{"id":"https://openalex.org/W3137519220","doi":"https://doi.org/10.1109/tsmc.2021.3062206","title":"Special Functions-Based Fixed-Time Estimation and Stabilization for Dynamic Systems","display_name":"Special Functions-Based Fixed-Time Estimation and Stabilization for Dynamic Systems","publication_year":2021,"publication_date":"2021-03-12","ids":{"openalex":"https://openalex.org/W3137519220","doi":"https://doi.org/10.1109/tsmc.2021.3062206","mag":"3137519220"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2021.3062206","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2021.3062206","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5082076549","display_name":"Cheng Hu","orcid":"https://orcid.org/0000-0002-2170-0968"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Hu","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, China"],"raw_orcid":"https://orcid.org/0000-0002-2170-0968","affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036612716","display_name":"Haijun Jiang","orcid":"https://orcid.org/0000-0002-0310-6842"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haijun Jiang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":null,"apc_paid":null,"fwci":10.6918,"has_fulltext":false,"cited_by_count":115,"citation_normalized_percentile":{"value":0.98922648,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"52","issue":"5","first_page":"3251","last_page":"3262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear 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/T10040","display_name":"Adaptive Control of Nonlinear 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"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/T12158","display_name":"Guidance and Control Systems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/settling-time","display_name":"Settling time","score":0.7940195798873901},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6787251234054565},{"id":"https://openalex.org/keywords/sign-function","display_name":"Sign function","score":0.6556721925735474},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.5701607465744019},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4859582185745239},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4822255074977875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46311867237091064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44627436995506287},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4387105107307434},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23255273699760437},{"id":"https://openalex.org/keywords/step-response","display_name":"Step response","score":0.20623555779457092},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.12134501338005066},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09487864375114441}],"concepts":[{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.7940195798873901},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6787251234054565},{"id":"https://openalex.org/C4250","wikidata":"https://www.wikidata.org/wiki/Q236813","display_name":"Sign function","level":2,"score":0.6556721925735474},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5701607465744019},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4859582185745239},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4822255074977875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46311867237091064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44627436995506287},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4387105107307434},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23255273699760437},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"score":0.20623555779457092},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.12134501338005066},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09487864375114441},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2021.3062206","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2021.3062206","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1419757071","display_name":null,"funder_award_id":"61963033","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W569613465","https://openalex.org/W1484590079","https://openalex.org/W1550969235","https://openalex.org/W1551360398","https://openalex.org/W1970381782","https://openalex.org/W1986453347","https://openalex.org/W1988837728","https://openalex.org/W2015113370","https://openalex.org/W2026342833","https://openalex.org/W2060446060","https://openalex.org/W2062551655","https://openalex.org/W2092991598","https://openalex.org/W2132723283","https://openalex.org/W2268437176","https://openalex.org/W2556786221","https://openalex.org/W2560040317","https://openalex.org/W2587797689","https://openalex.org/W2590861908","https://openalex.org/W2609122333","https://openalex.org/W2610923504","https://openalex.org/W2732330082","https://openalex.org/W2736101375","https://openalex.org/W2767066896","https://openalex.org/W2774001114","https://openalex.org/W2791423001","https://openalex.org/W2794361571","https://openalex.org/W2797063385","https://openalex.org/W2801439480","https://openalex.org/W2801528349","https://openalex.org/W2802990478","https://openalex.org/W2810485481","https://openalex.org/W2897685010","https://openalex.org/W2900500391","https://openalex.org/W2905032080","https://openalex.org/W2907691972","https://openalex.org/W2908428111","https://openalex.org/W2913307583","https://openalex.org/W2915685599","https://openalex.org/W2922330498","https://openalex.org/W2922358507","https://openalex.org/W2936514007","https://openalex.org/W2944575527","https://openalex.org/W2946526660","https://openalex.org/W2946904016","https://openalex.org/W2947360810","https://openalex.org/W2950032093","https://openalex.org/W2953297110","https://openalex.org/W2962871882","https://openalex.org/W2967120638","https://openalex.org/W2968452038","https://openalex.org/W2968949032","https://openalex.org/W2985495368","https://openalex.org/W2992318705","https://openalex.org/W3012931533","https://openalex.org/W3014679313","https://openalex.org/W3020026885","https://openalex.org/W3020096382","https://openalex.org/W3025292751","https://openalex.org/W3026974127","https://openalex.org/W3047325075","https://openalex.org/W3089308880","https://openalex.org/W4242849907","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W4210637061","https://openalex.org/W2991147428","https://openalex.org/W2957372552","https://openalex.org/W3012964902","https://openalex.org/W4233613738","https://openalex.org/W4286787776","https://openalex.org/W2095182477","https://openalex.org/W4309397896","https://openalex.org/W2220568363","https://openalex.org/W3104799065"],"abstract_inverted_index":{"Fixed-time":[0],"stability":[1],"(FXTS)":[2],"and":[3,31,48,57,66,108,163,193],"fixed-time":[4],"control":[5,165,171],"(FXTC)":[6],"of":[7,22,27,43,46,61,111,128,191],"dynamic":[8],"systems":[9,132],"are":[10,55,63,79,101,167,177,184],"reconsidered":[11],"in":[12,133,157],"this":[13],"article":[14],"based":[15],"on":[16],"special":[17,70],"functions":[18,100],"from":[19],"the":[20,24,33,37,44,80,85,91,95,105,109,112,126,152,164,169,188,194],"view":[21],"improving":[23],"estimate":[25],"accuracy":[26],"settling":[28],"time":[29,137,154],"(ST)":[30],"reducing":[32],"chattering":[34,92,195],"caused":[35,93],"by":[36,41,68,94,116,120],"sign":[38,96,106],"function.":[39],"First,":[40],"means":[42],"idea":[45],"contradiction":[47],"variable":[49],"transformations,":[50],"some":[51,58,98],"generic":[52],"FXTS":[53,110],"criteria":[54],"established":[56],"upper":[59],"bounds":[60],"ST":[62,192],"directly":[64],"calculated":[65],"expressed":[67],"several":[69],"functions.":[71],"It":[72],"is":[73,118,138,145,155],"further":[74],"proved":[75],"that":[76],"these":[77],"estimates":[78,190],"most":[81],"accurate":[82],"compared":[83],"with":[84,173],"existing":[86,170],"results.":[87],"Besides,":[88],"to":[89,103,147,160,186],"suppress":[90],"function,":[97],"saturation":[99,143],"constructed":[102],"replace":[104],"function":[107],"new":[113],"system":[114],"obtained":[115],"replacing":[117],"ensured":[119],"rigorous":[121],"theoretical":[122],"analysis.":[123],"As":[124],"applications,":[125],"problem":[127],"stabilization":[129],"for":[130],"chaotic":[131],"fixed":[134],"or":[135],"preassigned":[136],"explored.":[139],"Especially,":[140],"an":[141],"innovative":[142],"controller":[144],"developed":[146],"realize":[148],"preassigned-time":[149],"stabilization,":[150],"where":[151],"convergence":[153],"prescribed":[156],"advance":[158],"according":[159],"actual":[161],"requirement":[162],"gains":[166,176],"finite,":[168],"methods":[172],"time-varying":[174],"infinite":[175],"essentially":[178],"improved.":[179],"Lastly,":[180],"three":[181],"numerical":[182],"examples":[183],"provided":[185],"verify":[187],"improved":[189],"reduction.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":28},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}