{"id":"https://openalex.org/W2893920264","doi":"https://doi.org/10.14736/kyb-2018-4-0736","title":"Realization of nonlinear input-output equations in controller canonical form","display_name":"Realization of nonlinear input-output equations in controller canonical form","publication_year":2018,"publication_date":"2018-09-24","ids":{"openalex":"https://openalex.org/W2893920264","doi":"https://doi.org/10.14736/kyb-2018-4-0736","mag":"2893920264"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2018-4-0736","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2018-4-0736","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","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/A5064396373","display_name":"Arvo Kaldm\u00e4e","orcid":"https://orcid.org/0000-0002-6228-0541"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arvo Kaldm\u00e4e","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085233495","display_name":"\u00dclle Kotta","orcid":"https://orcid.org/0000-0002-7697-769X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u00dclle Kotta","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1873,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51073747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"736","last_page":"747"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.625,"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":0.625,"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/T11416","display_name":"Numerical methods for differential equations","score":0.598800003528595,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.855269193649292},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.7048431038856506},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.700566828250885},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6591798067092896},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4956172704696655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4805053472518921},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4490160346031189},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.395651251077652},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3463381230831146},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2750709652900696},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11264461278915405},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10898241400718689},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10450524091720581},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08594301342964172},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06521269679069519}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.855269193649292},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.7048431038856506},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.700566828250885},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6591798067092896},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4956172704696655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4805053472518921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4490160346031189},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.395651251077652},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3463381230831146},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2750709652900696},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11264461278915405},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10898241400718689},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10450524091720581},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08594301342964172},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06521269679069519},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2018-4-0736","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2018-4-0736","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/147421","is_oa":false,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/147421","pdf_url":null,"source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1506910057","https://openalex.org/W1766570678","https://openalex.org/W1978548754","https://openalex.org/W1980662086","https://openalex.org/W1985385104","https://openalex.org/W1994164061","https://openalex.org/W2001082287","https://openalex.org/W2002188635","https://openalex.org/W2013367798","https://openalex.org/W2069199696","https://openalex.org/W2074478805","https://openalex.org/W2145471101","https://openalex.org/W2155931771","https://openalex.org/W2238816216","https://openalex.org/W2340908359","https://openalex.org/W4239216443","https://openalex.org/W4247921403","https://openalex.org/W4294183731"],"related_works":["https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W2769996735","https://openalex.org/W2043523297","https://openalex.org/W2002780998","https://openalex.org/W1861487868","https://openalex.org/W119681136","https://openalex.org/W2049953734","https://openalex.org/W2000675896","https://openalex.org/W2102124899"],"abstract_inverted_index":{"summary:In":[0],"this":[1],"paper":[2],"necessary":[3,66],"and":[4,39],"sufficient":[5],"conditions":[6,44],"are":[7,33,45,76],"given":[8],"which":[9,78],"guarantee":[10],"that":[11],"there":[12],"exists":[13],"a":[14,17],"realization":[15],"of":[16,19,49,52,55],"set":[18],"nonlinear":[20,40],"higher":[21],"order":[22],"differential":[23,56],"input-output":[24],"equations":[25],"in":[26,47],"the":[27,64,69],"controller":[28],"canonical":[29],"form.":[30],"Two":[31],"cases":[32],"studied,":[34],"corresponding":[35],"respectively":[36],"to":[37,62,67],"linear":[38],"output":[41],"functions.":[42],"The":[43,58],"formulated":[46],"terms":[48],"certain":[50],"sequence":[51],"vector":[53],"spaces":[54],"1-forms.":[57],"proofs":[59],"suggest":[60],"how":[61],"construct":[63],"transformations,":[65],"obtain":[68],"specific":[70],"state":[71],"space":[72],"realizations.":[73],"Multiple":[74],"examples":[75],"added,":[77],"describe":[79],"different":[80],"scenarios.":[81]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}