{"id":"https://openalex.org/W1992560302","doi":"https://doi.org/10.1109/cdc.2013.6760407","title":"Stability and robustness of discrete linear repetitive processes in the finite frequency domain using the KYP lemma","display_name":"Stability and robustness of discrete linear repetitive processes in the finite frequency domain using the KYP lemma","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W1992560302","doi":"https://doi.org/10.1109/cdc.2013.6760407","mag":"1992560302"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5017767595","display_name":"Wojciech Paszke","orcid":"https://orcid.org/0000-0001-5060-0993"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wojciech Paszke","raw_affiliation_strings":["Institute of Control and Computation Engineering, University of Zielona G\u00f3ra ul, Zielona G\u00f3ra, Poland","Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Gora, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, University of Zielona G\u00f3ra ul, Zielona G\u00f3ra, Poland","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Gora, Poland","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015555379","display_name":"Pawe\u0142 D\u0105bkowski","orcid":"https://orcid.org/0000-0003-2751-8486"},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawel Dabkowski","raw_affiliation_strings":["Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, ul, Torun, Poland","Inst. of Phys., Nicolaus Copernicus Univ., Torun\u0301, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, ul, Torun, Poland","institution_ids":["https://openalex.org/I3019271933"]},{"raw_affiliation_string":"Inst. of Phys., Nicolaus Copernicus Univ., Torun\u0301, Poland","institution_ids":["https://openalex.org/I3019271933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081788754","display_name":"Eric Rogers","orcid":"https://orcid.org/0000-0003-0179-9398"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Eric Rogers","raw_affiliation_strings":["Electronics and Computer Science, University of Southampton, Southampton, UK","Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronics and Computer Science, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066492464","display_name":"Krzysztof Ga\u0142kowski","orcid":"https://orcid.org/0000-0003-4470-2162"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Galkowski","raw_affiliation_strings":["Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Gora, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Gora, Poland","institution_ids":["https://openalex.org/I46305939"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"349","issue":null,"first_page":"3421","last_page":"3426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","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"}},"topics":[{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9986000061035156,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9939000010490417,"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/lemma","display_name":"Lemma (botany)","score":0.8182872533798218},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6764063835144043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6125828623771667},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.6061747670173645},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5182607173919678},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4717460572719574},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.45910170674324036},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.43798828125},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.42772817611694336},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40716373920440674},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.30180275440216064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2647567391395569},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22840449213981628}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.8182872533798218},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6764063835144043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6125828623771667},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6061747670173645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5182607173919678},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4717460572719574},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.45910170674324036},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.43798828125},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.42772817611694336},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40716373920440674},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.30180275440216064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2647567391395569},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22840449213981628},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"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/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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W130632564","https://openalex.org/W2015715284","https://openalex.org/W2030104932","https://openalex.org/W2039867272","https://openalex.org/W2051222277","https://openalex.org/W2055319245","https://openalex.org/W2099435236","https://openalex.org/W2108489060","https://openalex.org/W2118401091","https://openalex.org/W2138964281","https://openalex.org/W6658052942"],"related_works":["https://openalex.org/W2102789413","https://openalex.org/W2096467061","https://openalex.org/W2734959863","https://openalex.org/W2940603871","https://openalex.org/W1532287630","https://openalex.org/W2028331352","https://openalex.org/W2052500721","https://openalex.org/W2082296130","https://openalex.org/W4299508867","https://openalex.org/W4226214462"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,55,58],"new":[4,35],"set":[5,59],"of":[6,12,19,23,40,54,60,73,77],"conditions":[7,36],"for":[8,51],"strong":[9],"practical":[10],"stability":[11,47],"linear":[13,61],"discrete":[14],"repetitive":[15],"processes":[16],"through":[17],"use":[18],"the":[20,24,38,52,71,78],"generalized":[21],"version":[22],"Kalman-Yakubovich-Popov":[25],"Lemma,":[26],"with":[27,32],"an":[28,43],"extension":[29],"to":[30,49,57,67],"examples":[31],"uncertainty.":[33],"These":[34],"reduce":[37,70],"problem":[39],"determining":[41],"if":[42],"example":[44,88],"has":[45],"this":[46],"property":[48],"checking":[50],"existence":[53],"solution":[56],"matrix":[62],"inequalities":[63],"(LMIs)":[64],"and,":[65],"relative":[66],"alternatives,":[68],"can":[69],"level":[72],"conservatism.":[74],"The":[75],"validity":[76],"developed":[79],"results":[80],"are":[81],"demonstrated":[82],"by":[83],"numerical":[84,87],"example.":[85],"A":[86],"is":[89],"also":[90],"given.":[91]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
