{"id":"https://openalex.org/W1973444667","doi":"https://doi.org/10.1080/00207170701559199","title":"Constructive algorithm for system immersion into non-linear observer form","display_name":"Constructive algorithm for system immersion into non-linear observer form","publication_year":2007,"publication_date":"2007-11-16","ids":{"openalex":"https://openalex.org/W1973444667","doi":"https://doi.org/10.1080/00207170701559199","mag":"1973444667"},"language":"en","primary_location":{"id":"doi:10.1080/00207170701559199","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701559199","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5062205470","display_name":"Juhoon Back","orcid":"https://orcid.org/0000-0002-6789-3718"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"J. Back","raw_affiliation_strings":["Department of Mechanical Engineering , Korea University , Anam-Dong, Seongbuk-Gu, Seoul, Korea 136-701"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , Korea University , Anam-Dong, Seongbuk-Gu, Seoul, Korea 136-701","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021068009","display_name":"Je Hoon Seo","orcid":"https://orcid.org/0000-0002-5017-5525"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"J. H. Seo","raw_affiliation_strings":["School of Electrical Engineering and Computer Science , Seoul National University , San 56-1, Shinlim-Dong, Kwanak-Gu, Seoul, Korea 151-744"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science , Seoul National University , San 56-1, Shinlim-Dong, Kwanak-Gu, Seoul, Korea 151-744","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062205470"],"corresponding_institution_ids":["https://openalex.org/I197347611"],"apc_list":null,"apc_paid":null,"fwci":0.8709,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78991921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"81","issue":"2","first_page":"317","last_page":"331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.7506455183029175},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6565436720848083},{"id":"https://openalex.org/keywords/immersion","display_name":"Immersion (mathematics)","score":0.653577446937561},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.597025454044342},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5760678648948669},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5583575367927551},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4589669704437256},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42210352420806885},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.4219821095466614},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35890519618988037},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34408414363861084},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2934918999671936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1750403642654419}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7506455183029175},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6565436720848083},{"id":"https://openalex.org/C199068039","wikidata":"https://www.wikidata.org/wiki/Q574523","display_name":"Immersion (mathematics)","level":2,"score":0.653577446937561},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.597025454044342},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5760678648948669},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5583575367927551},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4589669704437256},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42210352420806885},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4219821095466614},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35890519618988037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34408414363861084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2934918999671936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1750403642654419},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207170701559199","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701559199","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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":27,"referenced_works":["https://openalex.org/W1911466664","https://openalex.org/W1975670275","https://openalex.org/W1987623216","https://openalex.org/W2004599510","https://openalex.org/W2006785101","https://openalex.org/W2013384158","https://openalex.org/W2029144431","https://openalex.org/W2040298299","https://openalex.org/W2042488240","https://openalex.org/W2047315060","https://openalex.org/W2047333507","https://openalex.org/W2075481417","https://openalex.org/W2088549867","https://openalex.org/W2093352963","https://openalex.org/W2097419103","https://openalex.org/W2103536212","https://openalex.org/W2115248930","https://openalex.org/W2115406985","https://openalex.org/W2123348880","https://openalex.org/W2168467148","https://openalex.org/W2173487526","https://openalex.org/W2181518697","https://openalex.org/W2540877599","https://openalex.org/W2614225252","https://openalex.org/W2616647868","https://openalex.org/W3160954918","https://openalex.org/W4292872153"],"related_works":["https://openalex.org/W4386794506","https://openalex.org/W2962984814","https://openalex.org/W4293508317","https://openalex.org/W3104281043","https://openalex.org/W2075372083","https://openalex.org/W2462155254","https://openalex.org/W1994680671","https://openalex.org/W4212817163","https://openalex.org/W2044444031","https://openalex.org/W2123024628"],"abstract_inverted_index":{"There":[0],"exists":[1],"a":[2,12,31,45,127],"class":[3,38],"of":[4,39,114,149],"non-linear":[5,13,34],"systems":[6,40],"which":[7,104],"cannot":[8],"be":[9,28,42],"transformed":[10],"into":[11,30,63],"observer":[14,35,68],"form":[15],"(an":[16],"observable":[17],"linear":[18],"system":[19,53,58],"up":[20],"to":[21,122],"output":[22,94],"injection)":[23],"via":[24],"diffeomorphism,":[25],"but":[26],"can":[27,41,135],"immersed":[29],"higher":[32],"dimensional":[33,57,67],"form.":[36],"This":[37],"characterized":[43],"by":[44],"differential":[46],"equation":[47,72],"called":[48],"characteristic":[49,71,116],"equation.":[50],"If":[51],"the":[52,70,87,93,106,111,115,124,132,137,150],"is":[54,61,144],"an":[55,120],"n":[56,64,74,81],"and":[59,90],"it":[60],"immersible":[62],"+":[65,75,77,82],"m":[66,76,83],"form,":[69],"involves":[73],"1":[78],"unknowns":[79,84,102],"where":[80],"are":[85],"for":[86,92],"state":[88],"immersion":[89],"one":[91,98,134,142],"transformation.":[95],"In":[96],"general,":[97],"should":[99],"solve":[100],"these":[101],"simultaneously":[103],"makes":[105],"characterization":[107],"difficult.":[108],"After":[109],"investigating":[110],"algebraic":[112],"structure":[113],"equation,":[117],"we":[118],"present":[119],"algorithm":[121],"check":[123,136],"immersibility":[125,138],"under":[126],"constant":[128],"rank":[129],"assumption.":[130],"Using":[131],"algorithm,":[133],"iteratively":[139],"since":[140],"only":[141],"unknown":[143],"involved":[145],"at":[146],"each":[147],"step":[148],"algorithm.":[151]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
