply":[90],"complex":[92],"some":[95],"cases":[96],"when":[97],"existing":[99],"results":[100],"cannot":[101],"be":[102],"used.":[103]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}