{"id":"https://openalex.org/W4286306212","doi":"https://doi.org/10.23919/ascc56756.2022.9828296","title":"On the relative degree of perturbed nonlinear systems","display_name":"On the relative degree of perturbed nonlinear systems","publication_year":2022,"publication_date":"2022-05-04","ids":{"openalex":"https://openalex.org/W4286306212","doi":"https://doi.org/10.23919/ascc56756.2022.9828296"},"language":"en","primary_location":{"id":"doi:10.23919/ascc56756.2022.9828296","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ascc56756.2022.9828296","pdf_url":null,"source":{"id":"https://openalex.org/S4363607827","display_name":"2022 13th Asian Control Conference (ASCC)","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":"2022 13th Asian Control Conference (ASCC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://biblio.ugent.be/publication/01JEE09VA5JPEB1GJN8GG3QP5Q/file/01JEE0DA19QFZFHSKHJWTP797N.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071491835","display_name":"D\u00e1niel Andr\u00e1s Drexler","orcid":"https://orcid.org/0000-0001-6655-4354"},"institutions":[{"id":"https://openalex.org/I2801419141","display_name":"Buda Health Center","ror":"https://ror.org/00yx04352","country_code":"HU","type":"healthcare","lineage":["https://openalex.org/I2801419141"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Daniel Andras Drexler","raw_affiliation_strings":["Óbuda University,Physiological Controls Research Center,Budapest,Hungary"],"affiliations":[{"raw_affiliation_string":"Óbuda University,Physiological Controls Research Center,Budapest,Hungary","institution_ids":["https://openalex.org/I2801419141"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017591069","display_name":"Maria Ghita","orcid":"https://orcid.org/0000-0002-3463-5173"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]},{"id":"https://openalex.org/I2801227569","display_name":"Ghent University Hospital","ror":"https://ror.org/00xmkp704","country_code":"BE","type":"healthcare","lineage":["https://openalex.org/I2801227569"]},{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Maria Ghita","raw_affiliation_strings":["Research group on Dynamical Systems and Control Ghent University,Ghent,Belgium","Faculty of Medicine and Health Sciences, Antwerp University, Wilrijk, Belgium","Research group on Dynamical Systems and Control Ghent University, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Research group on Dynamical Systems and Control Ghent University,Ghent,Belgium","institution_ids":["https://openalex.org/I32597200","https://openalex.org/I2801227569"]},{"raw_affiliation_string":"Faculty of Medicine and Health Sciences, Antwerp University, Wilrijk, Belgium","institution_ids":["https://openalex.org/I149213910"]},{"raw_affiliation_string":"Research group on Dynamical Systems and Control Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021051122","display_name":"Levente Kov\u00e1cs","orcid":"https://orcid.org/0000-0002-3188-0800"},"institutions":[{"id":"https://openalex.org/I2801419141","display_name":"Buda Health Center","ror":"https://ror.org/00yx04352","country_code":"HU","type":"healthcare","lineage":["https://openalex.org/I2801419141"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Levente Kovacs","raw_affiliation_strings":["Óbuda University,Physiological Controls Research Center,Budapest,Hungary"],"affiliations":[{"raw_affiliation_string":"Óbuda University,Physiological Controls Research Center,Budapest,Hungary","institution_ids":["https://openalex.org/I2801419141"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071491835"],"corresponding_institution_ids":["https://openalex.org/I2801419141"],"apc_list":null,"apc_paid":null,"fwci":0.706,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58774485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"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/T14083","display_name":"Extremum Seeking 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"}},"topics":[{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking 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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9973999857902527,"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/linearization","display_name":"Linearization","score":0.7778275012969971},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7159321904182434},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6822293996810913},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6242479085922241},{"id":"https://openalex.org/keywords/feedback-linearization","display_name":"Feedback linearization","score":0.5323940515518188},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5121095180511475},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5105960965156555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5040935277938843},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.48882171511650085},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43979692459106445},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.428954154253006},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2939591705799103},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20584285259246826},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17214113473892212},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08396083116531372},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.057803601026535034}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7778275012969971},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7159321904182434},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6822293996810913},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6242479085922241},{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.5323940515518188},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5121095180511475},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5105960965156555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5040935277938843},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.48882171511650085},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43979692459106445},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.428954154253006},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2939591705799103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20584285259246826},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17214113473892212},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08396083116531372},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.057803601026535034},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ascc56756.2022.9828296","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ascc56756.2022.9828296","pdf_url":null,"source":{"id":"https://openalex.org/S4363607827","display_name":"2022 13th Asian Control Conference (ASCC)","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":"2022 13th Asian Control Conference (ASCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:archive.ugent.be:01JEE09VA5JPEB1GJN8GG3QP5Q","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01JEE09VA5JPEB1GJN8GG3QP5Q","pdf_url":"https://biblio.ugent.be/publication/01JEE09VA5JPEB1GJN8GG3QP5Q/file/01JEE0DA19QFZFHSKHJWTP797N.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN: 9788993215236","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:archive.ugent.be:01JEE09VA5JPEB1GJN8GG3QP5Q","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01JEE09VA5JPEB1GJN8GG3QP5Q","pdf_url":"https://biblio.ugent.be/publication/01JEE09VA5JPEB1GJN8GG3QP5Q/file/01JEE0DA19QFZFHSKHJWTP797N.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN: 9788993215236","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286306212.pdf","grobid_xml":"https://content.openalex.org/works/W4286306212.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1951805393","https://openalex.org/W1964800216","https://openalex.org/W1992154852","https://openalex.org/W2009288036","https://openalex.org/W2103207764","https://openalex.org/W2131106260","https://openalex.org/W2597548790","https://openalex.org/W2735712724","https://openalex.org/W2787015161","https://openalex.org/W2789826736","https://openalex.org/W2896298888","https://openalex.org/W2901212916","https://openalex.org/W2901577445","https://openalex.org/W3154627449","https://openalex.org/W4292872153"],"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":{"The":[0],"exact":[1,17,30],"linearization":[2,18,31],"of":[3,36,83,109],"nonlinear":[4,38],"systems":[5,88],"helps":[6],"us":[7],"cope":[8],"with":[9,74,89],"nonlinearities":[10],"and":[11,105,113,122],"apply":[12],"linear":[13],"control":[14],"theory,":[15],"however,":[16],"requires":[19],"that":[20,61],"the":[21,33,37,53,57,62,66,71,80,93,107,116,124],"system":[22,64],"satisfy":[23],"certain":[24],"criteria.":[25],"One":[26],"key":[27],"parameter":[28,76,111],"during":[29],"is":[32],"relative":[34,68],"degree":[35,69],"system,":[39],"which":[40,59],"may":[41],"drop":[42],"or":[43],"cease":[44],"to":[45,118],"exist":[46],"if":[47],"there":[48],"are":[49],"parametric":[50,90],"perturbations":[51,91],"in":[52,92],"system.":[54],"We":[55,78,97],"examine":[56],"conditions":[58,101,117],"ensure":[60],"perturbed":[63],"has":[65],"same":[67],"as":[70],"original":[72],"one":[73],"nominal":[75],"values.":[77],"analyze":[79],"special":[81,103],"case":[82],"single-input":[84],"single-output":[85],"input":[86],"affine":[87],"drift":[94],"vector":[95],"field.":[96],"first":[98],"provide":[99],"sufficient":[100],"for":[102],"cases":[104,121],"define":[106],"set":[108],"allowed":[110],"values,":[112],"then":[114],"generalize":[115],"cover":[119],"all":[120],"find":[123],"necessary":[125],"conditions.":[126]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}