{"id":"https://openalex.org/W2982206948","doi":"https://doi.org/10.1109/tsmc.2019.2945358","title":"A Universal Framework of the Generalized Kalman\u2013Yakubovich\u2013Popov Lemma for Singular Fractional-Order Systems","display_name":"A Universal Framework of the Generalized Kalman\u2013Yakubovich\u2013Popov Lemma for Singular Fractional-Order Systems","publication_year":2019,"publication_date":"2019-10-23","ids":{"openalex":"https://openalex.org/W2982206948","doi":"https://doi.org/10.1109/tsmc.2019.2945358","mag":"2982206948"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2019.2945358","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2945358","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/A5101889064","display_name":"Yuman Li","orcid":"https://orcid.org/0000-0002-6270-3129"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Yuman Li","raw_affiliation_strings":["Department of Mechanical Engineering, University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064015289","display_name":"Yiheng Wei","orcid":"https://orcid.org/0000-0002-0080-5365"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiheng Wei","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101939746","display_name":"Yuquan Chen","orcid":"https://orcid.org/0000-0002-3372-0085"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuquan Chen","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011751975","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0002-6773-6544"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wang","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101889064"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":2.1621,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.88027577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"51","issue":"8","first_page":"5209","last_page":"5217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","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/T11081","display_name":"Advanced Control Systems Design","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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9889000058174133,"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/lemma","display_name":"Lemma (botany)","score":0.7790095806121826},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7251415848731995},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5675597786903381},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.492877721786499},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.479608416557312},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.45667052268981934},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.4560011923313141},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.42350322008132935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40154778957366943},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36145371198654175},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3259927034378052},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21033716201782227},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1386437714099884},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06199222803115845}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7790095806121826},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7251415848731995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5675597786903381},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.492877721786499},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.479608416557312},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.45667052268981934},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.4560011923313141},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.42350322008132935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40154778957366943},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36145371198654175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3259927034378052},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21033716201782227},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1386437714099884},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06199222803115845},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2019.2945358","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2945358","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/G5091525278","display_name":null,"funder_award_id":"201806345002","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G5292437645","display_name":null,"funder_award_id":"61601431","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5597822289","display_name":null,"funder_award_id":"1708085QF141","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G8319479462","display_name":null,"funder_award_id":"61573332","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/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1171108462","https://openalex.org/W1542938076","https://openalex.org/W1674450429","https://openalex.org/W1969956371","https://openalex.org/W1978495673","https://openalex.org/W1978515886","https://openalex.org/W1988373104","https://openalex.org/W1992314407","https://openalex.org/W1998066060","https://openalex.org/W2010772750","https://openalex.org/W2030488371","https://openalex.org/W2056703574","https://openalex.org/W2077418568","https://openalex.org/W2084736683","https://openalex.org/W2090214313","https://openalex.org/W2108489060","https://openalex.org/W2111188476","https://openalex.org/W2119836152","https://openalex.org/W2139025031","https://openalex.org/W2139878700","https://openalex.org/W2145067072","https://openalex.org/W2164291844","https://openalex.org/W2294239831","https://openalex.org/W2343085354","https://openalex.org/W2536506418","https://openalex.org/W2568770738","https://openalex.org/W2582971624","https://openalex.org/W2605750787","https://openalex.org/W2610234747","https://openalex.org/W2611869150","https://openalex.org/W2736824775","https://openalex.org/W2775470130","https://openalex.org/W2796379041","https://openalex.org/W2809349980","https://openalex.org/W2884915229","https://openalex.org/W2911901507","https://openalex.org/W6736871554"],"related_works":["https://openalex.org/W3008339103","https://openalex.org/W2404647514","https://openalex.org/W1667647204","https://openalex.org/W3119814709","https://openalex.org/W2018477250","https://openalex.org/W35919320","https://openalex.org/W1508895727","https://openalex.org/W4241418540","https://openalex.org/W2725786787","https://openalex.org/W4283160672"],"abstract_inverted_index":{"The":[0],"well-known":[1],"generalized":[2,54],"Kalman\u2013Yakubovich\u2013Popov":[3,55],"lemma":[4,56,64],"is":[5,25,59,78,88],"widely":[6],"used":[7],"in":[8,39,65],"system":[9],"analysis":[10],"and":[11,84,114],"synthesis.":[12],"However,":[13],"the":[14,50,61,66,69,85,92,112,117],"corresponding":[15,86],"theory":[16],"for":[17,31,57,80],"singular":[18,21],"systems,":[19],"especially":[20],"fractional-order":[22],"systems":[23,35],"(SFOSs),":[24],"lacking.":[26],"Therefore,":[27],"many":[28],"control":[29],"problems":[30],"this":[32,44],"type":[33],"of":[34,49,68,103,116],"cannot":[36],"be":[37],"optimized":[38],"limited":[40],"frequency":[41,52,82],"ranges.":[42],"In":[43],"article,":[45],"a":[46],"universal":[47],"framework":[48],"finite":[51],"band":[53],"SFOSs":[58],"established,":[60],"bounded":[62],"real":[63],"sense":[67],"<inline-formula":[70,93],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[71,94],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[72,95],"<tex-math":[73,96],"notation=\"LaTeX\">${L_{\\infty":[74,97],"}}$":[75],"</tex-math></inline-formula>":[76,100],"-norm":[77],"derived":[79],"different":[81],"ranges,":[83],"controller":[87],"designed":[89],"to":[90,110],"improve":[91],"}":[98],"}$":[99],"performance":[101],"index":[102],"SFOSs.":[104],"Three":[105],"illustrative":[106],"examples":[107],"are":[108],"given":[109],"demonstrate":[111],"correctness":[113],"effectiveness":[115],"theoretical":[118],"results.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}