{"id":"https://openalex.org/W2134897072","doi":"https://doi.org/10.1109/tac.2009.2033860","title":"A Sufficient Condition for Invalidation of Linear State-Space Systems With Uncertain Time-Varying Parameters","display_name":"A Sufficient Condition for Invalidation of Linear State-Space Systems With Uncertain Time-Varying Parameters","publication_year":2009,"publication_date":"2009-11-20","ids":{"openalex":"https://openalex.org/W2134897072","doi":"https://doi.org/10.1109/tac.2009.2033860","mag":"2134897072"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2009.2033860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2033860","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/A5101640556","display_name":"Andreas Johansson","orcid":"https://orcid.org/0000-0001-8893-4809"},"institutions":[{"id":"https://openalex.org/I190632392","display_name":"Lule\u00e5 University of Technology","ror":"https://ror.org/016st3p78","country_code":"SE","type":"education","lineage":["https://openalex.org/I190632392"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"A. Johansson","raw_affiliation_strings":["Control Engineering Group, Lule\u00e5 University of Technology, Lulea, Sweden","Control Eng. Group, Lulea Univ. of Technol., Lulea, Sweden"],"affiliations":[{"raw_affiliation_string":"Control Engineering Group, Lule\u00e5 University of Technology, Lulea, Sweden","institution_ids":["https://openalex.org/I190632392"]},{"raw_affiliation_string":"Control Eng. Group, Lulea Univ. of Technol., Lulea, Sweden","institution_ids":["https://openalex.org/I190632392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101640556"],"corresponding_institution_ids":["https://openalex.org/I190632392"],"apc_list":null,"apc_paid":null,"fwci":6.8887,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.9653752,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"54","issue":"12","first_page":"2915","last_page":"2920"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control 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/T10876","display_name":"Fault Detection and Control 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/T11236","display_name":"Control Systems and Identification","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":0.9995999932289124,"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":0.5824070572853088},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5739892721176147},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5411748886108398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4934329092502594},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.49069225788116455},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4644603133201599},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4550924301147461},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.43758082389831543},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.4322241544723511},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4207571744918823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32923269271850586},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16043782234191895},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15641570091247559},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08301150798797607}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5824070572853088},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5739892721176147},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5411748886108398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4934329092502594},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.49069225788116455},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4644603133201599},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4550924301147461},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.43758082389831543},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.4322241544723511},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4207571744918823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32923269271850586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16043782234191895},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15641570091247559},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08301150798797607},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2009.2033860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2033860","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W64115398","https://openalex.org/W1529234935","https://openalex.org/W1988050743","https://openalex.org/W1992856977","https://openalex.org/W2010420030","https://openalex.org/W2018495611","https://openalex.org/W2052227990","https://openalex.org/W2060843293","https://openalex.org/W2095457418","https://openalex.org/W2125467873","https://openalex.org/W2130372047","https://openalex.org/W2142426382","https://openalex.org/W2151151433","https://openalex.org/W2155076415","https://openalex.org/W2159313411","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W2978861416","https://openalex.org/W3038830718","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2046314839","https://openalex.org/W2037008369","https://openalex.org/W3125388252","https://openalex.org/W652901797","https://openalex.org/W2083813704","https://openalex.org/W2093585199","https://openalex.org/W4311227613","https://openalex.org/W2087686193","https://openalex.org/W2068084037","https://openalex.org/W4282839256"],"abstract_inverted_index":{"The":[0,16],"model":[1,72,105],"validation":[2,106],"problem":[3],"for":[4,41,67,86],"linear":[5,77],"systems":[6],"with":[7,113],"time-varying":[8],"parameter":[9],"uncertainty":[10],"and":[11,35],"additive":[12],"disturbances":[13],"is":[14,25,36,54,73,90,95,108],"addressed.":[15],"disturbance":[17],"are":[18],"modelled":[19],"using":[20],"the":[21,29,47,58,87,104],"window":[22],"norm,":[23],"which":[24],"a":[26,64,70,76],"generalization":[27],"of":[28,46,69],"l":[30],"<sub":[31],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u00bf</sub>":[33],"-norm":[34],"shown":[37],"to":[38,52,101,110],"be":[39],"attractive":[40],"optimal":[42],"control.":[43],"An":[44,92],"approximation":[45,88],"nonlinear":[48],"operator":[49],"from":[50],"parameters":[51],"output":[53],"found":[55],"based":[56],"on":[57],"Frechet":[59],"derivative.":[60],"Using":[61],"this":[62,81],"approximation,":[63],"sufficient":[65],"condition":[66],"invalidation":[68],"process":[71],"formulated":[74],"as":[75,97],"feasibility":[78],"problem.":[79],"In":[80],"condition,":[82],"an":[83,98],"upper":[84],"bound":[85],"error":[89],"included.":[91],"overhead":[93],"crane":[94],"used":[96],"illustrative":[99],"example":[100],"show":[102],"that":[103],"test":[107],"realistic":[109],"perform":[111],"even":[112],"large":[114],"data":[115],"sets.":[116]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}