{"id":"https://openalex.org/W4405838370","doi":"https://doi.org/10.1109/lcsys.2024.3523432","title":"Mittag-Leffler Stability of Homogeneous Fractional-Order Systems With Delay","display_name":"Mittag-Leffler Stability of Homogeneous Fractional-Order Systems With Delay","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4405838370","doi":"https://doi.org/10.1109/lcsys.2024.3523432"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3523432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3523432","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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":null,"display_name":"Nguyen Thi Lien","orcid":"https://orcid.org/0000-0002-6575-2452"},"institutions":[{"id":"https://openalex.org/I135822937","display_name":"Hanoi National University of Education","ror":"https://ror.org/0360g3z42","country_code":"VN","type":"education","lineage":["https://openalex.org/I135822937"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Nguyen Thi Lien","raw_affiliation_strings":["Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam","Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0002-6575-2452","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]},{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Le Van Hien","orcid":"https://orcid.org/0000-0002-0882-7809"},"institutions":[{"id":"https://openalex.org/I135822937","display_name":"Hanoi National University of Education","ror":"https://ror.org/0360g3z42","country_code":"VN","type":"education","lineage":["https://openalex.org/I135822937"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Le Van Hien","raw_affiliation_strings":["Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam","Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0002-0882-7809","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]},{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]}]},{"author_position":"last","author":{"id":null,"display_name":"Nguyen Nhu Thang","orcid":"https://orcid.org/0000-0003-1787-3011"},"institutions":[{"id":"https://openalex.org/I135822937","display_name":"Hanoi National University of Education","ror":"https://ror.org/0360g3z42","country_code":"VN","type":"education","lineage":["https://openalex.org/I135822937"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Nhu Thang","raw_affiliation_strings":["Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam","Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0003-1787-3011","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]},{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135822937"],"apc_list":null,"apc_paid":null,"fwci":1.144,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77477084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"3243","last_page":"3248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9972000122070312,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9810000061988831,"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/homogeneous","display_name":"Homogeneous","score":0.7353324890136719},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6911367177963257},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5956818461418152},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.540578305721283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5155096054077148},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4261247515678406},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.342288076877594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2555321156978607},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.0753503143787384},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06349921226501465},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.04361048340797424},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04241326451301575}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7353324890136719},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6911367177963257},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5956818461418152},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.540578305721283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5155096054077148},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4261247515678406},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.342288076877594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2555321156978607},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0753503143787384},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06349921226501465},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.04361048340797424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04241326451301575},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/lcsys.2024.3523432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3523432","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8333348579","display_name":null,"funder_award_id":"B2024-SPH-12","funder_id":"https://openalex.org/F4320311687","funder_display_name":"Ministry of Education"}],"funders":[{"id":"https://openalex.org/F4320311687","display_name":"Ministry of Education","ror":"https://ror.org/03m01yf64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1963748385","https://openalex.org/W2015619899","https://openalex.org/W2046740511","https://openalex.org/W2074283998","https://openalex.org/W2135152519","https://openalex.org/W2143927056","https://openalex.org/W2569674663","https://openalex.org/W2625846854","https://openalex.org/W2769791763","https://openalex.org/W2791630794","https://openalex.org/W2955902581","https://openalex.org/W2964073289","https://openalex.org/W2982720197","https://openalex.org/W2988094785","https://openalex.org/W3211063834","https://openalex.org/W4211137119","https://openalex.org/W4211202937","https://openalex.org/W4247953052","https://openalex.org/W4311772784","https://openalex.org/W4321483358","https://openalex.org/W4323870258","https://openalex.org/W6873647442"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W4246784705","https://openalex.org/W1598955744","https://openalex.org/W3121927021","https://openalex.org/W4390948881","https://openalex.org/W4285167822","https://openalex.org/W1607068974","https://openalex.org/W2951710344"],"abstract_inverted_index":{"This":[0],"note":[1],"is":[2,52,73],"concerned":[3],"with":[4,11,40],"a":[5,41,67,93],"class":[6],"of":[7,30,63,79],"homogeneous":[8,39],"cooperative":[9],"systems":[10],"bounded":[12],"time-varying":[13],"delays":[14],"described":[15],"by":[16,75,92],"the":[17,24,34,50,56,61,77,83,87],"Caputo":[18],"fractional":[19],"derivative.":[20],"We":[21],"focus":[22],"on":[23],"existence,":[25],"uniqueness,":[26],"and":[27,82],"Mittag-Leffler":[28,71,80],"stability":[29,72],"positive":[31],"solutions":[32],"when":[33],"associated":[35],"vector":[36],"fields":[37],"are":[38,90],"degree":[42],"less":[43],"than":[44],"or":[45],"equal":[46],"to":[47],"one.":[48],"Specifically,":[49],"solvability":[51],"first":[53],"exploited":[54],"through":[55],"fixed":[57],"point":[58],"theory,":[59],"leveraging":[60],"homogeneity":[62],"nonlinear":[64],"terms.":[65],"Then,":[66],"delay-independent":[68],"condition":[69],"for":[70],"established":[74],"utilizing":[76],"properties":[78],"functions":[81],"comparison":[84],"principle.":[85],"Finally,":[86],"theoretical":[88],"results":[89],"validated":[91],"given":[94],"numerical":[95],"example.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}