{"id":"https://openalex.org/W2170445418","doi":"https://doi.org/10.1109/cdc.2005.1583418","title":"Nonlinear observer design using invariant manifolds and applications","display_name":"Nonlinear observer design using invariant manifolds and applications","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2170445418","doi":"https://doi.org/10.1109/cdc.2005.1583418","mag":"2170445418"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583418","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583418","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5075862441","display_name":"Dimitrios Karagiannis","orcid":"https://orcid.org/0000-0003-3574-5160"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"D. Karagiannis","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"A. Astolfi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7775","last_page":"7780"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","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/T10040","display_name":"Adaptive Control of Nonlinear Systems","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":0.9987000226974487,"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":0.9980000257492065,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7209864258766174},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.6208645105361938},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5962207913398743},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.5529720783233643},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.5316942930221558},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5233701467514038},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5175597071647644},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5033506751060486},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5015575885772705},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4772469997406006},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4210028648376465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38792717456817627},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34876492619514465},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24827799201011658},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16616564989089966},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11660555005073547},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09470775723457336}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7209864258766174},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.6208645105361938},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5962207913398743},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.5529720783233643},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.5316942930221558},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5233701467514038},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5175597071647644},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5033506751060486},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5015575885772705},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4772469997406006},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4210028648376465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38792717456817627},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34876492619514465},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24827799201011658},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16616564989089966},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11660555005073547},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09470775723457336},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1583418","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583418","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1597527752","https://openalex.org/W1763243278","https://openalex.org/W1983104200","https://openalex.org/W1987623216","https://openalex.org/W1991655747","https://openalex.org/W1996193936","https://openalex.org/W2000505041","https://openalex.org/W2023116570","https://openalex.org/W2084566098","https://openalex.org/W2084941659","https://openalex.org/W2085978098","https://openalex.org/W2093352963","https://openalex.org/W2103668138","https://openalex.org/W2115852080","https://openalex.org/W2131920939","https://openalex.org/W2157035977","https://openalex.org/W2164961556","https://openalex.org/W2173487526","https://openalex.org/W2176198718","https://openalex.org/W4246721048"],"related_works":["https://openalex.org/W2352242069","https://openalex.org/W2016812753","https://openalex.org/W1991546168","https://openalex.org/W2150221341","https://openalex.org/W2113370059","https://openalex.org/W1491593166","https://openalex.org/W4289469086","https://openalex.org/W2000243506","https://openalex.org/W1967169555","https://openalex.org/W3044540700"],"abstract_inverted_index":{"The":[0,39],"problem":[1],"of":[2,19],"constructing":[3],"(reduced-order)":[4],"observers":[5],"for":[6],"general":[7],"nonlinear":[8],"systems":[9,45],"is":[10,13,42,56],"addressed.":[11],"It":[12],"shown":[14],"that":[15,46],"an":[16,29],"asymptotic":[17],"estimate":[18],"the":[20,35,52],"unknown":[21],"states":[22],"can":[23],"be":[24],"obtained":[25],"by":[26],"rendering":[27],"attractive":[28],"appropriately":[30],"selected":[31],"(invariant)":[32],"manifold":[33],"in":[34,51],"extended":[36],"state":[37],"space.":[38],"proposed":[40],"methodology":[41],"applicable":[43],"to":[44],"are":[47],"not":[48],"necessarily":[49],"linear":[50],"unmeasured":[53],"states.":[54],"This":[55],"illustrated":[57],"with":[58],"two":[59],"practical":[60],"examples:":[61],"a":[62,67],"single-machine":[63],"infinite-bus":[64],"system":[65],"and":[66],"perspective":[68],"vision":[69],"system.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}