{"id":"https://openalex.org/W4312873404","doi":"https://doi.org/10.1109/access.2022.3228788","title":"Fractional Stochastic Gradient Algorithm for Time-Delayed Models With Piece-Wise Linear Input Using Self-Organizing Maps Method","display_name":"Fractional Stochastic Gradient Algorithm for Time-Delayed Models With Piece-Wise Linear Input Using Self-Organizing Maps Method","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312873404","doi":"https://doi.org/10.1109/access.2022.3228788"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3228788","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3228788","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09982616.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/ielx7/6287639/6514899/09982616.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007824025","display_name":"Jia Tang","orcid":"https://orcid.org/0000-0002-3288-8126"},"institutions":[{"id":"https://openalex.org/I4210132399","display_name":"Wuxi Vocational Institute of Commerce","ror":"https://ror.org/03bdrtb23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210132399"]},{"id":"https://openalex.org/I4387152958","display_name":"Wuxi Vocational College of Science and Technology","ror":"https://ror.org/00y0p0f23","country_code":null,"type":"education","lineage":["https://openalex.org/I4387152958"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jia Tang","raw_affiliation_strings":["Wuxi Vocational College of Science and Technology, Wuxi, China","Wuxi Vocational College of Science and Technology, Wuxi, PR China"],"raw_orcid":"https://orcid.org/0000-0002-3288-8126","affiliations":[{"raw_affiliation_string":"Wuxi Vocational College of Science and Technology, Wuxi, China","institution_ids":["https://openalex.org/I4210132399","https://openalex.org/I4387152958"]},{"raw_affiliation_string":"Wuxi Vocational College of Science and Technology, Wuxi, PR China","institution_ids":["https://openalex.org/I4210132399","https://openalex.org/I4387152958"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007824025"],"corresponding_institution_ids":["https://openalex.org/I4210132399","https://openalex.org/I4387152958"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16743033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"131053","last_page":"131060"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T11236","display_name":"Control Systems and Identification","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/T10320","display_name":"Neural Networks and Applications","score":0.9994999766349792,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9980999827384949,"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/convergence","display_name":"Convergence (economics)","score":0.6702647805213928},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6622111201286316},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5681816339492798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5534852743148804},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4380732774734497},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4335230588912964},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4279693365097046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3905496299266815},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3388345241546631}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6702647805213928},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6622111201286316},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5681816339492798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5534852743148804},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4380732774734497},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4335230588912964},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4279693365097046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3905496299266815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3388345241546631},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3228788","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3228788","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09982616.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:50b00c500aa5491d9494c9e37117968d","is_oa":false,"landing_page_url":"https://doaj.org/article/50b00c500aa5491d9494c9e37117968d","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 131053-131060 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3228788","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3228788","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09982616.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":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G6753035342","display_name":null,"funder_award_id":"18KJB120009","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G6856013056","display_name":null,"funder_award_id":"BK20131109","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312873404.pdf","grobid_xml":"https://content.openalex.org/works/W4312873404.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W1598493736","https://openalex.org/W1964409440","https://openalex.org/W2009937941","https://openalex.org/W2041204311","https://openalex.org/W2058432550","https://openalex.org/W2086901931","https://openalex.org/W2092766760","https://openalex.org/W2600551228","https://openalex.org/W2764221283","https://openalex.org/W2803647139","https://openalex.org/W2804206910","https://openalex.org/W2905412785","https://openalex.org/W2963774371","https://openalex.org/W3008811920","https://openalex.org/W3017977360","https://openalex.org/W3100383218","https://openalex.org/W3115197438","https://openalex.org/W3117231895","https://openalex.org/W3135096824","https://openalex.org/W3159192916","https://openalex.org/W3159630100","https://openalex.org/W3168606244","https://openalex.org/W3182458064","https://openalex.org/W3202591407","https://openalex.org/W3203958365","https://openalex.org/W3206253124","https://openalex.org/W3207950862","https://openalex.org/W4205282186","https://openalex.org/W4206263005","https://openalex.org/W4213056330","https://openalex.org/W4213363428","https://openalex.org/W4288064488","https://openalex.org/W6631190155"],"related_works":["https://openalex.org/W1517908938","https://openalex.org/W2154204858","https://openalex.org/W3209622820","https://openalex.org/W2382250648","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W2367363545","https://openalex.org/W3123492739","https://openalex.org/W2586383879","https://openalex.org/W2039911503"],"abstract_inverted_index":{"Although":[0],"stochastic":[1,33,65,82,88],"gradient":[2,34,66,83,89],"algorithm":[3,35,67,90],"can":[4],"identify":[5],"linear":[6,40],"systems":[7,16,37],"with":[8,38],"high":[9],"efficiency.":[10],"It":[11],"is":[12,46,91],"inefficient":[13],"for":[14,17,36],"nonlinear":[15,44,51],"the":[18,21,43,54,63,76,80,102,105],"difficulty":[19],"in":[20],"step-size":[22],"designing.":[23],"To":[24],"overcome":[25],"this":[26,28],"dilemma,":[27],"paper":[29],"proposes":[30],"a":[31,49,85],"fractional":[32,64,81,87],"piece-wise":[39],"input.":[41],"First,":[42],"system":[45],"transformed":[47],"into":[48],"polynomial":[50],"model,":[52],"then":[53],"parameters":[55],"and":[56,68,95],"time-delay":[57],"are":[58,98],"estimated":[59],"iteratively":[60],"based":[61],"on":[62],"self-organizing":[69],"maps":[70],"method.":[71],"In":[72],"addition,":[73],"to":[74,100],"increase":[75],"convergence":[77],"rates":[78],"of":[79,104],"algorithm,":[84],"multi-innovation":[86],"developed.":[92],"Convergence":[93],"analysis":[94],"simulation":[96],"examples":[97],"introduced":[99],"show":[101],"effectiveness":[103],"proposed":[106],"algorithms.":[107]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}