{"id":"https://openalex.org/W4327810256","doi":"https://doi.org/10.48550/arxiv.2303.08884","title":"Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning","display_name":"Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning","publication_year":2023,"publication_date":"2023-03-15","ids":{"openalex":"https://openalex.org/W4327810256","doi":"https://doi.org/10.48550/arxiv.2303.08884"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2303.08884","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2303.08884","pdf_url":"https://arxiv.org/pdf/2303.08884","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2303.08884","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036276390","display_name":"Hector Vargas Alvarez","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alvarez, Hector Vargas","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043315604","display_name":"Gianluca Fabiani","orcid":"https://orcid.org/0000-0002-9799-451X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fabiani, Gianluca","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021376706","display_name":"Nikolaos Kazantzis","orcid":"https://orcid.org/0000-0001-9559-4160"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kazantzis, Nikolaos","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090389995","display_name":"Constantinos Siettos","orcid":"https://orcid.org/0000-0002-9568-3355"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Siettos, Constantinos","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036566464","display_name":"Ioannis G. Kevrekidis","orcid":"https://orcid.org/0000-0003-2220-3522"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kevrekidis, Ioannis G.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5036276390"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9580000042915344,"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/T10857","display_name":"Advanced Electron Microscopy Techniques and Applications","score":0.9395999908447266,"subfield":{"id":"https://openalex.org/subfields/1315","display_name":"Structural Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/feedback-linearization","display_name":"Feedback linearization","score":0.8201402425765991},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7038300037384033},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6790610551834106},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5855839848518372},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.567632794380188},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5203070640563965},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5171058177947998},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5016400814056396},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.49609288573265076},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4751149117946625},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4701889753341675},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.46083977818489075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45408040285110474},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4117831587791443},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4013131260871887},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3956010937690735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18731218576431274},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14933925867080688},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09570968151092529}],"concepts":[{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.8201402425765991},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7038300037384033},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6790610551834106},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5855839848518372},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.567632794380188},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5203070640563965},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5171058177947998},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5016400814056396},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.49609288573265076},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4751149117946625},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4701889753341675},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.46083977818489075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45408040285110474},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4117831587791443},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4013131260871887},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3956010937690735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18731218576431274},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14933925867080688},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09570968151092529},{"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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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":"pmh:oai:arXiv.org:2303.08884","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2303.08884","pdf_url":"https://arxiv.org/pdf/2303.08884","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":"doi:10.48550/arxiv.2303.08884","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2303.08884","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2303.08884","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2303.08884","pdf_url":"https://arxiv.org/pdf/2303.08884","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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"},"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4327810256.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1998462347","https://openalex.org/W2349527210","https://openalex.org/W1836713364","https://openalex.org/W2131265573","https://openalex.org/W2899783744","https://openalex.org/W4300511988","https://openalex.org/W130230158","https://openalex.org/W2165424018","https://openalex.org/W2317650444","https://openalex.org/W2964841342"],"abstract_inverted_index":{"We":[0,55,99],"present":[1],"a":[2,51,65,128,131],"physics-informed":[3],"machine":[4],"learning":[5],"(PIML)":[6],"scheme":[7],"for":[8,70],"the":[9,20,39,45,57,60,72,81,90,95,102,112,118,120,125,139,142,145,150,156],"feedback":[10,73],"linearization":[11,74],"of":[12,41,59,92,97,108,124,127,133,141,152,159],"nonlinear":[13,21,46,67],"discrete-time":[14],"dynamical":[15],"systems.":[16],"The":[17],"PIML":[18,62,104,143],"finds":[19],"transformation":[22,47,75],"law,":[23,48],"thus":[24,148],"ensuring":[25],"stability":[26],"via":[27,64],"pole":[28],"placement,":[29],"in":[30,38,44,94,106,122,144,155],"one":[31],"step.":[32],"In":[33],"order":[34],"to":[35,89],"facilitate":[36],"convergence":[37],"presence":[40,91],"steep":[42,86],"gradients":[43],"we":[49],"address":[50],"greedy-wise":[52],"training":[53,157],"procedure.":[54],"assess":[56],"performance":[58],"proposed":[61,103],"approach":[63],"benchmark":[66],"discrete":[68],"map":[69],"which":[71,116],"law":[76],"can":[77],"be":[78],"derived":[79],"analytically;":[80],"example":[82],"is":[83],"characterized":[84],"by":[85],"gradients,":[87],"due":[88],"singularities,":[93],"domain":[96],"interest.":[98],"show":[100],"that":[101],"outperforms,":[105],"terms":[107,123],"numerical":[109,114],"approximation":[110],"accuracy,":[111],"traditional":[113],"implementation,":[115],"involves":[117],"construction--and":[119],"solution":[121],"coefficients":[126],"power-series":[129],"expansion--of":[130],"system":[132],"homological":[134],"equations":[135],"as":[136,138],"well":[137],"implementation":[140],"entire":[146],"domain,":[147],"highlighting":[149],"importance":[151],"continuation":[153],"techniques":[154],"procedure":[158],"PIML.":[160]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2023-03-19T00:00:00"}
