{"id":"https://openalex.org/W3199429258","doi":"https://doi.org/10.1109/access.2021.3112636","title":"Maximum Likelihood Estimation of Stochastic Fractional Singular Models","display_name":"Maximum Likelihood Estimation of Stochastic Fractional Singular Models","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3199429258","doi":"https://doi.org/10.1109/access.2021.3112636","mag":"3199429258"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3112636","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3112636","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09536765.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09536765.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031584658","display_name":"Komeil Nosrati","orcid":"https://orcid.org/0000-0001-9507-961X"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Komeil Nosrati","raw_affiliation_strings":["School of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran. (e-mail: nosrati_k@aut.ac.ir)","School of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran. (e-mail: nosrati_k@aut.ac.ir)","institution_ids":["https://openalex.org/I158248296"]},{"raw_affiliation_string":"School of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040978000","display_name":"Derek Abbott","orcid":"https://orcid.org/0000-0002-0945-2674"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Derek Abbott","raw_affiliation_strings":["School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027273282","display_name":"Masoud Shafiee","orcid":"https://orcid.org/0000-0002-1290-2226"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Masoud Shafiee","raw_affiliation_strings":["School of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031584658"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6914,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69830479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"128276","last_page":"128287"},"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/T11236","display_name":"Control Systems and Identification","score":0.9926999807357788,"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/T14083","display_name":"Extremum Seeking Control Systems","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/kalman-filter","display_name":"Kalman filter","score":0.691351056098938},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5808074474334717},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5439327955245972},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5411026477813721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5351392030715942},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.5021688938140869},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4983189105987549},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4678153693675995},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4296693801879883},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.42296987771987915},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3790881037712097},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35565775632858276},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17814558744430542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10207691788673401},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08357605338096619}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.691351056098938},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5808074474334717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5439327955245972},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5411026477813721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5351392030715942},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.5021688938140869},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4983189105987549},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4678153693675995},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4296693801879883},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.42296987771987915},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3790881037712097},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35565775632858276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17814558744430542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10207691788673401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08357605338096619},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3112636","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3112636","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09536765.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:229d93f7512141bbaeebc6db621ce203","is_oa":true,"landing_page_url":"https://doaj.org/article/229d93f7512141bbaeebc6db621ce203","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 128276-128287 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3112636","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3112636","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09536765.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3199429258.pdf","grobid_xml":"https://content.openalex.org/works/W3199429258.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1964848243","https://openalex.org/W1994700156","https://openalex.org/W2095473108","https://openalex.org/W2096747504","https://openalex.org/W2104849640","https://openalex.org/W2118426735","https://openalex.org/W2125839633","https://openalex.org/W2168670302","https://openalex.org/W2610234747","https://openalex.org/W2624866589","https://openalex.org/W2626246803","https://openalex.org/W2767714655","https://openalex.org/W2791143635","https://openalex.org/W2810602582","https://openalex.org/W2891568620","https://openalex.org/W2949898808","https://openalex.org/W2975274011","https://openalex.org/W2995081848","https://openalex.org/W3003602058","https://openalex.org/W3032869186"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2351859806","https://openalex.org/W4380084862","https://openalex.org/W4379540029","https://openalex.org/W2155160077","https://openalex.org/W1151680090","https://openalex.org/W2373986795","https://openalex.org/W4248716649","https://openalex.org/W1500575820","https://openalex.org/W2085014295"],"abstract_inverted_index":{"Using":[0],"the":[1,14,26,38,44,75,87,90],"non-causal":[2],"nature":[3],"of":[4,16,67,89],"a":[5,51,101],"fractional-order":[6],"singular":[7,54],"(FOS)":[8],"model,":[9],"this":[10],"paper":[11],"deals":[12],"with":[13],"modification":[15],"an":[17,81],"estimation":[18,28],"algorithm":[19],"developed":[20],"in":[21],"[1]":[22],"and":[23,65,80,95],"demonstrates":[24],"how":[25],"derived":[27,91],"procedure":[29,42],"can":[30],"be":[31],"adjusted":[32],"by":[33],"additional":[34],"information":[35],"related":[36],"to":[37,50,60],"future":[39],"dynamics.":[40],"The":[41],"adopts":[43],"maximum":[45],"likelihood":[46],"(ML)":[47],"method":[48],"leading":[49],"3-block":[52],"fractional":[53],"Kalman":[55],"filter":[56,83,92],"(FSKF).":[57],"In":[58],"addition":[59],"some":[61],"conditions":[62],"on":[63,100],"existence":[64],"uniqueness":[66],"solutions":[68],"for":[69],"discrete-time":[70],"linear":[71],"stochastic":[72],"FOS":[73],"models,":[74],"estimability":[76],"analyses":[77],"are":[78],"given":[79],"optimal":[82],"is":[84,93],"presented.":[85],"Finally,":[86],"performance":[88],"verified":[94],"validated":[96],"via":[97],"numerical":[98],"simulation":[99],"three":[102],"machine":[103],"infinite":[104],"bus":[105],"system.":[106]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}