{"id":"https://openalex.org/W2123629006","doi":"https://doi.org/10.1155/2013/146010","title":"Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses","display_name":"Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2123629006","doi":"https://doi.org/10.1155/2013/146010","mag":"2123629006"},"language":"en","primary_location":{"id":"doi:10.1155/2013/146010","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/146010","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/146010.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/146010.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100457338","display_name":"Hai Zhang","orcid":"https://orcid.org/0000-0002-7183-9570"},"institutions":[{"id":"https://openalex.org/I46482218","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78","country_code":"CN","type":"education","lineage":["https://openalex.org/I46482218"]},{"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":"Hai Zhang","raw_affiliation_strings":["Department of Mathematics, Anqing Normal University, Anqing, Anhui 246133, China","Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Anqing Normal University, Anqing, Anhui 246133, China","institution_ids":["https://openalex.org/I46482218"]},{"raw_affiliation_string":"Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"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/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"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","SA"],"is_corresponding":true,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100750315","display_name":"Jiang Wei","orcid":"https://orcid.org/0000-0002-3320-6115"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Jiang","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230039, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230039, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017808266"],"corresponding_institution_ids":["https://openalex.org/I185163786","https://openalex.org/I76569877"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":2.5052,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.8799044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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":0.9462801814079285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6533927917480469},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6313896775245667},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4977774918079376},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.47696125507354736},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.46815207600593567},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4345093369483948},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41434818506240845},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3831302225589752},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2455366551876068},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2290557622909546},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09092432260513306},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07494789361953735}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9462801814079285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6533927917480469},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6313896775245667},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4977774918079376},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.47696125507354736},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.46815207600593567},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4345093369483948},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41434818506240845},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3831302225589752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2455366551876068},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2290557622909546},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09092432260513306},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07494789361953735},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/146010","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/146010","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/146010.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394808005","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808005","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:146010","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/146010.xml","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"},{"id":"pmh:oai:doaj.org/article:9644a41150ee40c98fcbecf732b19066","is_oa":true,"landing_page_url":"https://doaj.org/article/9644a41150ee40c98fcbecf732b19066","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/146010","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/146010","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/146010.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G2272898444","display_name":null,"funder_award_id":"61272530 and 11072059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2471889311","display_name":null,"funder_award_id":"61272530","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3506389503","display_name":null,"funder_award_id":"BK2012741","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5245222477","display_name":null,"funder_award_id":"11072059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5633519312","display_name":null,"funder_award_id":"11072059","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G6332143455","display_name":null,"funder_award_id":"BK2012741","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G764892879","display_name":null,"funder_award_id":"KJ2011A197","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8854865748","display_name":null,"funder_award_id":"61272530","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326664","display_name":"Anhui Provincial Department of Education","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2123629006.pdf","grobid_xml":"https://content.openalex.org/works/W2123629006.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W193812311","https://openalex.org/W580296679","https://openalex.org/W602720839","https://openalex.org/W1553338987","https://openalex.org/W1964133985","https://openalex.org/W1967836167","https://openalex.org/W1975670568","https://openalex.org/W1981313876","https://openalex.org/W1990305784","https://openalex.org/W1997778563","https://openalex.org/W2003829691","https://openalex.org/W2011328721","https://openalex.org/W2013688013","https://openalex.org/W2015619899","https://openalex.org/W2017568798","https://openalex.org/W2019442640","https://openalex.org/W2022568725","https://openalex.org/W2024076415","https://openalex.org/W2028776471","https://openalex.org/W2029630672","https://openalex.org/W2032859305","https://openalex.org/W2035566805","https://openalex.org/W2038998348","https://openalex.org/W2058151382","https://openalex.org/W2069800840","https://openalex.org/W2069953772","https://openalex.org/W2086282751","https://openalex.org/W2093248272","https://openalex.org/W2095136629","https://openalex.org/W2097764820","https://openalex.org/W2098478475","https://openalex.org/W2124319273","https://openalex.org/W2157556441","https://openalex.org/W2158952895","https://openalex.org/W2319479038","https://openalex.org/W2986629677","https://openalex.org/W4206606714","https://openalex.org/W4240465921","https://openalex.org/W4247953052"],"related_works":["https://openalex.org/W2054831413","https://openalex.org/W1999673819","https://openalex.org/W1493380407","https://openalex.org/W3209184047","https://openalex.org/W4237454804","https://openalex.org/W2089892488","https://openalex.org/W1942635442","https://openalex.org/W2170835896","https://openalex.org/W2416906960","https://openalex.org/W1990421243"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,42,71],"concerned":[3],"with":[4,12],"the":[5,45,56,64,68,75],"controllability":[6,51,65],"of":[7,20,36,50,67,77],"linear":[8,69],"fractional":[9,24,78],"differential":[10],"systems":[11,22,41,70],"delay":[13,28,81],"in":[14],"state":[15,37],"and":[16,27,44,47,59],"impulses.":[17,84],"The":[18,34],"factors":[19],"such":[21,40],"including":[23],"derivative,":[25,79],"impulses,":[26],"are":[29,53],"taken":[30],"into":[31],"account":[32],"synchronously.":[33],"expression":[35],"response":[38],"for":[39],"derived,":[43],"sufficient":[46],"necessary":[48],"conditions":[49],"criteria":[52,58],"established.":[54],"Both":[55],"proposed":[57],"illustrative":[60],"examples":[61],"show":[62],"that":[63],"property":[66],"dependent":[72],"neither":[73],"on":[74,80,83],"order":[76],"nor":[82]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}