{"id":"https://openalex.org/W1666300356","doi":"https://doi.org/10.1109/icinfa.2015.7279475","title":"Identification and control for singularly perturbed systems using multi-time-scale neural networks","display_name":"Identification and control for singularly perturbed systems using multi-time-scale neural networks","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1666300356","doi":"https://doi.org/10.1109/icinfa.2015.7279475","mag":"1666300356"},"language":"en","primary_location":{"id":"doi:10.1109/icinfa.2015.7279475","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icinfa.2015.7279475","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Information and Automation","raw_type":"proceedings-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/A5021628372","display_name":"Dongdong Zheng","orcid":"https://orcid.org/0000-0002-7080-2370"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Dongdong Zheng","raw_affiliation_strings":["Department of Mechanical & Industrial Engineering, Concordia University, Montreal, Quebec, Canada","Department of Mechanical and Industrial Engineering, Concordia University , Montreal, Quebec, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical & Industrial Engineering, Concordia University, Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Concordia University , Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085378824","display_name":"Wenfang Xie","orcid":"https://orcid.org/0000-0003-2449-6306"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Wenfang Xie","raw_affiliation_strings":["Department of Mechanical & Industrial Engineering, Concordia University, Montreal, Quebec, Canada","Department of Mechanical and Industrial Engineering, Concordia University , Montreal, Quebec, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical & Industrial Engineering, Concordia University, Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Concordia University , Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051695357","display_name":"Xuemei Ren","orcid":"https://orcid.org/0000-0002-7248-3318"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuemei Ren","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China","School of Automation, Beijing Institute of Technology,China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology,China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021628372"],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":0.3366,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63162244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1233","last_page":"1239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9840999841690063,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9840999841690063,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9767000079154968,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9617999792098999,"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/control-theory","display_name":"Control theory (sociology)","score":0.7311362028121948},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.7126473188400269},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6984357237815857},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5921372175216675},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5728135704994202},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5358700752258301},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5089719295501709},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49962830543518066},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4577881097793579},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45525607466697693},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44702011346817017},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4462515115737915},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16619935631752014},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13238167762756348},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11373242735862732},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.08259865641593933},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0804409384727478}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7311362028121948},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.7126473188400269},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6984357237815857},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5921372175216675},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5728135704994202},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5358700752258301},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5089719295501709},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49962830543518066},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4577881097793579},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45525607466697693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44702011346817017},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4462515115737915},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16619935631752014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13238167762756348},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11373242735862732},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.08259865641593933},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0804409384727478},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icinfa.2015.7279475","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icinfa.2015.7279475","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Information and Automation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6899999976158142,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W47437515","https://openalex.org/W83689434","https://openalex.org/W1515224583","https://openalex.org/W1564299664","https://openalex.org/W1582825494","https://openalex.org/W1751167696","https://openalex.org/W1968481561","https://openalex.org/W1977552261","https://openalex.org/W1982149406","https://openalex.org/W2003889804","https://openalex.org/W2021222718","https://openalex.org/W2037131823","https://openalex.org/W2046380711","https://openalex.org/W2072789058","https://openalex.org/W2083687987","https://openalex.org/W2085105083","https://openalex.org/W2101954373","https://openalex.org/W2102731237","https://openalex.org/W2144186419","https://openalex.org/W2150650296","https://openalex.org/W2154131461","https://openalex.org/W2159273034","https://openalex.org/W4213303927","https://openalex.org/W6644293405"],"related_works":["https://openalex.org/W2055379029","https://openalex.org/W2011339542","https://openalex.org/W2387203662","https://openalex.org/W2332818190","https://openalex.org/W4327639758","https://openalex.org/W2116787190","https://openalex.org/W2154304710","https://openalex.org/W2623488306","https://openalex.org/W1971902905","https://openalex.org/W2006371715"],"abstract_inverted_index":{"Many":[0],"well":[1],"established":[2],"singular":[3,96,103],"perturbation":[4,97,104],"theories":[5],"for":[6,26,60,71,121,131],"singularly":[7,27],"perturbed":[8,28],"systems":[9],"require":[10],"the":[11,48,51,73,76,82,87,106,112,122,138,148,160,163],"full":[12],"knowledge":[13],"of":[14,50,75,162],"system":[15,30,107],"model":[16],"parameters.":[17],"In":[18],"this":[19],"paper,":[20],"a":[21,64],"new":[22],"adaptive":[23,92],"identification":[24,83,88,164],"method":[25],"nonlinear":[29],"using":[31,95,102],"multi-time-scale":[32],"recurrent":[33],"high-order":[34],"neural":[35,79],"networks":[36,80],"is":[37,57,69,99,109,115,126,157,168],"proposed":[38],"to":[39,144],"obtain":[40],"an":[41,90],"accurate":[42],"and":[43,111,147,159,165],"faithful":[44],"model.":[45],"By":[46,101],"extending":[47],"usage":[49],"optimal":[52],"bounded":[53],"ellipsoid":[54],"concept,":[55],"which":[56],"originally":[58],"designed":[59],"discrete":[61],"time":[62,78],"systems,":[63],"novel":[65],"weight":[66],"updating":[67],"law":[68],"developed":[70],"tuning":[72],"weights":[74],"continuous":[77],"during":[81],"process.":[84],"Based":[85],"on":[86],"results,":[89],"indirect":[91],"control":[93,166],"scheme":[94,167],"theory":[98],"developed.":[100],"theory,":[105],"order":[108],"reduced,":[110],"controller":[113],"structure":[114],"simplified.":[116],"The":[117,154],"upper":[118],"bound":[119],"\u03b5*":[120],"small":[123],"parameter":[124],"\u03b5":[125,135],"also":[127],"obtained,":[128],"such":[129],"that":[130],"all":[132],"0":[133,145],"<;":[134,136],"\u03b5*,":[137],"estimated":[139],"tracking":[140,149],"errors":[141],"will":[142,151],"converge":[143],"exponentially,":[146],"error":[150],"be":[152],"bounded.":[153],"closed-loop":[155],"stability":[156],"analyzed":[158],"effectiveness":[161],"demonstrated":[169],"by":[170],"simulation":[171],"results.":[172]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}