{"id":"https://openalex.org/W3135756520","doi":"https://doi.org/10.1109/cdc45484.2021.9683327","title":"Data-Based System Analysis and Control of Flat Nonlinear Systems","display_name":"Data-Based System Analysis and Control of Flat Nonlinear Systems","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3135756520","doi":"https://doi.org/10.1109/cdc45484.2021.9683327","mag":"3135756520"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683327","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683327","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.02892","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080364368","display_name":"Mohammad Alsalti","orcid":"https://orcid.org/0000-0003-4728-3477"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mohammad Alsalti","raw_affiliation_strings":["Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065926154","display_name":"Julian Berberich","orcid":"https://orcid.org/0000-0001-6366-6238"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Julian Berberich","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059736491","display_name":"Victor G. Lopez","orcid":"https://orcid.org/0000-0003-3989-4091"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Victor G. Lopez","raw_affiliation_strings":["Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allgower","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057092836","display_name":"Matthias A. M\u00fcller","orcid":"https://orcid.org/0000-0002-4911-9526"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias A. Muller","raw_affiliation_strings":["Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080364368"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":null,"apc_paid":null,"fwci":3.0592,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92232558,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1484","last_page":"1489"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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":0.9998999834060669,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9994999766349792,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9993000030517578,"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/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.8004673719406128},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.700566828250885},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6773492097854614},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.6298001408576965},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5911623239517212},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.584086537361145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5075308084487915},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5023038387298584},{"id":"https://openalex.org/keywords/input/output","display_name":"Input/output","score":0.4773945212364197},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.46694910526275635},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43401193618774414},{"id":"https://openalex.org/keywords/time-invariant-system","display_name":"Time-invariant system","score":0.42509496212005615},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.42418837547302246},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36412549018859863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36405324935913086},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3268822133541107},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11366066336631775},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07319167256355286},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06384611129760742},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06323376297950745}],"concepts":[{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.8004673719406128},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.700566828250885},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6773492097854614},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.6298001408576965},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5911623239517212},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.584086537361145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5075308084487915},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5023038387298584},{"id":"https://openalex.org/C196697905","wikidata":"https://www.wikidata.org/wiki/Q2042052","display_name":"Input/output","level":2,"score":0.4773945212364197},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.46694910526275635},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43401193618774414},{"id":"https://openalex.org/C35324005","wikidata":"https://www.wikidata.org/wiki/Q186090","display_name":"Time-invariant system","level":3,"score":0.42509496212005615},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.42418837547302246},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36412549018859863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36405324935913086},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3268822133541107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11366066336631775},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07319167256355286},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06384611129760742},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06323376297950745},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683327","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683327","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2103.02892","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.02892","pdf_url":"https://arxiv.org/pdf/2103.02892","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":"mag:3135756520","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2103.02892","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2103.02892","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.02892","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:2103.02892","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.02892","pdf_url":"https://arxiv.org/pdf/2103.02892","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135756520.pdf","grobid_xml":"https://content.openalex.org/works/W3135756520.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W582265575","https://openalex.org/W610943335","https://openalex.org/W1965324089","https://openalex.org/W1983313164","https://openalex.org/W1996542988","https://openalex.org/W2040871222","https://openalex.org/W2041242313","https://openalex.org/W2094004401","https://openalex.org/W2145738757","https://openalex.org/W2151083101","https://openalex.org/W2166406691","https://openalex.org/W2168029744","https://openalex.org/W2253184749","https://openalex.org/W2547247639","https://openalex.org/W2633963589","https://openalex.org/W2842089854","https://openalex.org/W2922542205","https://openalex.org/W2952672134","https://openalex.org/W2967875632","https://openalex.org/W2969756004","https://openalex.org/W2972609400","https://openalex.org/W2979207987","https://openalex.org/W2995764727","https://openalex.org/W3014984151","https://openalex.org/W3016165507","https://openalex.org/W3018949655","https://openalex.org/W3046374173","https://openalex.org/W3101749733","https://openalex.org/W3109335059","https://openalex.org/W3112866837","https://openalex.org/W3119979174","https://openalex.org/W3150838575","https://openalex.org/W3160954918","https://openalex.org/W3202264307","https://openalex.org/W4232303308","https://openalex.org/W4292872153","https://openalex.org/W6618772305","https://openalex.org/W6641780247","https://openalex.org/W6775650639"],"related_works":["https://openalex.org/W2979207987","https://openalex.org/W2980944032","https://openalex.org/W183591195","https://openalex.org/W3131814213","https://openalex.org/W1995707522","https://openalex.org/W2995764727","https://openalex.org/W2343275971","https://openalex.org/W3163449716","https://openalex.org/W1970230153","https://openalex.org/W2053403497","https://openalex.org/W2289615465","https://openalex.org/W2328029860","https://openalex.org/W2549759888","https://openalex.org/W2119462269","https://openalex.org/W2620926257","https://openalex.org/W3017570211","https://openalex.org/W2118547638","https://openalex.org/W1588967630","https://openalex.org/W2918397708","https://openalex.org/W2767057139"],"abstract_inverted_index":{"Willems":[0],"et":[1],"al.":[2],"showed":[3],"that":[4,31],"all":[5,56],"input-output":[6,28,60],"trajectories":[7,57],"of":[8,20,23,30,43,55],"a":[9,24,52,83],"discrete-time":[10,44],"linear":[11,18],"time-invariant":[12],"system":[13,79],"can":[14],"be":[15],"obtained":[16],"using":[17,58],"combinations":[19],"time":[21],"shifts":[22],"single,":[25],"persistently":[26],"exciting,":[27],"trajectory":[29],"system.":[32],"In":[33],"this":[34,38,65],"paper,":[35],"we":[36,63,86],"extend":[37],"result":[39],"to":[40,67],"the":[41,69,77,88],"class":[42],"single-input":[45],"single-output":[46],"flat":[47],"nonlinear":[48],"systems.":[49],"We":[50],"propose":[51],"data-based":[53,70],"parameterization":[54,66],"only":[59],"data.":[61],"Further,":[62],"use":[64],"solve":[68],"simulation":[71],"and":[72],"output-matching":[73],"control":[74],"problems":[75],"for":[76],"unknown":[78],"without":[80],"explicitly":[81],"identifying":[82],"model.":[84],"Finally,":[85],"illustrate":[87],"main":[89],"results":[90],"with":[91],"numerical":[92],"examples.":[93]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
