{"id":"https://openalex.org/W2089738862","doi":"https://doi.org/10.2478/v10006-007-0042-z","title":"Estimation of the Output Deviation Norm for Uncertain, Discrete-Time Nonlinear Systems in a State Dependent Form","display_name":"Estimation of the Output Deviation Norm for Uncertain, Discrete-Time Nonlinear Systems in a State Dependent Form","publication_year":2007,"publication_date":"2007-12-01","ids":{"openalex":"https://openalex.org/W2089738862","doi":"https://doi.org/10.2478/v10006-007-0042-z","mag":"2089738862"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-007-0042-z","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0042-z","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0042-z","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-007-0042-z","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069899285","display_name":"Przemys\u0142aw Or\u0142owski","orcid":"https://orcid.org/0000-0001-6407-9668"},"institutions":[{"id":"https://openalex.org/I104588304","display_name":"University of Szczecin","ror":"https://ror.org/05vmz5070","country_code":"PL","type":"education","lineage":["https://openalex.org/I104588304"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Przemys\u0142aw Or\u0142owski","raw_affiliation_strings":["Institute of Control Engineering, Szczecin University of Technology ul. Sikorskiego 37, 70-313 Szczecin, Poland","Institute of Control Engineering, Szczecin University of Technology, ul. Sikorskiego 37, 70--313 Szczecin, Poland#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Control Engineering, Szczecin University of Technology ul. Sikorskiego 37, 70-313 Szczecin, Poland","institution_ids":["https://openalex.org/I104588304"]},{"raw_affiliation_string":"Institute of Control Engineering, Szczecin University of Technology, ul. Sikorskiego 37, 70--313 Szczecin, Poland#TAB#","institution_ids":["https://openalex.org/I104588304"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069899285"],"corresponding_institution_ids":["https://openalex.org/I104588304"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08898293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"4","first_page":"505","last_page":"513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10791","display_name":"Advanced Control Systems Optimization","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/T11236","display_name":"Control Systems and Identification","score":0.9958000183105469,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9955999851226807,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7478286027908325},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7433130741119385},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6758047342300415},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6308654546737671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5430478453636169},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5056416988372803},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4563508629798889},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4200298488140106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35656899213790894},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35462141036987305},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32847684621810913},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17816764116287231},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09527638554573059}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7478286027908325},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7433130741119385},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6758047342300415},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6308654546737671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5430478453636169},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5056416988372803},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4563508629798889},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4200298488140106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35656899213790894},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35462141036987305},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32847684621810913},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17816764116287231},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09527638554573059},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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":3,"locations":[{"id":"doi:10.2478/v10006-007-0042-z","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0042-z","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0042-z","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.3351","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.3351","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc17/amc1748.pdf","raw_type":"text"},{"id":"pmh:oai:zbc.uz.zgora.pl:78672","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78672","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=30","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-007-0042-z","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0042-z","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0042-z","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2089738862.pdf","grobid_xml":"https://content.openalex.org/works/W2089738862.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W80080310","https://openalex.org/W231187162","https://openalex.org/W1538467769","https://openalex.org/W1579118835","https://openalex.org/W1589842973","https://openalex.org/W1591990946","https://openalex.org/W1986739933","https://openalex.org/W1988423137","https://openalex.org/W2000317369","https://openalex.org/W2020516032","https://openalex.org/W2060810508","https://openalex.org/W2065313971","https://openalex.org/W2075828945","https://openalex.org/W2103516287","https://openalex.org/W2109640889","https://openalex.org/W2112991242","https://openalex.org/W2155670556","https://openalex.org/W2158613866","https://openalex.org/W2173912147","https://openalex.org/W2615018532","https://openalex.org/W2798534591","https://openalex.org/W3195133498"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W2387529410","https://openalex.org/W2039473718","https://openalex.org/W3023605104","https://openalex.org/W2101935134","https://openalex.org/W1980376593","https://openalex.org/W2784035149","https://openalex.org/W2151481036"],"abstract_inverted_index":{"Estimation":[0],"of":[1,18,28,38,50,66,75,82,103,107],"the":[2,19,26,32,39,48,56,67,73,83,93,104,108,122],"Output":[3],"Deviation":[4],"Norm":[5],"for":[6,46,59,88,100],"Uncertain,":[7],"Discrete-Time":[8],"Nonlinear":[9],"Systems":[10],"in":[11,92],"a":[12,44,133],"State":[13],"Dependent":[14],"Form":[15],"Numerical":[16],"evaluation":[17],"optimal":[20],"nonlinear":[21,60,89],"robust":[22,115],"control":[23,116],"requires":[24],"estimating":[25,47],"impact":[27],"parameter":[29],"uncertainties":[30],"on":[31,121],"system":[33,136],"output.":[34],"The":[35,64,79,98],"main":[36],"goal":[37],"paper":[40,84],"is":[41,118],"to":[42,71,114],"propose":[43],"method":[45,99],"norm":[49,106],"an":[51],"output":[52,109],"trajectory":[53,58,110],"deviation":[54,68,111],"from":[55],"nominal":[57],"uncertain,":[61],"discrete-time":[62],"systems.":[63],"measure":[65],"allows":[69],"us":[70],"evaluate":[72],"robustness":[74],"any":[76],"designed":[77],"controller.":[78],"first":[80],"part":[81],"concerns":[85],"uncertainty":[86,126],"modelling":[87],"systems":[90],"given":[91],"state":[94],"space":[95],"dependent":[96],"form.":[97],"numerical":[101],"estimation":[102],"maximal":[105],"with":[112,132],"applications":[113],"synthesis":[117],"proposed":[119],"based":[120],"introduced":[123],"three-term":[124],"additive":[125],"model.":[127],"Theoretical":[128],"deliberations":[129],"are":[130],"complemented":[131],"numerical,":[134],"water-tank":[135],"example.":[137]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}