{"id":"https://openalex.org/W3187238085","doi":"https://doi.org/10.1109/tcns.2022.3198832","title":"Discrete-Time Fractional-Order Dynamical Networks Minimum-Energy State Estimation","display_name":"Discrete-Time Fractional-Order Dynamical Networks Minimum-Energy State Estimation","publication_year":2022,"publication_date":"2022-08-15","ids":{"openalex":"https://openalex.org/W3187238085","doi":"https://doi.org/10.1109/tcns.2022.3198832","mag":"3187238085"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2022.3198832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3198832","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Transactions on Control of Network Systems","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/A5039328147","display_name":"Sarthak Chatterjee","orcid":"https://orcid.org/0000-0002-4774-9436"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sarthak Chatterjee","raw_affiliation_strings":["Department of Electrical, Computer, and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-4774-9436","affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer, and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003960846","display_name":"Andrea Alessandretti","orcid":"https://orcid.org/0000-0002-1861-8525"},"institutions":[{"id":"https://openalex.org/I94297397","display_name":"Hilti (Liechtenstein)","ror":"https://ror.org/044h7tr79","country_code":"LI","type":"company","lineage":["https://openalex.org/I94297397"]}],"countries":["LI"],"is_corresponding":false,"raw_author_name":"Andrea Alessandretti","raw_affiliation_strings":["Hilti Group, Feldkircherstrasse 100, Postfach 333, Schaan, Liechtenstein"],"raw_orcid":"https://orcid.org/0000-0002-1861-8525","affiliations":[{"raw_affiliation_string":"Hilti Group, Feldkircherstrasse 100, Postfach 333, Schaan, Liechtenstein","institution_ids":["https://openalex.org/I94297397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069883451","display_name":"A. Pedro Aguiar","orcid":"https://orcid.org/0000-0001-7105-0505"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Antonio Pedro Aguiar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Faculty of Engineering, University of Porto, Porto, Portugal"],"raw_orcid":"https://orcid.org/0000-0001-7105-0505","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Faculty of Engineering, University of Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040066595","display_name":"S\u00e9rgio Pequito","orcid":"https://orcid.org/0000-0002-5143-1543"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"S\u00e9rgio Pequito","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-5143-1543","affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039328147"],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":null,"apc_paid":null,"fwci":0.2775,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60189661,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":"1","first_page":"226","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10429","display_name":"EEG and Brain-Computer Interfaces","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6922591328620911},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6094505786895752},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5745749473571777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5718433856964111},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5291053652763367},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5188571214675903},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.486345112323761},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.42604148387908936},{"id":"https://openalex.org/keywords/neurophysiology","display_name":"Neurophysiology","score":0.41881507635116577},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4009559750556946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31337279081344604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3055613338947296},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2668876051902771},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19243118166923523},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08046466112136841}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6922591328620911},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6094505786895752},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5745749473571777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5718433856964111},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5291053652763367},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5188571214675903},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.486345112323761},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.42604148387908936},{"id":"https://openalex.org/C152478114","wikidata":"https://www.wikidata.org/wiki/Q660910","display_name":"Neurophysiology","level":2,"score":0.41881507635116577},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4009559750556946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31337279081344604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3055613338947296},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2668876051902771},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19243118166923523},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08046466112136841},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcns.2022.3198832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3198832","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Transactions on Control of Network Systems","raw_type":"journal-article"},{"id":"pmh:oai:tudelft.nl:uuid:9491e6e1-fbce-4369-9049-cc3fd9202827","is_oa":false,"landing_page_url":"http://resolver.tudelft.nl/uuid:9491e6e1-fbce-4369-9049-cc3fd9202827","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G3550814528","display_name":null,"funder_award_id":"CMMI-1936578","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4932385818","display_name":null,"funder_award_id":"1936578","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6830413002","display_name":null,"funder_award_id":"PTDC/EEI-AUT/3522/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7458922566","display_name":null,"funder_award_id":"PTDC/EEI-AUT/3522/2020","funder_id":"https://openalex.org/F4320323642","funder_display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320323642","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior","ror":"https://ror.org/045b9pr88"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W287703190","https://openalex.org/W984701801","https://openalex.org/W1964248020","https://openalex.org/W1968134101","https://openalex.org/W1970719998","https://openalex.org/W1975684972","https://openalex.org/W1992447120","https://openalex.org/W1994003949","https://openalex.org/W1998561306","https://openalex.org/W2007935444","https://openalex.org/W2008129302","https://openalex.org/W2009046039","https://openalex.org/W2031868917","https://openalex.org/W2036580231","https://openalex.org/W2055683889","https://openalex.org/W2056020537","https://openalex.org/W2059509336","https://openalex.org/W2063804532","https://openalex.org/W2079705635","https://openalex.org/W2097511645","https://openalex.org/W2105934661","https://openalex.org/W2108132547","https://openalex.org/W2111448212","https://openalex.org/W2129288433","https://openalex.org/W2132134604","https://openalex.org/W2133237971","https://openalex.org/W2138764986","https://openalex.org/W2151669316","https://openalex.org/W2155024951","https://openalex.org/W2162800060","https://openalex.org/W2168914013","https://openalex.org/W2269031592","https://openalex.org/W2289794996","https://openalex.org/W2293007794","https://openalex.org/W2300974746","https://openalex.org/W2345826817","https://openalex.org/W2352009082","https://openalex.org/W2484117929","https://openalex.org/W2501113052","https://openalex.org/W2528525647","https://openalex.org/W2568212120","https://openalex.org/W2595142274","https://openalex.org/W2756081486","https://openalex.org/W2766772168","https://openalex.org/W2902025756","https://openalex.org/W2912353748","https://openalex.org/W2963335520","https://openalex.org/W2964188657","https://openalex.org/W2972506440","https://openalex.org/W2998925276","https://openalex.org/W3001670429","https://openalex.org/W3004086051","https://openalex.org/W3007041701","https://openalex.org/W3048496969","https://openalex.org/W3095403333","https://openalex.org/W3202690131","https://openalex.org/W4234350010","https://openalex.org/W4242849907","https://openalex.org/W4244854774","https://openalex.org/W6676186167","https://openalex.org/W6693511169","https://openalex.org/W6734797129"],"related_works":["https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W2089869689","https://openalex.org/W4388681848","https://openalex.org/W2078952919","https://openalex.org/W2945666329","https://openalex.org/W2617651062","https://openalex.org/W2330535098","https://openalex.org/W2377513064","https://openalex.org/W4394824137"],"abstract_inverted_index":{"Fractional-order":[0],"dynamical":[1,30,60,81],"networks":[2,40,61],"are":[3,42,89,184],"increasingly":[4],"being":[5],"used":[6],"to":[7,98,123,127,163,189],"model":[8],"and":[9,22,86,102,110,126],"describe":[10],"processes":[11],"demonstrating":[12],"long-term":[13],"memory":[14],"or":[15,38,47],"complex":[16],"interlaced":[17],"dependencies":[18],"among":[19],"the":[20,53,56,72,84,107,113,124,134,137,140,148,151,164,171],"spatial":[21],"temporal":[23],"components":[24],"of":[25,29,55,58,74,136,139,150,166,173],"a":[26,51,128],"wide":[27],"variety":[28],"networks.":[31,157],"Notable":[32],"examples":[33],"include":[34],"networked":[35],"control":[36],"systems":[37],"neurophysiological":[39,156],"which":[41,183],"created":[43],"using":[44],"electroencephalographic":[45],"(EEG)":[46],"blood-oxygen-level-dependent":[48],"data.":[49],"As":[50],"result,":[52],"estimation":[54,77,115,175],"states":[57],"fractional-order":[59,80],"poses":[62],"an":[63,92],"important":[64],"problem.":[65],"To":[66],"this":[67,69],"effect,":[68],"article":[70],"addresses":[71],"problem":[73],"minimum-energy":[75],"state":[76,85,174],"for":[78,177],"discrete-time":[79],"networks,":[82],"where":[83],"output":[87],"equations":[88],"affected":[90,191],"by":[91,192],"additive":[93],"noise":[94],"that":[95,112,130],"is":[96,117,131],"considered":[97],"be":[99,190],"deterministic,":[100],"bounded,":[101],"unknown.":[103],"Specifically,":[104],"we":[105],"derive":[106],"corresponding":[108],"estimator":[109],"show":[111],"resulting":[114],"error":[116],"exponentially":[118],"input-to-state":[119],"stable":[120],"with":[121,133],"respect":[122],"disturbances":[125],"signal":[129],"decreasing":[132],"increase":[135],"accuracy":[138],"adopted":[141],"approximation":[142],"model.":[143],"An":[144],"illustrative":[145],"example":[146],"shows":[147],"effectiveness":[149],"proposed":[152],"method":[153],"on":[154],"real-world":[155],"Our":[158],"results":[159],"may":[160],"significantly":[161],"contribute":[162],"development":[165,172],"novel":[167],"neurotechnologies,":[168],"particularly":[169],"in":[170],"paradigms":[176],"neural":[178],"signals":[179,187],"such":[180],"as":[181],"EEG,":[182],"often":[185],"noisy":[186],"known":[188],"artifacts":[193],"not":[194],"having":[195],"any":[196],"particular":[197],"stochastic":[198],"characterization.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
