{"id":"https://openalex.org/W2146107296","doi":"https://doi.org/10.1109/tac.2004.831186","title":"Homogeneous Observers, Iterative Design, and Global Stabilization of High-Order Nonlinear Systems by Smooth Output Feedback","display_name":"Homogeneous Observers, Iterative Design, and Global Stabilization of High-Order Nonlinear Systems by Smooth Output Feedback","publication_year":2004,"publication_date":"2004-07-01","ids":{"openalex":"https://openalex.org/W2146107296","doi":"https://doi.org/10.1109/tac.2004.831186","mag":"2146107296"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2004.831186","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2004.831186","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic 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/A5035609834","display_name":"Bo Yang","orcid":"https://orcid.org/0000-0002-5137-0648"},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Yang","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH, USA","Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH, USA","institution_ids":["https://openalex.org/I58956616"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA","institution_ids":["https://openalex.org/I58956616"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100364628","display_name":"Wei Lin","orcid":"https://orcid.org/0000-0003-1718-3539"},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Lin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH, USA","Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH, USA","institution_ids":["https://openalex.org/I58956616"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA","institution_ids":["https://openalex.org/I58956616"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035609834"],"corresponding_institution_ids":["https://openalex.org/I58956616"],"apc_list":null,"apc_paid":null,"fwci":17.5343,"has_fulltext":false,"cited_by_count":226,"citation_normalized_percentile":{"value":0.99187456,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"49","issue":"7","first_page":"1069","last_page":"1080"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9934999942779541,"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":0.993399977684021,"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/control-theory","display_name":"Control theory (sociology)","score":0.8582638502120972},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.8249253630638123},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6993821859359741},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6743621826171875},{"id":"https://openalex.org/keywords/feedback-linearization","display_name":"Feedback linearization","score":0.5915967226028442},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.563837468624115},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5044792890548706},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.4955664873123169},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.48358553647994995},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.4716348350048065},{"id":"https://openalex.org/keywords/separation-principle","display_name":"Separation principle","score":0.4589690864086151},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.45714902877807617},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.4517669677734375},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4174426198005676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.402286171913147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39436107873916626},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3395518958568573},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2618406414985657},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1390611231327057}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8582638502120972},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8249253630638123},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6993821859359741},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6743621826171875},{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.5915967226028442},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.563837468624115},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5044792890548706},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.4955664873123169},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.48358553647994995},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4716348350048065},{"id":"https://openalex.org/C62431964","wikidata":"https://www.wikidata.org/wiki/Q2271572","display_name":"Separation principle","level":4,"score":0.4589690864086151},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.45714902877807617},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.4517669677734375},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4174426198005676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.402286171913147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39436107873916626},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3395518958568573},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2618406414985657},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1390611231327057},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2004.831186","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2004.831186","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W151838022","https://openalex.org/W1563079687","https://openalex.org/W1574639858","https://openalex.org/W1966486423","https://openalex.org/W2003232307","https://openalex.org/W2011725660","https://openalex.org/W2033008153","https://openalex.org/W2041598269","https://openalex.org/W2080688746","https://openalex.org/W2084566098","https://openalex.org/W2093352963","https://openalex.org/W2109036714","https://openalex.org/W2111075049","https://openalex.org/W2115852080","https://openalex.org/W2125336652","https://openalex.org/W2128708976","https://openalex.org/W2134066066","https://openalex.org/W2143810732","https://openalex.org/W2156759262","https://openalex.org/W2167175335","https://openalex.org/W2171245641","https://openalex.org/W2179220878","https://openalex.org/W2503338263","https://openalex.org/W3160954918","https://openalex.org/W4205940976","https://openalex.org/W4248550221","https://openalex.org/W4254127125"],"related_works":["https://openalex.org/W4229795303","https://openalex.org/W4300553158","https://openalex.org/W59754174","https://openalex.org/W164037915","https://openalex.org/W1969341801","https://openalex.org/W2385251419","https://openalex.org/W2135636864","https://openalex.org/W2029428524","https://openalex.org/W2018483167","https://openalex.org/W2110923665"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,35,45,55,62,80,97,103,111,131,147,169,175],"problem":[3],"of":[4,14,38,57,96,113,139,174],"global":[5,158],"stabilization":[6,134],"by":[7,70,108],"smooth":[8,46],"output":[9,28,132,159,177],"feedback,":[10],"for":[11,34],"a":[12,59,72,122,137],"class":[13,138],"n-dimensional":[15],"homogeneous":[16,40],"systems":[17],"whose":[18],"Jacobian":[19],"linearization":[20],"is":[21,32,51,65,91,106],"neither":[22],"controllable":[23],"nor":[24],"observable.":[25],"A":[26],"new":[27,66,123],"feedback":[29,48,133,160,178],"control":[30,49,179],"scheme":[31],"proposed":[33,148,176],"explicit":[36],"design":[37,64,89,117,149],"both":[39],"observers":[41],"and":[42,67,163,172],"controllers.":[43],"While":[44],"state":[47],"law":[50],"constructed":[52],"based":[53],"on":[54],"tool":[56],"adding":[58],"power":[60],"integrator,":[61],"observer":[63,81,100,104],"carried":[68],"out":[69],"developing":[71],"machinery,":[73],"which":[74,102],"makes":[75],"it":[76],"possible":[77],"to":[78,130,167],"assign":[79],"gains":[82],"one-by-one,":[83],"in":[84,101],"an":[85,127,152],"iterative":[86],"manner.":[87],"Such":[88],"philosophy":[90],"fundamentally":[92],"different":[93],"from":[94],"that":[95],"traditional":[98],"\"Luenberger\"":[99],"gain":[105],"determined":[107],"observability.":[109],"In":[110],"case":[112],"linear":[114],"systems,":[115,142],"our":[116],"method":[118],"provides":[119],"not":[120],"only":[121],"insight":[124],"but":[125],"also":[126],"alternative":[128],"solution":[129],"problem.":[135],"For":[136],"high-order":[140],"nonhomogeneous":[141],"we":[143],"further":[144],"show":[145],"how":[146],"method,":[150],"with":[151],"appropriate":[153],"modification,":[154],"can":[155],"still":[156],"achieve":[157],"stabilization.":[161],"Examples":[162],"simulations":[164],"are":[165],"given":[166],"demonstrate":[168],"main":[170],"features":[171],"effectiveness":[173],"schemes.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":26},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}