{"id":"https://openalex.org/W4379932124","doi":"https://doi.org/10.1109/tcsi.2023.3281639","title":"LMI Stability Condition for Delta Fractional Order Systems With Region Approximation","display_name":"LMI Stability Condition for Delta Fractional Order Systems With Region Approximation","publication_year":2023,"publication_date":"2023-06-08","ids":{"openalex":"https://openalex.org/W4379932124","doi":"https://doi.org/10.1109/tcsi.2023.3281639"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2023.3281639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2023.3281639","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064015289","display_name":"Yiheng Wei","orcid":"https://orcid.org/0000-0002-0080-5365"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiheng Wei","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-0080-5365","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052074724","display_name":"Linlin Zhao","orcid":"https://orcid.org/0000-0002-8268-8333"},"institutions":[{"id":"https://openalex.org/I206777745","display_name":"Nanjing Audit University","ror":"https://ror.org/04zj2bd87","country_code":"CN","type":"education","lineage":["https://openalex.org/I206777745"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linlin Zhao","raw_affiliation_strings":["School of Business, Nanjing Audit University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-8268-8333","affiliations":[{"raw_affiliation_string":"School of Business, Nanjing Audit University, Nanjing, China","institution_ids":["https://openalex.org/I206777745"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007452056","display_name":"Jun\u2010Guo Lu","orcid":"https://orcid.org/0000-0002-5012-5624"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junguo Lu","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China","Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-5012-5624","affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China","institution_ids":["https://openalex.org/I1327237609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019580006","display_name":"Fawaz E. Alsaadi","orcid":"https://orcid.org/0000-0003-0041-3158"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fawaz E. Alsaadi","raw_affiliation_strings":["Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-0041-3158","affiliations":[{"raw_affiliation_string":"Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN","KR"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China","Yonsei Frontier Laboratory, Yonsei University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Yonsei Frontier Laboratory, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6357,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.83346063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"70","issue":"9","first_page":"3735","last_page":"3745"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","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/T11081","display_name":"Advanced Control Systems Design","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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944999814033508,"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/notation","display_name":"Notation","score":0.7374153137207031},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6532455086708069},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6333245635032654},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.577342689037323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5254644155502319},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4757751524448395},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47425973415374756},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4510190486907959},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4133818745613098},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2879832684993744},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08687585592269897},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0811883807182312}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7374153137207031},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6532455086708069},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6333245635032654},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.577342689037323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5254644155502319},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4757751524448395},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47425973415374756},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4510190486907959},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4133818745613098},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2879832684993744},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08687585592269897},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0811883807182312},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2023.3281639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2023.3281639","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3022261389","display_name":null,"funder_award_id":"2020YFA0714300","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4585534567","display_name":"\u57fa\u4e8e\u7fa4\u4f53\u667a\u80fd\u7684\u5206\u5e03\u5f0f\u4f18\u5316\u7406\u8bba\u3001\u65b9\u6cd5\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"61833005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4840558731","display_name":null,"funder_award_id":"2242023K40010","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5636019987","display_name":null,"funder_award_id":"62273092","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8375903540","display_name":null,"funder_award_id":"62073217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8771378074","display_name":null,"funder_award_id":"4007012302","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8967878662","display_name":null,"funder_award_id":"U22B2046","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1512097629","https://openalex.org/W1547135986","https://openalex.org/W1580284293","https://openalex.org/W1584464443","https://openalex.org/W1605588363","https://openalex.org/W1991982189","https://openalex.org/W2008315152","https://openalex.org/W2014337209","https://openalex.org/W2030488371","https://openalex.org/W2076432343","https://openalex.org/W2080153087","https://openalex.org/W2088303893","https://openalex.org/W2494005530","https://openalex.org/W2567237076","https://openalex.org/W2571497543","https://openalex.org/W2617651464","https://openalex.org/W2797350206","https://openalex.org/W2890323604","https://openalex.org/W2904232843","https://openalex.org/W2913718111","https://openalex.org/W2995808990","https://openalex.org/W2999359723","https://openalex.org/W3007041701","https://openalex.org/W3009343000","https://openalex.org/W3012195570","https://openalex.org/W3082970028","https://openalex.org/W3090259451","https://openalex.org/W3093915739","https://openalex.org/W3100936423","https://openalex.org/W3126996147","https://openalex.org/W3128594771","https://openalex.org/W3135468044","https://openalex.org/W3193377481","https://openalex.org/W3195871834","https://openalex.org/W3215678657","https://openalex.org/W3216551324","https://openalex.org/W3217018900","https://openalex.org/W4205093747","https://openalex.org/W4206729465","https://openalex.org/W4225996273","https://openalex.org/W4226180019","https://openalex.org/W4226431062","https://openalex.org/W4309878376","https://openalex.org/W4313191939","https://openalex.org/W4319068726","https://openalex.org/W4322493869","https://openalex.org/W4366495704","https://openalex.org/W6634743690"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W1595229445","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W2963177394","https://openalex.org/W1965815883","https://openalex.org/W4313359513","https://openalex.org/W763418848"],"abstract_inverted_index":{"Exploring":[0],"the":[1,20,26,56,79,85,88,97,102,121,124,129,142,159,166,170,177,181,188,193],"stability":[2,57,143],"of":[3,58,81,87,101,123,149,161,192],"delta":[4,59],"fractional":[5,61],"order":[6,62],"systems":[7,63],"is":[8,39,110,114,120,138,183],"essential":[9],"for":[10],"them":[11],"to":[12,41,133,156],"be":[13],"used":[14],"properly":[15],"in":[16,78,147],"various":[17],"applications.":[18],"Since":[19],"existing":[21],"researches":[22],"usually":[23],"focused":[24],"on":[25,131],"system":[27,162],"with":[28,46,64],"<inline-formula":[29,65],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[30,66],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[31,67],"<tex-math":[32,68],"notation=\"LaTeX\">$\\alpha":[33,69],"\\in":[34,70],"(0,1)$":[35],"</tex-math></inline-formula>":[36,72],",":[37],"it":[38,113],"natural":[40],"ponder":[42],"a":[43,106,118],"parallel":[44],"case":[45],"extra":[47],"order.":[48],"Motivated":[49],"by":[50,96,176,198],"this":[51,53],"need,":[52],"study":[54],"addresses":[55],"delay":[60],"(1,2)$":[71],"systematically.":[73],"The":[74],"main":[75],"difficulties":[76],"lie":[77],"approximation":[80,136,167],"stable":[82,99,126],"region":[83,100,109,119],"and":[84,112,154,180,190],"derivation":[86],"relevant":[89],"linear":[90],"matrix":[91,163],"inequalities":[92],"(LMI)":[93],"conditions":[94,144],"caused":[95],"complicated":[98],"suggested":[103],"system.":[104],"Firstly,":[105],"novel":[107],"clustering":[108],"constructed":[111],"proved":[115],"that":[116],"such":[117],"subset":[122],"considered":[125],"region.":[127,168],"Besides,":[128],"scheme":[130],"how":[132],"construct":[134],"alternative":[135],"regions":[137],"discussed":[139],"tentatively.":[140],"Secondly,":[141],"are":[145,152,174,196],"formulated":[146],"terms":[148],"LMIs,":[150],"which":[151],"sufficient":[153],"necessary":[155],"evaluate":[157],"all":[158],"eigenvalues":[160],"locating":[164],"at":[165],"Thirdly,":[169],"complex":[171],"decision":[172],"matrices":[173],"replaced":[175],"real":[178],"ones":[179],"formulation":[182],"therefore":[184],"more":[185],"tractable.":[186],"Finally,":[187],"validity":[189],"applicability":[191],"proposed":[194],"approaches":[195],"demonstrated":[197],"simulation":[199],"study.":[200]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}