{"id":"https://openalex.org/W2092991598","doi":"https://doi.org/10.1137/060675861","title":"Homogeneous Approximation, Recursive Observer Design, and Output Feedback","display_name":"Homogeneous Approximation, Recursive Observer Design, and Output Feedback","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2092991598","doi":"https://doi.org/10.1137/060675861","mag":"2092991598"},"language":"en","primary_location":{"id":"doi:10.1137/060675861","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060675861","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0903.0298","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Vincent Andrieu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vincent Andrieu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Laurent Praly","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laurent Praly","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Alessandro Astolfi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alessandro Astolfi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":33.0785,"has_fulltext":false,"cited_by_count":831,"citation_normalized_percentile":{"value":0.99660365,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"47","issue":"4","first_page":"1814","last_page":"1850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.21979999542236328,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.21979999542236328,"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":0.1704999953508377,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.16249999403953552,"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/homogeneous","display_name":"Homogeneous","score":0.6008999943733215},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5942000150680542},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5544999837875366},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.5429999828338623},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.35569998621940613},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3206000030040741}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7121000289916992},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6008999943733215},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5942000150680542},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5544999837875366},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.5429999828338623},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3206000030040741},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3012999892234802},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2964000105857849},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2667999863624573},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.25949999690055847}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/060675861","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060675861","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:arXiv.org:0903.0298","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.0298","pdf_url":"https://arxiv.org/pdf/0903.0298","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-00362707v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00362707","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2008, 47 (4), pp.1814-1850. &#x27E8;10.1137/060675861&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0903.0298","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.0298","pdf_url":"https://arxiv.org/pdf/0903.0298","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1966486423","https://openalex.org/W1967530463","https://openalex.org/W1988837728","https://openalex.org/W2026565374","https://openalex.org/W2026572362","https://openalex.org/W2033449675","https://openalex.org/W2036826525","https://openalex.org/W2037885940","https://openalex.org/W2056610028","https://openalex.org/W2068090013","https://openalex.org/W2080688746","https://openalex.org/W2091755184","https://openalex.org/W2104607520","https://openalex.org/W2124240834","https://openalex.org/W2125336652","https://openalex.org/W2146107296","https://openalex.org/W2151747037","https://openalex.org/W2154369072","https://openalex.org/W2154608673","https://openalex.org/W2156759262","https://openalex.org/W2164161975","https://openalex.org/W2176990431","https://openalex.org/W2323312180"],"related_works":["https://openalex.org/W2066051943","https://openalex.org/W2085760865","https://openalex.org/W4200410877","https://openalex.org/W2899355490","https://openalex.org/W96178029","https://openalex.org/W2120991070","https://openalex.org/W2948586519","https://openalex.org/W2110923665","https://openalex.org/W2109902676","https://openalex.org/W2106513552"],"abstract_inverted_index":{"We":[0],"introduce":[1],"two":[2,80],"new":[3,68,85],"tools":[4],"that":[5],"can":[6],"be":[7],"useful":[8],"in":[9,41,58],"nonlinear":[10],"observer":[11,70],"and":[12,37,53,95],"output":[13,91],"feedback":[14,92,94],"design.":[15],"The":[16,63],"first":[17],"one":[18],"is":[19,66],"a":[20,56,67,74,84],"simple":[21],"extension":[22],"of":[23,26,76],"the":[24,35,42,59],"notion":[25],"homogeneous":[27,57],"approximation":[28],"to":[29],"make":[30],"it":[31],"valid":[32],"both":[33],"at":[34,38],"origin":[36],"infinity":[39],"(homogeneity":[40],"bi-limit).":[43],"Exploiting":[44],"this":[45],"extension,":[46],"we":[47,82],"give":[48],"several":[49],"results":[50],"concerning":[51],"stability":[52],"robustness":[54],"for":[55,73,93],"bi-limit":[60],"vector":[61],"field.":[62],"second":[64],"tool":[65],"recursive":[69],"design":[71],"procedure":[72],"chain":[75],"integrator.":[77],"Combining":[78],"these":[79],"tools,":[81],"propose":[83],"global":[86],"asymptotic":[87],"stabilization":[88],"result":[89],"by":[90],"feedforward":[96],"systems.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":30},{"year":2025,"cited_by_count":83},{"year":2024,"cited_by_count":89},{"year":2023,"cited_by_count":84},{"year":2022,"cited_by_count":89},{"year":2021,"cited_by_count":72},{"year":2020,"cited_by_count":99},{"year":2019,"cited_by_count":63},{"year":2018,"cited_by_count":55},{"year":2017,"cited_by_count":47},{"year":2016,"cited_by_count":21},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":20},{"year":2013,"cited_by_count":16},{"year":2012,"cited_by_count":7}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2016-06-24T00:00:00"}
