{"id":"https://openalex.org/W2029144431","doi":"https://doi.org/10.1137/s0363012900375330","title":"Nonlinear Observer Design in the Siegel Domain","display_name":"Nonlinear Observer Design in the Siegel Domain","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2029144431","doi":"https://doi.org/10.1137/s0363012900375330","mag":"2029144431"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012900375330","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012900375330","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022121143","display_name":"Arthur J. Krener","orcid":"https://orcid.org/0000-0002-5137-3726"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arthur J. Krener","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008007155","display_name":"Mingqing Xiao","orcid":"https://orcid.org/0000-0003-3241-4112"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"MingQing Xiao","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":19.0972,"has_fulltext":false,"cited_by_count":171,"citation_normalized_percentile":{"value":0.99549915,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"41","issue":"3","first_page":"932","last_page":"953"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8927968740463257},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.748894989490509},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6480303406715393},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6304818391799927},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6012657284736633},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5040134787559509},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.49665671586990356},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4664299786090851},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4476475119590759},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43328210711479187},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41807126998901367}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8927968740463257},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.748894989490509},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6480303406715393},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6304818391799927},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6012657284736633},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5040134787559509},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.49665671586990356},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4664299786090851},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4476475119590759},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43328210711479187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41807126998901367},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012900375330","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012900375330","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W85287489","https://openalex.org/W1987623216","https://openalex.org/W2012442808","https://openalex.org/W2040298299","https://openalex.org/W2093352963","https://openalex.org/W2128949314","https://openalex.org/W2173487526","https://openalex.org/W2269625376","https://openalex.org/W3021722416","https://openalex.org/W4212960264","https://openalex.org/W4249041381"],"related_works":["https://openalex.org/W2222154592","https://openalex.org/W2963758470","https://openalex.org/W2360735497","https://openalex.org/W2367362213","https://openalex.org/W2078245834","https://openalex.org/W2017974497","https://openalex.org/W2466416443","https://openalex.org/W1604366890","https://openalex.org/W1994018465","https://openalex.org/W2984785438"],"abstract_inverted_index":{"We":[0],"extend":[1],"the":[2,16,44,62,69,74],"method":[3,30,95],"of":[4,18,25,46,57,73],"Kazantzis":[5],"and":[6,71,81,92],"Kravaris":[7],"[Systems":[8],"Control":[9],"Lett.,":[10],"34":[11],"(1998),":[12],"pp.":[13],"241--247]":[14],"for":[15,96],"design":[17],"an":[19],"observer":[20],"to":[21,33],"a":[22,47,55,94],"larger":[23],"class":[24],"nonlinear":[26,38,50],"systems.":[27],"The":[28,88],"extended":[29],"is":[31,41,76,90],"applicable":[32],"any":[34],"real":[35],"analytic":[36],"observable":[37],"system.":[39],"It":[40],"based":[42],"on":[43],"solution":[45,53,75],"first-order,":[48],"singular,":[49],"PDE.":[51],"This":[52],"yields":[54,93],"change":[56],"state":[58],"coordinates":[59],"which":[60],"linearizes":[61],"error":[63],"dynamics.":[64],"Under":[65],"very":[66],"general":[67],"conditions,":[68],"existence":[70],"uniqueness":[72],"proved.":[77],"Lyapunov's":[78],"auxiliary":[79],"theorem":[80,83],"Siegel's":[82],"are":[84],"obtained":[85],"as":[86],"corollaries.":[87],"technique":[89],"constructive":[91],"constructing":[97],"approximate":[98],"solutions.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}