{"id":"https://openalex.org/W2164109221","doi":"https://doi.org/10.1109/tac.2014.2365687","title":"Weight and Time Recursions in Dynamic State Estimation Problem With Mixed-Norm Cost Function","display_name":"Weight and Time Recursions in Dynamic State Estimation Problem With Mixed-Norm Cost Function","publication_year":2014,"publication_date":"2014-10-29","ids":{"openalex":"https://openalex.org/W2164109221","doi":"https://doi.org/10.1109/tac.2014.2365687","mag":"2164109221"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2365687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2365687","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/A5110649836","display_name":"Pavel \u0410. Akimov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Pavel Akimov","raw_affiliation_strings":["Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072428289","display_name":"A. I. Matasov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Matasov","raw_affiliation_strings":["Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":1.2089,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83649397,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"60","issue":"4","first_page":"1050","last_page":"1063"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9987000226974487,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6095223426818848},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5945668816566467},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5855990648269653},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5372983813285828},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5089502334594727},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5082597136497498},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.45156481862068176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4462769627571106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4399837255477905},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43506523966789246},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37762561440467834},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08958777785301208},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06617149710655212}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6095223426818848},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5945668816566467},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5855990648269653},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5372983813285828},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5089502334594727},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5082597136497498},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.45156481862068176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4462769627571106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4399837255477905},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43506523966789246},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37762561440467834},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08958777785301208},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06617149710655212},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical 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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2365687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2365687","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":[{"id":"https://openalex.org/G7975922581","display_name":null,"funder_award_id":"11-08-00004a","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W40545024","https://openalex.org/W578614108","https://openalex.org/W592904438","https://openalex.org/W633772442","https://openalex.org/W659236553","https://openalex.org/W1584691878","https://openalex.org/W1640725612","https://openalex.org/W1653619892","https://openalex.org/W1707525447","https://openalex.org/W1965150957","https://openalex.org/W1982975329","https://openalex.org/W1997017524","https://openalex.org/W1998999283","https://openalex.org/W2012739313","https://openalex.org/W2019162816","https://openalex.org/W2029460515","https://openalex.org/W2033563514","https://openalex.org/W2038454609","https://openalex.org/W2045079045","https://openalex.org/W2054077806","https://openalex.org/W2065742895","https://openalex.org/W2068861059","https://openalex.org/W2084650738","https://openalex.org/W2089700840","https://openalex.org/W2101986122","https://openalex.org/W2103450980","https://openalex.org/W2112009428","https://openalex.org/W2135046866","https://openalex.org/W2137547873","https://openalex.org/W2138500679","https://openalex.org/W2142474014","https://openalex.org/W2146000945","https://openalex.org/W2161669108","https://openalex.org/W2164278908","https://openalex.org/W2172103920","https://openalex.org/W2296319761","https://openalex.org/W2339133824","https://openalex.org/W2798500587","https://openalex.org/W3103789403","https://openalex.org/W4236400251","https://openalex.org/W4250589301","https://openalex.org/W4292363360","https://openalex.org/W4298563212","https://openalex.org/W6601623556","https://openalex.org/W6653672867","https://openalex.org/W6657774730"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2125114371","https://openalex.org/W2019977573","https://openalex.org/W2149980199","https://openalex.org/W3169007055","https://openalex.org/W1854082044"],"abstract_inverted_index":{"The":[0,40],"mixed-norm":[1,83],"cost":[2],"functions":[3],"arise":[4],"in":[5,37,112,124],"many":[6],"applied":[7],"optimization":[8],"problems.":[9],"As":[10],"an":[11],"important":[12],"example,":[13],"we":[14],"consider":[15],"the":[16,62,65,70,73,79,82,103,109,113,125,140,151],"state":[17,33,114],"estimation":[18,41,88],"problem":[19,42],"for":[20,136],"a":[21,26,85,129],"linear":[22],"dynamic":[23,86],"system":[24],"under":[25],"nonclassical":[27],"assumption":[28],"that":[29],"some":[30,118],"entries":[31],"of":[32,47,64,72,81,128,132,139,145,153],"vector":[34,115],"admit":[35],"jumps":[36,111],"their":[38],"trajectories.":[39],"is":[43,90,94],"solved":[44],"by":[45],"means":[46],"mixed":[48],"l":[49],"<sub":[50,54],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51,55],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[52],"/l":[53],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[56],"-norm":[57],"approximation.":[58],"This":[59,92],"approach":[60],"combines":[61],"advantages":[63,119],"well-known":[66],"quadratic":[67],"smoothing":[68],"and":[69,98,101,116],"robustness":[71],"least":[74],"absolute":[75],"deviations":[76],"method.":[77],"For":[78],"implementation":[80],"approximation,":[84],"iterative":[87],"algorithm":[89,93,141],"proposed.":[91],"based":[95],"on":[96],"weight":[97],"time":[99],"recursions":[100],"demonstrates":[102],"high":[104],"efficiency.":[105],"It":[106],"well":[107],"identifies":[108],"rare":[110],"has":[117],"over":[120],"more":[121],"customary":[122],"methods":[123],"typical":[126],"case":[127],"large":[130],"amount":[131],"measurements.":[133],"Nonoptimality":[134],"levels":[135,147],"current":[137],"iterations":[138],"are":[142],"constructed.":[143],"Computation":[144],"these":[146],"allows":[148],"to":[149],"check":[150],"accuracy":[152],"iterations.":[154]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}