{"id":"https://openalex.org/W2606505184","doi":"https://doi.org/10.1177/0142331217700244","title":"Direct stability-switching delays determination procedure with differential averaging","display_name":"Direct stability-switching delays determination procedure with differential averaging","publication_year":2017,"publication_date":"2017-04-19","ids":{"openalex":"https://openalex.org/W2606505184","doi":"https://doi.org/10.1177/0142331217700244","mag":"2606505184"},"language":"en","primary_location":{"id":"doi:10.1177/0142331217700244","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331217700244","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://publikace.k.utb.cz/bitstream/10563/1007963/1/Postprint_1007963.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071087259","display_name":"Libor Peka\u0159","orcid":"https://orcid.org/0000-0002-2401-5886"},"institutions":[{"id":"https://openalex.org/I165737746","display_name":"Tomas Bata University in Zl\u00edn","ror":"https://ror.org/04nayfw11","country_code":"CZ","type":"education","lineage":["https://openalex.org/I165737746"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Libor Peka\u0159","raw_affiliation_strings":["Tomas Bata University in Zl\u00edn, Zl\u00edn, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tomas Bata University in Zl\u00edn, Zl\u00edn, Czech Republic","institution_ids":["https://openalex.org/I165737746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102709967","display_name":"Roman Prokop","orcid":"https://orcid.org/0000-0003-4034-9605"},"institutions":[{"id":"https://openalex.org/I165737746","display_name":"Tomas Bata University in Zl\u00edn","ror":"https://ror.org/04nayfw11","country_code":"CZ","type":"education","lineage":["https://openalex.org/I165737746"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Roman Prokop","raw_affiliation_strings":["Tomas Bata University in Zl\u00edn, Zl\u00edn, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tomas Bata University in Zl\u00edn, Zl\u00edn, Czech Republic","institution_ids":["https://openalex.org/I165737746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071087259"],"corresponding_institution_ids":["https://openalex.org/I165737746"],"apc_list":null,"apc_paid":null,"fwci":0.8162,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.732876,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"40","issue":"7","first_page":"2217","last_page":"2226"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9957000017166138,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/control-theory","display_name":"Control theory (sociology)","score":0.6560598611831665},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5935211181640625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5310568809509277},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5236034989356995},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4874579906463623},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4630001187324524},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.45892930030822754},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4511619210243225},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.44909319281578064},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.4328671991825104},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4257197082042694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4170834422111511},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41426026821136475},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41236838698387146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3374292850494385},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10703369975090027}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6560598611831665},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5935211181640625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5310568809509277},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5236034989356995},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4874579906463623},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4630001187324524},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.45892930030822754},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4511619210243225},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.44909319281578064},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.4328671991825104},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4257197082042694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4170834422111511},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41426026821136475},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41236838698387146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3374292850494385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10703369975090027},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1177/0142331217700244","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331217700244","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"},{"id":"pmh:oai:publikace.k.utb.cz:10563/1007963","is_oa":true,"landing_page_url":"http://publikace.k.utb.cz/handle/10563/1007963","pdf_url":"https://publikace.k.utb.cz/bitstream/10563/1007963/1/Postprint_1007963.pdf","source":{"id":"https://openalex.org/S4306400350","display_name":"Repository of TBU publications (Univerzita Tomase Bati ze Zline)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165737746","host_organization_name":"Tomas Bata University in Zl\u00edn","host_organization_lineage":["https://openalex.org/I165737746"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:publikace.k.utb.cz:10563/1007963","is_oa":true,"landing_page_url":"http://publikace.k.utb.cz/handle/10563/1007963","pdf_url":"https://publikace.k.utb.cz/bitstream/10563/1007963/1/Postprint_1007963.pdf","source":{"id":"https://openalex.org/S4306400350","display_name":"Repository of TBU publications (Univerzita Tomase Bati ze Zline)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165737746","host_organization_name":"Tomas Bata University in Zl\u00edn","host_organization_lineage":["https://openalex.org/I165737746"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1888011912","display_name":null,"funder_award_id":"CZ.1.05/2.1.00/19.0376","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5820976629","display_name":null,"funder_award_id":"CZ.1.05/2.1.00/19.0376","funder_id":"https://openalex.org/F4320321005","funder_display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy"}],"funders":[{"id":"https://openalex.org/F4320321005","display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy","ror":"https://ror.org/037n8p820"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2606505184.pdf","grobid_xml":"https://content.openalex.org/works/W2606505184.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W619343555","https://openalex.org/W656797020","https://openalex.org/W1506119886","https://openalex.org/W1963719243","https://openalex.org/W1982267787","https://openalex.org/W1987233115","https://openalex.org/W1988098342","https://openalex.org/W1991874673","https://openalex.org/W2001238953","https://openalex.org/W2012150224","https://openalex.org/W2025113206","https://openalex.org/W2054534795","https://openalex.org/W2071545163","https://openalex.org/W2075056645","https://openalex.org/W2076634961","https://openalex.org/W2082083828","https://openalex.org/W2092848912","https://openalex.org/W2095424008","https://openalex.org/W2099381337","https://openalex.org/W2100649435","https://openalex.org/W2150645709","https://openalex.org/W2172321118","https://openalex.org/W2246436387","https://openalex.org/W2397635216","https://openalex.org/W2462157822","https://openalex.org/W2508009667","https://openalex.org/W2525143841","https://openalex.org/W2531875963","https://openalex.org/W4211202937","https://openalex.org/W4231563473","https://openalex.org/W4307731022"],"related_works":["https://openalex.org/W2291214609","https://openalex.org/W3183609115","https://openalex.org/W2985206855","https://openalex.org/W2387056800","https://openalex.org/W2389908107","https://openalex.org/W2108850688","https://openalex.org/W2354295809","https://openalex.org/W2532653122","https://openalex.org/W2359833404","https://openalex.org/W2378343395"],"abstract_inverted_index":{"In":[0,164],"this":[1,165],"paper,":[2,166],"a":[3,66,91,141,196,226],"direct":[4],"computational":[5],"method":[6,228],"for":[7,205,229],"the":[8,34,39,43,50,58,69,74,79,100,107,120,123,129,136,167,170,206,216,219,230],"searching":[9],"and":[10,29,78,115,169,188,221,236,249],"determination":[11],"of":[12,38,42,49,57,61,68,82,106,109,144,218,239],"stability":[13,70,145,232],"switching":[14,75,83,146,160],"delays":[15,84,152,161],"is":[16,21,31,72,149,180,200,203],"introduced.":[17],"The":[18,177],"primary":[19],"procedure":[20,179],"applicable":[22],"to":[23,128,241],"retarded":[24],"linear":[25,92,168],"time-invariant":[26],"time-delay":[27],"systems":[28,246],"it":[30,189],"based":[32],"on":[33],"iterative":[35],"(successive)":[36],"estimation":[37],"dominant":[40],"pole":[41,76,124],"infinite":[44],"system":[45],"spectrum":[46],"by":[47,183,251],"means":[48],"Taylor\u2019s":[51],"series":[52],"expansion":[53],"in":[54,99,122,132,175,212],"every":[55],"node":[56],"selected":[59],"grid":[60],"discrete":[62],"delay":[63,245],"values.":[64],"Whenever":[65],"crossing":[67],"border":[71],"detected,":[73],"loci":[77],"corresponding":[80],"set":[81,143],"are":[85,113,162,173,247],"further":[86],"enhanced.":[87],"To":[88],"perform":[89],"it,":[90],"Regula":[93],"Falsi":[94],"interpolation":[95],"has":[96],"been":[97],"used":[98],"original":[101],"version.":[102],"Here,":[103],"two":[104],"versions":[105],"use":[108],"root":[110],"tendency":[111,118],"property":[112],"applied":[114],"compared.":[116],"Root":[117],"expresses":[119],"change":[121,131],"position":[125],"with":[126,225,243],"respect":[127],"infinitesimal":[130],"delays;":[133],"that":[134,157],"is,":[135],"complex":[137],"valued":[138],"gradient.":[139],"Once":[140],"finite":[142],"delays\u2019":[147],"values":[148],"determined,":[150],"these":[151],"can":[153],"be":[154],"joined":[155],"so":[156],"infinitely":[158],"many":[159],"obtained.":[163],"quadratic":[171],"interpolations":[172],"compared":[174,224],"addition.":[176],"whole":[178],"simply":[181],"implementable":[182],"using":[184],"standard":[185],"software":[186],"tools":[187],"does":[190],"not":[191],"require":[192],"special":[193],"ones;":[194],"neither":[195],"deep":[197],"mathematical":[198],"knowledge":[199],"required,":[201],"which":[202],"favorable":[204],"practice.":[207],"A":[208],"numerical":[209],"example":[210,253],"performed":[211],"MATLAB/Simulink":[213],"environment":[214],"demonstrates":[215],"accuracy":[217],"algorithm":[220],"its":[222],"substrategies":[223],"well-established":[227],"delay-dependent":[231],"analysis.":[233],"Some":[234],"beneficial":[235],"worthwhile":[237],"ideas":[238],"how":[240],"cope":[242],"neutral":[244],"given":[248],"supported":[250],"an":[252],"as":[254],"well.":[255]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}