{"id":"https://openalex.org/W1582813080","doi":"https://doi.org/10.1109/cacsd.2010.5612679","title":"Nonlinear observer design using Lyapunov functions and SOS techniques","display_name":"Nonlinear observer design using Lyapunov functions and SOS techniques","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W1582813080","doi":"https://doi.org/10.1109/cacsd.2010.5612679","mag":"1582813080"},"language":"en","primary_location":{"id":"doi:10.1109/cacsd.2010.5612679","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612679","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","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/A5017394645","display_name":"Christian Selbach","orcid":"https://orcid.org/0000-0002-7777-6515"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Selbach","raw_affiliation_strings":["Faculty of Electrical, Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","Faculty of Electrical, Information and Media Engineering, University of Wuppertal, 42119, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering, University of Wuppertal, 42119, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088168487","display_name":"Bernd Tibken","orcid":"https://orcid.org/0000-0002-4639-1487"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Tibken","raw_affiliation_strings":["Faculty of Electrical, Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","Faculty of Electrical, Information and Media Engineering, University of Wuppertal, 42119, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering, University of Wuppertal, 42119, Germany","institution_ids":["https://openalex.org/I167360494"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I167360494"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0431708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":null,"first_page":"1987","last_page":"1992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9977999925613403,"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":0.996999979019165,"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":0.6898408532142639},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6546239852905273},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.6286197900772095},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6077131628990173},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5811143517494202},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5674640536308289},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.534029483795166},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.50588458776474},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4763912558555603},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4411444067955017},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4374946653842926},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3973367512226105},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.38543635606765747},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35749348998069763},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14342713356018066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14272266626358032}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6898408532142639},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6546239852905273},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.6286197900772095},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6077131628990173},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5811143517494202},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5674640536308289},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.534029483795166},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.50588458776474},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4763912558555603},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4411444067955017},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4374946653842926},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3973367512226105},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.38543635606765747},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35749348998069763},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14342713356018066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14272266626358032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cacsd.2010.5612679","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612679","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W126279018","https://openalex.org/W1513515943","https://openalex.org/W1887006513","https://openalex.org/W1964962380","https://openalex.org/W1965735858","https://openalex.org/W2003232014","https://openalex.org/W2008670666","https://openalex.org/W2058161225","https://openalex.org/W2061011338","https://openalex.org/W2068728923","https://openalex.org/W2076558707","https://openalex.org/W2093352963","https://openalex.org/W2100772017","https://openalex.org/W2115248930","https://openalex.org/W2159317749","https://openalex.org/W2161903498","https://openalex.org/W6605086722","https://openalex.org/W6675508756"],"related_works":["https://openalex.org/W2020788389","https://openalex.org/W2524522145","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W2089102366","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W2347536774","https://openalex.org/W1996579463"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"an":[3,62,113],"observer":[4],"for":[5,40,112],"a":[6,13,29,51,86],"polynomial":[7],"nonlinear":[8],"(nonautonomous)":[9],"system":[10],"constrained":[11],"to":[12,37],"bounded":[14],"subset":[15],"of":[16,28,53,67,73,85,107],"the":[17,26,45,83],"state":[18,43],"space":[19],"is":[20,35,48,59,110],"considered.":[21],"The":[22,57,71,105],"presented":[23],"approach":[24,109],"allows":[25],"construction":[27],"locally":[30],"asymptotically":[31],"stable":[32,39],"observer,":[33],"which":[34,81],"guaranteed":[36],"be":[38,97],"any":[41],"possible":[42],"within":[44],"limits.":[46],"It":[47,95],"based":[49],"on":[50],"theorem":[52],"Jacobi":[54],"and":[55,100],"Prestel.":[56],"problem":[58,64,89],"rewritten":[60],"as":[61,78],"optimization":[63,88],"using":[65],"sum":[66],"squares":[68],"(SOS)":[69],"polynomials.":[70],"coefficients":[72],"these":[74],"polynomials":[75],"are":[76],"interpreted":[77],"decision":[79],"variables":[80],"form":[82],"basis":[84],"convex":[87],"with":[90,102],"linear":[91],"matrix":[92],"inequalities":[93],"(LMIs).":[94],"can":[96],"easily":[98],"implemented":[99],"solved":[101],"available":[103],"software.":[104],"applicability":[106],"our":[108],"shown":[111],"example.":[114]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
