{"id":"https://openalex.org/W4205091471","doi":"https://doi.org/10.1109/access.2021.3138985","title":"New Results on the Stability and L\u2082-L\u221e Control of It\u00f4 Stochastic Systems With Sawtooth-Like Input Delay","display_name":"New Results on the Stability and L\u2082-L\u221e Control of It\u00f4 Stochastic Systems With Sawtooth-Like Input Delay","publication_year":2021,"publication_date":"2021-12-28","ids":{"openalex":"https://openalex.org/W4205091471","doi":"https://doi.org/10.1109/access.2021.3138985"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3138985","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3138985","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09663413.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09663413.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025531603","display_name":"Yue Qian","orcid":"https://orcid.org/0000-0001-9224-8721"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Qian","raw_affiliation_strings":["University of Shanghai for Science and Technology, Shanghai, 10252 China. (e-mail: 1225355756@qq.com)","University of Shanghai for Science and Technology, Shanghai, 10252 China"],"raw_orcid":"https://orcid.org/0000-0001-9224-8721","affiliations":[{"raw_affiliation_string":"University of Shanghai for Science and Technology, Shanghai, 10252 China. (e-mail: 1225355756@qq.com)","institution_ids":["https://openalex.org/I148128674"]},{"raw_affiliation_string":"University of Shanghai for Science and Technology, Shanghai, 10252 China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100518279","display_name":"Dianli Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dianli Zhao","raw_affiliation_strings":["University of Shanghai for Science and Technology, Shanghai, 10252 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Shanghai for Science and Technology, Shanghai, 10252 China","institution_ids":["https://openalex.org/I148128674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I148128674"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.1086,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.43396904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"10","issue":null,"first_page":"708","last_page":"717"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9991000294685364,"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/T11236","display_name":"Control Systems and Identification","score":0.9934999942779541,"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/sawtooth-wave","display_name":"Sawtooth wave","score":0.7511147260665894},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.673295259475708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6571637988090515},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5446639657020569},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5350381731987},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5193144679069519},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4737706482410431},{"id":"https://openalex.org/keywords/stability-criterion","display_name":"Stability criterion","score":0.4610987901687622},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44469407200813293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3684150278568268},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26596519351005554},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20406746864318848},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17703911662101746},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09980934858322144}],"concepts":[{"id":"https://openalex.org/C148837635","wikidata":"https://www.wikidata.org/wiki/Q1742397","display_name":"Sawtooth wave","level":2,"score":0.7511147260665894},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.673295259475708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6571637988090515},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5446639657020569},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5350381731987},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5193144679069519},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4737706482410431},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.4610987901687622},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44469407200813293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3684150278568268},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26596519351005554},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20406746864318848},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17703911662101746},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09980934858322144},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3138985","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3138985","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09663413.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e35248f6329a49da86bc3d46b86a1069","is_oa":true,"landing_page_url":"https://doaj.org/article/e35248f6329a49da86bc3d46b86a1069","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 708-717 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3138985","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3138985","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09663413.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G266083022","display_name":null,"funder_award_id":"XTKX 2012","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"},{"id":"https://openalex.org/G479736660","display_name":null,"funder_award_id":"XTKX 2012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4802521786","display_name":null,"funder_award_id":"11671260","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"},{"id":"https://openalex.org/G7027321461","display_name":"\u6c14\u5019\u53d8\u5316\u5f71\u54cd\u4e0b\u6d77\u6d0b\u6d6e\u6e38\u751f\u6001\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u6a21\u578b\u7814\u7a76","funder_award_id":"11671260","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8441118246","display_name":"\u6c14\u5019\u53d8\u5316\u5bf9\u4e1c\u6d77\u9c7c\u7c7b\u79cd\u7fa4\u52a8\u529b\u5b66\u7684\u5f71\u54cd\u7814\u7a76","funder_award_id":"12071293","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335766","display_name":"Shanghai Leading Academic Discipline Project","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4205091471.pdf","grobid_xml":"https://content.openalex.org/works/W4205091471.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W100511405","https://openalex.org/W595450295","https://openalex.org/W1506119886","https://openalex.org/W1563801920","https://openalex.org/W1982872712","https://openalex.org/W1992051469","https://openalex.org/W2024663546","https://openalex.org/W2025949792","https://openalex.org/W2047871806","https://openalex.org/W2065740685","https://openalex.org/W2068483374","https://openalex.org/W2075229508","https://openalex.org/W2099279641","https://openalex.org/W2128613176","https://openalex.org/W2327745983","https://openalex.org/W2511753639","https://openalex.org/W2575553522","https://openalex.org/W2606318928","https://openalex.org/W2731009836","https://openalex.org/W2768000004","https://openalex.org/W2789878803","https://openalex.org/W2901023245","https://openalex.org/W2916021631","https://openalex.org/W2927299624","https://openalex.org/W2944463089","https://openalex.org/W2949235991","https://openalex.org/W2991312250","https://openalex.org/W3003305961","https://openalex.org/W3004783006","https://openalex.org/W3014473389","https://openalex.org/W3016513568","https://openalex.org/W3020324824","https://openalex.org/W3022882480","https://openalex.org/W3042698476","https://openalex.org/W3046077266","https://openalex.org/W3082998229","https://openalex.org/W3094832876","https://openalex.org/W3106074051","https://openalex.org/W3115946398","https://openalex.org/W3122615605","https://openalex.org/W3143653154","https://openalex.org/W3154440770","https://openalex.org/W3154747278","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2144205999","https://openalex.org/W2016474938","https://openalex.org/W1969119879","https://openalex.org/W2034845769","https://openalex.org/W2499985746","https://openalex.org/W2160305831","https://openalex.org/W2008759660","https://openalex.org/W1748263240","https://openalex.org/W2107196010","https://openalex.org/W2120171152"],"abstract_inverted_index":{"This":[0],"paper":[1,129],"considers":[2],"the":[3,14,25,37,40,43,46,52,57,70,90,93,101,106,121,142,147,157,162],"stability":[4,64,91],"and":[5,74,159],"L2-L\u221e":[6,98],"control":[7],"problem":[8],"for":[9],"It\u00f4":[10],"stochastic":[11,47,54,72],"systems":[12,23],"with":[13,19,24,95],"sawtooth-like":[15,26],"input":[16,27],"delay.":[17],"Compared":[18],"previously-known":[20],"results":[21],"on":[22],"delay,":[28],"a":[29,59,75,82,96],"new":[30],"auxiliary":[31,138],"system":[32,55,94,139],"is":[33,49,66,86,110,130,133],"introduced":[34],"to":[35,88,140,155],"reduce":[36],"conservatism":[38],"of":[39,45,92,103,161],"system.":[41],"Besides,":[42],"influence":[44,102],"noises":[48],"investigated.":[50],"For":[51],"delayed":[53],"without":[56],"disturbance,":[58],"LMI":[60],"type":[61],"mean-square":[62],"asymptotical":[63],"criterion":[65],"derived":[67],"by":[68,112,135],"using":[69],"Bessel-Legendre":[71],"inequality":[73],"modified":[76],"finite-interval":[77],"quadratic":[78],"polynomial":[79],"inequality.":[80],"Then":[81],"linear":[83],"feedback":[84],"controller":[85,107],"proposed":[87],"realize":[89],"prescribed":[97],"performance":[99],"under":[100],"disturbances,":[104],"where":[105],"gain":[108],"matrix":[109],"designed":[111],"introducing":[113,136],"slack":[114],"variables.":[115],"To":[116],"be":[117],"pointed":[118],"out":[119],"that":[120],"augmented":[122],"Lyapunov-Krasovskii":[123],"functional":[124],"(LKF)":[125],"used":[126],"in":[127,146],"this":[128],"new,":[131],"which":[132],"constructed":[134],"an":[137],"increase":[141],"delay-dependent":[143],"function":[144],"terms":[145],"discriminant.":[148],"Finally,":[149],"two":[150],"numerical":[151],"examples":[152],"are":[153],"given":[154],"show":[156],"validness":[158],"effectiveness":[160],"theoretical":[163],"results.":[164]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}