{"id":"https://openalex.org/W2158546495","doi":"https://doi.org/10.1109/tcst.2010.2050320","title":"$L_{2}$-Gain of Systems With Input Delays and Controller Temporary Failure: Zero-Order Hold Model","display_name":"$L_{2}$-Gain of Systems With Input Delays and Controller Temporary Failure: Zero-Order Hold Model","publication_year":2010,"publication_date":"2010-06-18","ids":{"openalex":"https://openalex.org/W2158546495","doi":"https://doi.org/10.1109/tcst.2010.2050320","mag":"2158546495"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2010.2050320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2010.2050320","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","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/A5008939878","display_name":"Xi\u2010Ming Sun","orcid":"https://orcid.org/0000-0002-1883-3495"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi-Ming Sun","raw_affiliation_strings":["Research Center of Information and Control, Dalian University of Technology, Dalian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center of Information and Control, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100320478","display_name":"Shuai Liu","orcid":"https://orcid.org/0000-0002-0699-2296"},"institutions":[{"id":"https://openalex.org/I128993996","display_name":"University of South Wales","ror":"https://ror.org/02mzn7s88","country_code":"GB","type":"education","lineage":["https://openalex.org/I128993996"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Guo-Ping Liu","raw_affiliation_strings":["CTGT Center, Harbin Institute of Technology, Harbin, China","Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CTGT Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK","institution_ids":["https://openalex.org/I128993996"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059229969","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0001-9596-2752"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["Research Center of Information and Control, Dalian University of Technology, Dalian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center of Information and Control, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076165235","display_name":"D. Rees","orcid":"https://orcid.org/0000-0002-8007-6739"},"institutions":[{"id":"https://openalex.org/I128993996","display_name":"University of South Wales","ror":"https://ror.org/02mzn7s88","country_code":"GB","type":"education","lineage":["https://openalex.org/I128993996"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David Rees","raw_affiliation_strings":["Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK","institution_ids":["https://openalex.org/I128993996"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.1092,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.97977515,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"19","issue":"3","first_page":"699","last_page":"706"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9887999892234802,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/controller","display_name":"Controller (irrigation)","score":0.6989980340003967},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6642032861709595},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5628629922866821},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5325965285301208},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49703314900398254},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.482684850692749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44628944993019104},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43088504672050476},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4264169931411743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3976183533668518},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26010894775390625},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12883320450782776},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11522510647773743},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09827545285224915},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08816704154014587}],"concepts":[{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6989980340003967},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6642032861709595},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5628629922866821},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5325965285301208},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49703314900398254},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.482684850692749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44628944993019104},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43088504672050476},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4264169931411743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3976183533668518},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26010894775390625},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12883320450782776},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11522510647773743},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09827545285224915},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08816704154014587},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcst.2010.2050320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2010.2050320","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","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":31,"referenced_works":["https://openalex.org/W1578437135","https://openalex.org/W1610230199","https://openalex.org/W1900371862","https://openalex.org/W1969944741","https://openalex.org/W1979579860","https://openalex.org/W1981673401","https://openalex.org/W1982218468","https://openalex.org/W1984565442","https://openalex.org/W1988098342","https://openalex.org/W1999547897","https://openalex.org/W2002116864","https://openalex.org/W2003482013","https://openalex.org/W2004829965","https://openalex.org/W2005661856","https://openalex.org/W2022631451","https://openalex.org/W2053599456","https://openalex.org/W2060645646","https://openalex.org/W2084184206","https://openalex.org/W2132857017","https://openalex.org/W2141988050","https://openalex.org/W2144801427","https://openalex.org/W2148995108","https://openalex.org/W2149683604","https://openalex.org/W2152520525","https://openalex.org/W2156474948","https://openalex.org/W2185623518","https://openalex.org/W2607614170","https://openalex.org/W3082442330","https://openalex.org/W3140012335","https://openalex.org/W6639670352","https://openalex.org/W6686583834"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W3013650182","https://openalex.org/W2989283631","https://openalex.org/W4249605382","https://openalex.org/W2353392568","https://openalex.org/W4313491656","https://openalex.org/W2348798467","https://openalex.org/W2080426547"],"abstract_inverted_index":{"This":[0],"brief":[1,61],"studies":[2],"the":[3,22,26,35,38,50,68,75,93,99,122,127,133,139,142],"stability":[4,113],"and":[5,65,72,79,105,114],"L":[6,81,116],"<sub":[7,82,117],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,83,118],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[9,84,119],"-gain":[10,120],"problem":[11],"for":[12],"a":[13],"class":[14],"of":[15,25,101,121,141],"systems":[16,136],"with":[17],"input":[18,29],"delays":[19],"subject":[20],"to":[21,49,132,137],"temporary":[23,58],"failure":[24,69,103,106],"controller.":[27],"The":[28,60],"delay":[30,53],"is":[31,41,96,130],"interval":[32,52],"time-varying.":[33],"When":[34],"controller":[36,57,102],"fails,":[37],"zero-order":[39],"hold":[40],"adopted.":[42],"An":[43],"unstable":[44],"system":[45,76,123],"may":[46],"occur":[47],"due":[48],"large":[51],"bound":[54],"caused":[55],"by":[56],"failure.":[59],"addresses":[62],"how":[63,66],"long":[64],"frequent":[67],"can":[70],"be":[71],"still":[73],"maintain":[74],"exponentially":[77],"stable":[78],"weighted":[80,115],"-gain.":[85],"A":[86],"novel":[87],"piecewise":[88],"Lyapunov":[89],"functional,":[90],"which":[91],"includes":[92],"large-delay-integral":[94],"terms,":[95],"applied.":[97],"Under":[98],"restrictions":[100],"frequency":[104],"length":[107],"rate,":[108],"sufficient":[109],"conditions":[110],"guaranteeing":[111],"exponential":[112],"are":[124],"developed.":[125],"Finally,":[126],"proposed":[128,143],"criterion":[129],"applied":[131],"networked":[134],"control":[135],"show":[138],"effectiveness":[140],"method.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}