{"id":"https://openalex.org/W3042906261","doi":"https://doi.org/10.1093/imamci/dnz025","title":"Controllability criteria of fractional differential dynamical systems with non-instantaneous impulses","display_name":"Controllability criteria of fractional differential dynamical systems with non-instantaneous impulses","publication_year":2019,"publication_date":"2019-08-15","ids":{"openalex":"https://openalex.org/W3042906261","doi":"https://doi.org/10.1093/imamci/dnz025","mag":"3042906261"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnz025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnz025","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5112751362","display_name":"B. Sundara Vadivoo","orcid":null},"institutions":[{"id":"https://openalex.org/I131155284","display_name":"Alagappa University","ror":"https://ror.org/04ec9cc06","country_code":"IN","type":"education","lineage":["https://openalex.org/I131155284"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B Sundara Vadivoo","raw_affiliation_strings":["Department of Mathematics, Alagappa University, Karaikudi 630004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Alagappa University, Karaikudi 630004, India","institution_ids":["https://openalex.org/I131155284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034242786","display_name":"R. Raja","orcid":"https://orcid.org/0000-0003-0830-4933"},"institutions":[{"id":"https://openalex.org/I131155284","display_name":"Alagappa University","ror":"https://ror.org/04ec9cc06","country_code":"IN","type":"education","lineage":["https://openalex.org/I131155284"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R Raja","raw_affiliation_strings":["Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India","institution_ids":["https://openalex.org/I131155284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"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":true,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["Research Center for Complex Systems and Network Sciences, School of Mathematics, Southeast University, Nanjing 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center for Complex Systems and Network Sciences, School of Mathematics, Southeast University, Nanjing 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035006871","display_name":"Grienggrai Rajchakit","orcid":"https://orcid.org/0000-0001-6053-6219"},"institutions":[{"id":"https://openalex.org/I190734841","display_name":"Maejo University","ror":"https://ror.org/03c7s1f64","country_code":"TH","type":"education","lineage":["https://openalex.org/I190734841"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"G Rajchakit","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand","institution_ids":["https://openalex.org/I190734841"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061661736","display_name":"Aly R. Seadawy","orcid":"https://orcid.org/0000-0002-7412-4773"},"institutions":[{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Aly R Seadawy","raw_affiliation_strings":["Department of Mathematics and Statistics, Taibah University, Medina 41 477, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Taibah University, Medina 41 477, Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5017808266"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.5673,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.66666667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"37","issue":"3","first_page":"777","last_page":"793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8701467514038086},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.7963664531707764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6896206140518188},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5567479133605957},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.5273523926734924},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5187097191810608},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5138716697692871},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5123516321182251},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.4519661068916321},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4274034798145294},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42173367738723755},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38461869955062866},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36550647020339966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.162785142660141},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0736331045627594},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06560307741165161}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8701467514038086},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7963664531707764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6896206140518188},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5567479133605957},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.5273523926734924},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5187097191810608},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5138716697692871},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5123516321182251},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.4519661068916321},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4274034798145294},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42173367738723755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38461869955062866},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36550647020339966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.162785142660141},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0736331045627594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06560307741165161},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnz025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnz025","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320325587","display_name":"Maejo University","ror":"https://ror.org/03c7s1f64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W183807701","https://openalex.org/W1480782224","https://openalex.org/W1553338987","https://openalex.org/W1584611818","https://openalex.org/W1595467210","https://openalex.org/W1972057304","https://openalex.org/W1979227290","https://openalex.org/W1987168297","https://openalex.org/W1988424251","https://openalex.org/W1990305784","https://openalex.org/W1998251843","https://openalex.org/W2000514636","https://openalex.org/W2003798477","https://openalex.org/W2015192593","https://openalex.org/W2017630341","https://openalex.org/W2018165711","https://openalex.org/W2020148091","https://openalex.org/W2026090121","https://openalex.org/W2033244522","https://openalex.org/W2069953772","https://openalex.org/W2070549656","https://openalex.org/W2085434965","https://openalex.org/W2086570846","https://openalex.org/W2102219424","https://openalex.org/W2133321152","https://openalex.org/W2155136062","https://openalex.org/W2156965764","https://openalex.org/W2160145057","https://openalex.org/W2199063378","https://openalex.org/W2265624002","https://openalex.org/W2292425095","https://openalex.org/W2318861735","https://openalex.org/W2342966486","https://openalex.org/W2343409113","https://openalex.org/W2346710232","https://openalex.org/W2425580862","https://openalex.org/W2474850005","https://openalex.org/W2553582791","https://openalex.org/W2560635176","https://openalex.org/W2562521809","https://openalex.org/W2588173368","https://openalex.org/W2589718569","https://openalex.org/W2608433061","https://openalex.org/W2755666098","https://openalex.org/W2786635825","https://openalex.org/W2939017221","https://openalex.org/W2944331387","https://openalex.org/W2953306964","https://openalex.org/W2953414177","https://openalex.org/W2960545788","https://openalex.org/W2986629677","https://openalex.org/W4213320803","https://openalex.org/W6607476907","https://openalex.org/W6635552965","https://openalex.org/W6651486900","https://openalex.org/W6679635816","https://openalex.org/W6693430174","https://openalex.org/W6721407944","https://openalex.org/W6730808526","https://openalex.org/W6765737147","https://openalex.org/W6769713438","https://openalex.org/W7055147351"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2248621902","https://openalex.org/W4294558370","https://openalex.org/W2526478698","https://openalex.org/W4210360605","https://openalex.org/W2912925551","https://openalex.org/W2577309101","https://openalex.org/W3121904599","https://openalex.org/W1994014931"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"manuscript":[2],"prospects":[3],"the":[4,26,31,36,42,75,82,91,104,110,117,126],"controllability":[5,43,83],"criteria":[6,124],"of":[7,33,44,94,106,121,125],"non-instantaneous":[8,45,72,107],"impulsive":[9,46],"Volterra":[10],"type":[11],"fractional":[12,48,76,111],"differential":[13,49],"systems.":[14],"By":[15],"enroling":[16],"an":[17],"appropriate":[18],"Gramian":[19],"matrix":[20],"that":[21,68],"is":[22,67],"often":[23],"defined":[24],"by":[25,53],"Mittag-Leffler":[27],"function":[28],"and":[29,38,57,80,119],"with":[30,103],"assistance":[32],"Laplace":[34],"transform,":[35],"necessary":[37],"sufficiency":[39],"conditions":[40],"for":[41],"Volterra-type":[47],"equations":[50],"are":[51],"derived":[52],"using":[54],"algebraic":[55],"approach":[56],"Cayley\u2013Hamilton":[58],"theorem.":[59],"An":[60],"important":[61],"feature":[62],"present":[63],"in":[64,90],"our":[65,122],"paper":[66],"we":[69,97],"have":[70,98],"taken":[71],"impulses":[73],"into":[74,109],"order":[77],"dynamical":[78,112],"system":[79],"studied":[81],"analysis,":[84],"since":[85],"this":[86,115],"do":[87],"not":[88],"exist":[89],"available":[92],"source":[93],"literature.":[95],"Inclusively,":[96],"provided":[99],"two":[100],"illustrative":[101],"examples":[102],"existence":[105],"impulse":[108],"system.":[113],"So":[114],"demonstrates":[116],"validity":[118],"efficacy":[120],"obtained":[123],"main":[127],"section.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}