{"id":"https://openalex.org/W2099435236","doi":"https://doi.org/10.1002/nla.812","title":"Strong practical stability and stabilization of uncertain discrete linear repetitive processes","display_name":"Strong practical stability and stabilization of uncertain discrete linear repetitive processes","publication_year":2011,"publication_date":"2011-11-03","ids":{"openalex":"https://openalex.org/W2099435236","doi":"https://doi.org/10.1002/nla.812","mag":"2099435236"},"language":"en","primary_location":{"id":"doi:10.1002/nla.812","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.812","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/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"]},{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ","PL"],"is_corresponding":true,"raw_author_name":"Pawel Dabkowski","raw_affiliation_strings":["Institute of Information Theory and Automation Czech Academy of Sciences  Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, CZ\u2010182 08 Prague 8 Czech Republic","Institute of Physiscs, Faculty of Physics, Astronomy and Informatics Nicolaus Copernicus University  ul. Grudziadzka 5, 87\u2010100 Torun Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Information Theory and Automation Czech Academy of Sciences  Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, CZ\u2010182 08 Prague 8 Czech Republic","institution_ids":["https://openalex.org/I4210119419"]},{"raw_affiliation_string":"Institute of Physiscs, Faculty of Physics, Astronomy and Informatics Nicolaus Copernicus University  ul. Grudziadzka 5, 87\u2010100 Torun Poland","institution_ids":["https://openalex.org/I3019271933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066492464","display_name":"Krzysztof Ga\u0142kowski","orcid":"https://orcid.org/0000-0003-4470-2162"},"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"]},{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE","PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Galkowski","raw_affiliation_strings":["Faculty of Electrical, Information and Media Engineering Communication Theory University of Wuppertal Germany as a Gerhard Mercator Guest Professor (DFG)","Institute of Physiscs, Faculty of Physics, Astronomy and Informatics Nicolaus Copernicus University  ul. Grudziadzka 5, 87\u2010100 Torun Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering Communication Theory University of Wuppertal Germany as a Gerhard Mercator Guest Professor (DFG)","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Institute of Physiscs, Faculty of Physics, Astronomy and Informatics Nicolaus Copernicus University  ul. Grudziadzka 5, 87\u2010100 Torun Poland","institution_ids":["https://openalex.org/I3019271933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033272751","display_name":"Olivier Bachelier","orcid":"https://orcid.org/0000-0002-1655-891X"},"institutions":[{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Bachelier","raw_affiliation_strings":["LAII, ESIP University of Poitiers  40 Avenue du Recteur Pineau 86022 Poitiers Cedex France","LAII-ESIP, University of Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers Cedex, France"],"affiliations":[{"raw_affiliation_string":"LAII, ESIP University of Poitiers  40 Avenue du Recteur Pineau 86022 Poitiers Cedex France","institution_ids":["https://openalex.org/I32881790"]},{"raw_affiliation_string":"LAII-ESIP, University of Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers Cedex, France","institution_ids":["https://openalex.org/I32881790"]}]},{"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":["School of Electronics and Computer Science University of Southampton  Southampton SO17 1BJ","School of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Computer Science University of Southampton  Southampton SO17 1BJ","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"School of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080666933","display_name":"Anton Kummert","orcid":"https://orcid.org/0000-0002-0282-5087"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anton Kummert","raw_affiliation_strings":["Faculty of Electrical, Information and Media Engineering Communication Theory University of Wuppertal  Germany","Faculty of Electrical, Information and Media Engineering Communication Theory, University of Wuppertal, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering Communication Theory University of Wuppertal  Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering Communication Theory, University of Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038930344","display_name":"James Lam","orcid":"https://orcid.org/0000-0002-0294-0640"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"James Lam","raw_affiliation_strings":["Department of Mechanical Engineering University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering University of Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5015555379"],"corresponding_institution_ids":["https://openalex.org/I3019271933","https://openalex.org/I4210119419"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":1.9686,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88728928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"2","first_page":"220","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","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/T11749","display_name":"Iterative Learning Control Systems","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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9710999727249146,"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/stability","display_name":"Stability (learning theory)","score":0.7395497560501099},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6900495290756226},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6152384281158447},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5351983308792114},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5099250078201294},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5061931014060974},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47203364968299866},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4469953775405884},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.4416120946407318},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4245191812515259},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.310080349445343},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.30388933420181274},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2758041024208069},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20622694492340088},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12172380089759827},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0609593391418457}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7395497560501099},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6900495290756226},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6152384281158447},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5351983308792114},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5099250078201294},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5061931014060974},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47203364968299866},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4469953775405884},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.4416120946407318},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4245191812515259},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.310080349445343},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.30388933420181274},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2758041024208069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20622694492340088},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12172380089759827},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0609593391418457},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/nla.812","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.812","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0391865","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0220845","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:hub.hku.hk:10722/157152","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/157152","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W67671487","https://openalex.org/W1989099401","https://openalex.org/W2008916246","https://openalex.org/W2026196308","https://openalex.org/W2030613721","https://openalex.org/W2042741865","https://openalex.org/W2071084404","https://openalex.org/W2071216482","https://openalex.org/W2074448783","https://openalex.org/W2084148362","https://openalex.org/W2118401091","https://openalex.org/W2120575569","https://openalex.org/W2126420260","https://openalex.org/W2138256248","https://openalex.org/W2138879089","https://openalex.org/W2157192413","https://openalex.org/W7058550363"],"related_works":["https://openalex.org/W1965992231","https://openalex.org/W2060195842","https://openalex.org/W2107584029","https://openalex.org/W2506486174","https://openalex.org/W2137573655","https://openalex.org/W1948335084","https://openalex.org/W2051989438","https://openalex.org/W2187353352","https://openalex.org/W1986111529","https://openalex.org/W2964893663"],"abstract_inverted_index":{"SUMMARY":[0],"Repetitive":[1],"processes":[2,22],"are":[3],"a":[4,42],"distinct":[5,27],"class":[6],"of":[7,11,25,80],"2":[8],"D":[9],"systems":[10],"both":[12],"theoretical":[13],"and":[14,32,58,94,97,124],"practical":[15,82],"interest.":[16],"The":[17],"stability":[18,31,33,54,59,83,129],"theory":[19],"for":[20,45,66,84,100],"these":[21],"originally":[23],"consisted":[24],"two":[26],"concepts":[28],"termed":[29],"asymptotic":[30,53],"along":[34,60],"the":[35,39,46,61,78],"pass,":[36],"respectively,":[37],"where":[38,52,87],"former":[40],"is":[41,55,63],"necessary":[43,96],"condition":[44],"latter.":[47],"Recently":[48],"applications":[49],"have":[50],"arisen":[51],"too":[56,64],"weak,":[57],"pass":[62],"strong":[65,81],"meaningful":[67],"progress":[68],"to":[69,77,113,134],"be":[70],"made.":[71],"This,":[72],"in":[73],"turn,":[74],"has":[75,90],"led":[76],"concept":[79],"such":[85],"cases,":[86],"previous":[88],"work":[89],"formulated":[91],"this":[92],"property":[93],"obtained":[95],"sufficient":[98],"conditions":[99],"its":[101],"existence":[102],"together":[103],"with":[104],"Linear":[105],"Matrix":[106],"Inequality":[107],"based":[108],"tests,":[109],"which":[110],"then":[111],"extend":[112,133],"allow":[114,135],"robust":[115],"control":[116,136],"law":[117,137],"design.":[118,138],"This":[119],"paper":[120],"develops":[121],"considerably":[122],"simpler,":[123],"hence":[125],"computationally":[126],"more":[127],"efficient,":[128],"tests":[130],"that":[131],"also":[132],"Copyright":[139],"\u00a9":[140],"2011":[141],"John":[142],"Wiley":[143],"&amp;":[144],"Sons,":[145],"Ltd.":[146]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-04T09:10:02.777135","created_date":"2016-06-24T00:00:00"}
