{"id":"https://openalex.org/W4387959166","doi":"https://doi.org/10.1080/00207721.2023.2269292","title":"Boundary stabilisation of fractional reaction-diffusion systems with time-varying delays","display_name":"Boundary stabilisation of fractional reaction-diffusion systems with time-varying delays","publication_year":2023,"publication_date":"2023-10-25","ids":{"openalex":"https://openalex.org/W4387959166","doi":"https://doi.org/10.1080/00207721.2023.2269292"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2023.2269292","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2023.2269292","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5056708463","display_name":"K. Mathiyalagan","orcid":"https://orcid.org/0000-0003-2323-3328"},"institutions":[{"id":"https://openalex.org/I111575329","display_name":"Bharathiar University","ror":"https://ror.org/04fht8c22","country_code":"IN","type":"education","lineage":["https://openalex.org/I111575329"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K. Mathiyalagan","raw_affiliation_strings":["Department of Mathematics, Bharathiar University, Coimbatore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bharathiar University, Coimbatore, India","institution_ids":["https://openalex.org/I111575329"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010034342","display_name":"T. Renugadevi","orcid":null},"institutions":[{"id":"https://openalex.org/I111575329","display_name":"Bharathiar University","ror":"https://ror.org/04fht8c22","country_code":"IN","type":"education","lineage":["https://openalex.org/I111575329"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"T. Renugadevi","raw_affiliation_strings":["Department of Mathematics, Bharathiar University, Coimbatore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bharathiar University, Coimbatore, India","institution_ids":["https://openalex.org/I111575329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101793717","display_name":"Huiyan Zhang","orcid":"https://orcid.org/0000-0003-3406-8954"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiyan Zhang","raw_affiliation_strings":["National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I145581781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056708463"],"corresponding_institution_ids":["https://openalex.org/I111575329"],"apc_list":null,"apc_paid":null,"fwci":0.8773,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75613106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"55","issue":"2","first_page":"209","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9995999932289124,"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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.8656818866729736},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.7868239283561707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6139797568321228},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5851008892059326},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5598414540290833},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5315181016921997},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.523731529712677},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5053418278694153},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.49117371439933777},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4381251633167267},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4253781735897064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2916256785392761},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2672133445739746},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2655816674232483},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24088448286056519},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.09950026869773865}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8656818866729736},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7868239283561707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6139797568321228},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5851008892059326},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5598414540290833},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5315181016921997},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.523731529712677},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5053418278694153},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.49117371439933777},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4381251633167267},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4253781735897064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2916256785392761},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2672133445739746},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2655816674232483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24088448286056519},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.09950026869773865},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2023.2269292","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2023.2269292","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:55:y:2024:i:2:p:209-221","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2023.2269292","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W568671212","https://openalex.org/W1418158239","https://openalex.org/W1584611818","https://openalex.org/W1973492665","https://openalex.org/W1974053006","https://openalex.org/W1979893394","https://openalex.org/W1982261380","https://openalex.org/W2004202105","https://openalex.org/W2092861539","https://openalex.org/W2255911838","https://openalex.org/W2256218829","https://openalex.org/W2499641798","https://openalex.org/W2501843943","https://openalex.org/W2765520046","https://openalex.org/W2765924212","https://openalex.org/W2787959293","https://openalex.org/W2914933876","https://openalex.org/W2945365722","https://openalex.org/W2972736129","https://openalex.org/W2980176324","https://openalex.org/W2998924843","https://openalex.org/W3010836620","https://openalex.org/W3016424291","https://openalex.org/W3048785731","https://openalex.org/W3087579456","https://openalex.org/W3096627178","https://openalex.org/W3102234431","https://openalex.org/W3117323091","https://openalex.org/W3153577920","https://openalex.org/W3158747489","https://openalex.org/W3165702642","https://openalex.org/W4210492522","https://openalex.org/W4232779220","https://openalex.org/W4247963577","https://openalex.org/W4249593148","https://openalex.org/W4280650924","https://openalex.org/W4281638096","https://openalex.org/W4386439364"],"related_works":["https://openalex.org/W2771027241","https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2132535444","https://openalex.org/W2534185822","https://openalex.org/W2367651125","https://openalex.org/W2387936656","https://openalex.org/W2063297487","https://openalex.org/W2567073787"],"abstract_inverted_index":{"This":[0],"paper":[1],"examines":[2],"the":[3,22,26,30,33,37,49,59,62,71,74,83,86,95,98,100],"boundary":[4,23],"stabilisation":[5],"results":[6,64],"for":[7,25,65],"time":[8,108],"fractional-order":[9,109],"reaction-diffusion":[10,110],"systems":[11],"involving":[12],"with":[13,82],"time-varying":[14],"delays.":[15],"The":[16],"main":[17],"goal":[18],"is":[19,45],"to":[20,47,93],"design":[21],"control":[24],"system":[27,51],"by":[28],"proving":[29],"well-posedness":[31],"of":[32,73,85,97],"kernel":[34],"function":[35],"using":[36],"backstepping":[38],"method.":[39],"An":[40],"invertible":[41],"Volterra":[42],"integral":[43],"transformation":[44],"used":[46],"convert":[48],"considered":[50],"into":[52],"a":[53,107],"stable":[54],"target":[55],"system.":[56],"Different":[57],"from":[58],"existing":[60],"results,":[61,99],"stability":[63],"fractional":[66],"RDEs":[67],"are":[68,80,103],"discussed":[69],"in":[70],"sense":[72],"Lyapunov\u2013Krasovskii":[75],"theory":[76],"and":[77],"sufficient":[78],"conditions":[79,102],"derived":[81],"help":[84],"linear":[87],"matrix":[88],"inequality":[89],"(LMI)":[90],"approach.":[91],"Finally,":[92],"show":[94],"application":[96],"proposed":[101],"numerically":[104],"validated":[105],"over":[106],"cellular":[111],"neural":[112],"network":[113],"model.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}