{"id":"https://openalex.org/W2963885450","doi":"https://doi.org/10.1109/cdc.2013.6760548","title":"Explicit reduced-order integral formulations of state and parameter estimation problems for a class of nonlinear systems","display_name":"Explicit reduced-order integral formulations of state and parameter estimation problems for a class of nonlinear systems","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2963885450","doi":"https://doi.org/10.1109/cdc.2013.6760548","mag":"2963885450"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760548","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5052143104","display_name":"Ivan Tyukin","orcid":"https://orcid.org/0000-0002-7359-7966"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"I. Yu Tyukin","raw_affiliation_strings":["Department of Mathematics, University of Leicester, Leicester, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Leicester, Leicester, United Kingdom","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058069510","display_name":"Alexander N. Gorban","orcid":"https://orcid.org/0000-0001-6224-1430"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. N. Gorban","raw_affiliation_strings":["Department of Mathematics, University of Leicester, Leicester, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Leicester, Leicester, United Kingdom","institution_ids":["https://openalex.org/I153648349"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052143104"],"corresponding_institution_ids":["https://openalex.org/I153648349"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28962599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":null,"first_page":"4284","last_page":"4289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9943000078201294,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6921682953834534},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6586595773696899},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5457699298858643},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5385194420814514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5279359221458435},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.47720369696617126},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4539109170436859},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4525175094604492},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4293062388896942},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42446044087409973},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41078490018844604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40912535786628723},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3973486125469208},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37378251552581787},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3439958989620209},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18926531076431274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12823233008384705}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6921682953834534},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6586595773696899},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5457699298858643},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5385194420814514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5279359221458435},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.47720369696617126},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4539109170436859},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4525175094604492},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4293062388896942},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42446044087409973},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41078490018844604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40912535786628723},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3973486125469208},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37378251552581787},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3439958989620209},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18926531076431274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12823233008384705},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760548","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W258637618","https://openalex.org/W1966176969","https://openalex.org/W2023280546","https://openalex.org/W2038024531","https://openalex.org/W2046424015","https://openalex.org/W2057443155","https://openalex.org/W2069469544","https://openalex.org/W2070595746","https://openalex.org/W2075933120","https://openalex.org/W2091638547","https://openalex.org/W2100325486","https://openalex.org/W2113105229","https://openalex.org/W2119752411","https://openalex.org/W2125834060","https://openalex.org/W2161668745"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W4246352526","https://openalex.org/W2028665553","https://openalex.org/W4230315250","https://openalex.org/W2086519370","https://openalex.org/W2043671984"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,29,113],"technique":[3,26],"for":[4,28],"reformulation":[5],"of":[6,14,31,33,51,81,87,90,93,99,107,118],"state":[7],"and":[8,38,104],"parameter":[9],"estimation":[10],"problems":[11],"as":[12],"that":[13,67,86],"matching":[15],"explicitly":[16],"computable":[17],"definite":[18],"integrals":[19],"with":[20],"known":[21],"kernels":[22],"to":[23,41,48,78,85],"data.":[24],"The":[25,53],"applies":[27],"class":[30],"systems":[32],"nonlinear":[34],"ordinary":[35],"differential":[36],"equations":[37],"is":[39,55,72],"aimed":[40],"exploit":[42],"parallel":[43],"computational":[44],"streams":[45],"in":[46,68,120,122],"order":[47],"increase":[49],"speed":[50],"calculations.":[52],"idea":[54],"based":[56],"on":[57,112],"the":[58,70,82,88,91,96,100,108],"classical":[59],"adaptive":[60],"observers":[61],"design.":[62],"It":[63],"has":[64],"been":[65],"shown":[66],"case":[69],"data":[71],"periodic":[73],"it":[74],"may":[75],"be":[76],"possible":[77],"reduce":[79],"dimensionality":[80],"inference":[83],"problem":[84],"dimension":[89],"vector":[92],"parameters":[94],"entering":[95],"right-hand":[97],"side":[98],"model":[101,115],"nonlinearly.":[102],"Performance":[103],"practical":[105],"implications":[106],"method":[109],"are":[110],"illustrated":[111],"benchmark":[114],"governing":[116],"dynamics":[117],"voltage":[119],"generated":[121],"barnacle":[123],"giant":[124],"muscle.":[125]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
