{"id":"https://openalex.org/W2170364269","doi":"https://doi.org/10.1109/cdc.2011.6161268","title":"Contraction and observer design on cones","display_name":"Contraction and observer design on cones","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2170364269","doi":"https://doi.org/10.1109/cdc.2011.6161268","mag":"2170364269"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161268","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037120106","display_name":"Silv\u00e8re Bonnabel","orcid":"https://orcid.org/0000-0002-6001-7766"},"institutions":[{"id":"https://openalex.org/I4403386650","display_name":"Centre de Robotique","ror":"https://ror.org/0180r7w69","country_code":null,"type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4403386650","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Silvere Bonnabel","raw_affiliation_strings":["Centre de Robotique, Mines Paris-Technology, Paris, France"],"affiliations":[{"raw_affiliation_string":"Centre de Robotique, Mines Paris-Technology, Paris, France","institution_ids":["https://openalex.org/I70768539","https://openalex.org/I4403386650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Alessandro Astolfi","raw_affiliation_strings":["DISP, University of Roma Tor Vergata, Rome, Italy","Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"DISP, University of Roma Tor Vergata, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067642477","display_name":"Rodolphe Sepulchre","orcid":"https://orcid.org/0000-0002-7047-3124"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Rodolphe Sepulchre","raw_affiliation_strings":["Department of Electrical and Computer Engineering (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium","institution_ids":["https://openalex.org/I157674565"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037120106"],"corresponding_institution_ids":["https://openalex.org/I4403386650","https://openalex.org/I70768539"],"apc_list":null,"apc_paid":null,"fwci":7.2233,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.96924938,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"7147","last_page":"7151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9994000196456909,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9994000196456909,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9991999864578247,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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"}}],"keywords":[{"id":"https://openalex.org/keywords/orthant","display_name":"Orthant","score":0.9278236627578735},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.7663209438323975},{"id":"https://openalex.org/keywords/positive-systems","display_name":"Positive systems","score":0.7271194458007812},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6543744206428528},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6009581685066223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5880230069160461},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5398176908493042},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5308752059936523},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5020525455474854},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.42356327176094055},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.4137059152126312},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3500072956085205},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.2222026288509369},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19293361902236938},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10267138481140137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10111621022224426},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0777161717414856}],"concepts":[{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.9278236627578735},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.7663209438323975},{"id":"https://openalex.org/C2778299942","wikidata":"https://www.wikidata.org/wiki/Q7233296","display_name":"Positive systems","level":3,"score":0.7271194458007812},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6543744206428528},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6009581685066223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5880230069160461},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5398176908493042},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5308752059936523},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5020525455474854},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.42356327176094055},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.4137059152126312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3500072956085205},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2222026288509369},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19293361902236938},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10267138481140137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10111621022224426},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0777161717414856},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2011.6161268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161268","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:generic.eprints.org:577469","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/577469/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W125550804","https://openalex.org/W1484417697","https://openalex.org/W1534430411","https://openalex.org/W1851248039","https://openalex.org/W1965191890","https://openalex.org/W1991579213","https://openalex.org/W2082042541","https://openalex.org/W2094014274","https://openalex.org/W2101037112","https://openalex.org/W2119455667","https://openalex.org/W2134889984","https://openalex.org/W2136517446","https://openalex.org/W2160019513","https://openalex.org/W3104122060","https://openalex.org/W3105696575","https://openalex.org/W4235143360","https://openalex.org/W6629049951"],"related_works":["https://openalex.org/W2220253973","https://openalex.org/W1905581482","https://openalex.org/W1987762056","https://openalex.org/W4225000271","https://openalex.org/W167979754","https://openalex.org/W2991666192","https://openalex.org/W3203676140","https://openalex.org/W2000898041","https://openalex.org/W2071210172","https://openalex.org/W2131032422"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,23,32,35,49,56],"problem":[3],"of":[4,34,58],"positive":[5,9,43,50,53,59],"observer":[6],"design":[7,19],"for":[8,45],"systems":[10,46],"defined":[11,47],"on":[12,22,55,65],"solid":[13],"cones":[14],"in":[15,31,48],"Banach":[16],"spaces.":[17],"The":[18],"is":[20],"based":[21],"Hilbert":[24],"metric":[25],"and":[26,52],"convergence":[27],"properties":[28],"are":[29,41],"analyzed":[30],"light":[33],"Birkhoff":[36],"theorem.":[37],"Two":[38],"main":[39],"applications":[40],"discussed:":[42],"observers":[44,54],"orthant,":[51],"cone":[57],"semi-definite":[60],"matrices":[61],"with":[62],"a":[63],"view":[64],"quantum":[66],"systems.":[67]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"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":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}