{"id":"https://openalex.org/W2094694574","doi":"https://doi.org/10.1137/050627137","title":"Single Output-Dependent Observability Normal Form","display_name":"Single Output-Dependent Observability Normal Form","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2094694574","doi":"https://doi.org/10.1137/050627137","mag":"2094694574"},"language":"en","primary_location":{"id":"doi:10.1137/050627137","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050627137","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00179184","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038119641","display_name":"Gang Zheng","orcid":"https://orcid.org/0000-0002-5671-7700"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gang Zheng","raw_affiliation_strings":["Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057148868","display_name":"Driss Boutat","orcid":"https://orcid.org/0000-0001-6026-5674"},"institutions":[{"id":"https://openalex.org/I1340951533","display_name":"Institut de la Vision","ror":"https://ror.org/000zhpw23","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1340951533","https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Driss Boutat","raw_affiliation_strings":["Laboratoire de Vision et Robotique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Vision et Robotique","institution_ids":["https://openalex.org/I1340951533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004295114","display_name":"Jean\u2010Pierre Barbot","orcid":"https://orcid.org/0000-0002-7723-2534"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Pierre Barbot","raw_affiliation_strings":["Algebra for Digital Identification and Estimation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algebra for Digital Identification and Estimation","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9742,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.8727132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"46","issue":"6","first_page":"2242","last_page":"2255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9923999905586243,"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":0.989799976348877,"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/observability","display_name":"Observability","score":0.9424393177032471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8620220422744751},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.8397954702377319},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6610190868377686},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6055799126625061},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.5828275084495544},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5814966559410095},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4263726770877838},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4108317792415619},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3022267520427704},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24965673685073853},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16606813669204712},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11504778265953064},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0655306875705719}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9424393177032471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8620220422744751},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.8397954702377319},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6610190868377686},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6055799126625061},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.5828275084495544},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5814966559410095},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4263726770877838},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4108317792415619},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3022267520427704},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24965673685073853},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16606813669204712},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11504778265953064},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0655306875705719},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/050627137","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050627137","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.220.4001","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.4001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/17/91/84/PDF/SIAM_HAL.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00179184v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00179184","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM Journal on Control and Optimization, 2007, 46 (6), pp.2242-2255. &#x27E8;10.1137/050627137&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00179184v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00179184","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM Journal on Control and Optimization, 2007, 46 (6), pp.2242-2255. &#x27E8;10.1137/050627137&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1500110844","https://openalex.org/W1541458810","https://openalex.org/W1887006513","https://openalex.org/W1987623216","https://openalex.org/W2013384158","https://openalex.org/W2015396717","https://openalex.org/W2029144431","https://openalex.org/W2037141435","https://openalex.org/W2072823665","https://openalex.org/W2093352963","https://openalex.org/W2097419103","https://openalex.org/W2104860433","https://openalex.org/W2108775655","https://openalex.org/W2131920939","https://openalex.org/W2173487526","https://openalex.org/W2614225252","https://openalex.org/W2616481724"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W2185803586","https://openalex.org/W2918259018","https://openalex.org/W4282043128","https://openalex.org/W2042029506","https://openalex.org/W2046871755"],"abstract_inverted_index":{"This":[0],"paper":[1],"gives":[2],"the":[3,10],"sufficient":[4],"and":[5],"necessary":[6],"conditions":[7],"which":[8],"guarantee":[9],"existence":[11],"of":[12,41],"a":[13,19,25,39],"diffeomorphism":[14],"in":[15],"order":[16],"to":[17,38],"transform":[18],"nonlinear":[20],"system":[21],"without":[22],"inputs":[23],"into":[24],"canonical":[26],"normal":[27],"form":[28],"that":[29],"is":[30],"output":[31],"dependent.":[32],"Moreover,":[33],"we":[34],"extend":[35],"our":[36],"results":[37],"class":[40],"systems":[42],"with":[43],"inputs.":[44]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
