{"id":"https://openalex.org/W2155844522","doi":"https://doi.org/10.1109/nds.2009.5196179","title":"New robust stability and stabilization conditions for linear repetitive processes","display_name":"New robust stability and stabilization conditions for linear repetitive processes","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2155844522","doi":"https://doi.org/10.1109/nds.2009.5196179","mag":"2155844522"},"language":"en","primary_location":{"id":"doi:10.1109/nds.2009.5196179","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2009.5196179","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Workshop on Multidimensional (nD) Systems","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.tue.nl/en/publications/6f3bb23f-30fa-47a2-838a-9b565da80c5d","any_repository_has_fulltext":true},"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/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Wojciech Paszke","raw_affiliation_strings":["Control Systems Technology Group, Eindhovan University of Technology, Eindhoven, Netherlands","TU/e - Eindhoven University of Technology [Eindhoven] (Den Dolech 2 5612 AZ Eindhoven - Netherlands)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Systems Technology Group, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"TU/e - Eindhoven University of Technology [Eindhoven] (Den Dolech 2 5612 AZ Eindhoven - Netherlands)","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I4210116740","display_name":"Laboratoire d'Informatique et d'Automatique pour les Syst\u00e8mes","ror":"https://ror.org/02b5vq778","country_code":"FR","type":"facility","lineage":["https://openalex.org/I32881790","https://openalex.org/I4210116740"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Bachelier","raw_affiliation_strings":["LAII-ESIP, University of Poitiers, Poitiers, France","LAII [Poitiers] - Laboratoire d'automatique et d'informatique industrielle [EA 1219] (40 avenue du recteur Pineau, 86022 Poitiers - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAII-ESIP, University of Poitiers, Poitiers, France","institution_ids":["https://openalex.org/I32881790"]},{"raw_affiliation_string":"LAII [Poitiers] - Laboratoire d'automatique et d'informatique industrielle [EA 1219] (40 avenue du recteur Pineau, 86022 Poitiers - France)","institution_ids":["https://openalex.org/I4210116740"]}]}],"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":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"1","last_page":"6"},"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9914000034332275,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9851999878883362,"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/flexibility","display_name":"Flexibility (engineering)","score":0.686520516872406},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6579313278198242},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6391276121139526},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5569479465484619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5229928493499756},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5227189660072327},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42466849088668823},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41437920928001404},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3485162854194641},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31830137968063354},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17902469635009766},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1490148901939392},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06528928875923157},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06130990386009216}],"concepts":[{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.686520516872406},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6579313278198242},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6391276121139526},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5569479465484619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5229928493499756},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5227189660072327},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42466849088668823},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41437920928001404},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3485162854194641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31830137968063354},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17902469635009766},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1490148901939392},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06528928875923157},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06130990386009216},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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":7,"locations":[{"id":"doi:10.1109/nds.2009.5196179","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2009.5196179","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Workshop on Multidimensional (nD) Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire/6f3bb23f-30fa-47a2-838a-9b565da80c5d","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/6f3bb23f-30fa-47a2-838a-9b565da80c5d","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Paszke, W & Bachelier, O 2009, New robust stability and stabilization conditions for linear repetitive processes. in Proceedings of the 6th International Workshop on Multidimensional (nD) Systems (NDS09), June 29 - July 1, 2009, Thessaloniki, Greece. Institute of Electrical and Electronics Engineers, Piscataway, pp. 5196179-1/6. https://doi.org/10.1109/NDS.2009.5196179","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:663392","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=663392","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":"","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.931.3101","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.931.3101","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://alexandria.tue.nl/openaccess/Metis229374.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-04136624v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04136624","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc. International Workshop on Multidimensional Systems (nDS), Jun 2009, Tessalonique, Greece. ⟨10.1109/NDS.2009.5196179⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:library.tue.nl:663392","is_oa":false,"landing_page_url":"http://repository.tue.nl/663392","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":"","raw_type":null},{"id":"pmh:tue:oai:pure.tue.nl:publications/6f3bb23f-30fa-47a2-838a-9b565da80c5d","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/6f3bb23f-30fa-47a2-838a-9b565da80c5d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Proceedings of the 6th International Workshop on Multidimensional (nD) Systems (NDS09), June 29 - July 1, 2009, Thessaloniki, Greece, 5196179 - 1/6","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:openaire/6f3bb23f-30fa-47a2-838a-9b565da80c5d","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/6f3bb23f-30fa-47a2-838a-9b565da80c5d","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Paszke, W & Bachelier, O 2009, New robust stability and stabilization conditions for linear repetitive processes. in Proceedings of the 6th International Workshop on Multidimensional (nD) Systems (NDS09), June 29 - July 1, 2009, Thessaloniki, Greece. Institute of Electrical and Electronics Engineers, Piscataway, pp. 5196179-1/6. https://doi.org/10.1109/NDS.2009.5196179","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W68691847","https://openalex.org/W130632564","https://openalex.org/W185441541","https://openalex.org/W599493598","https://openalex.org/W1525626718","https://openalex.org/W1544575528","https://openalex.org/W2034539682","https://openalex.org/W2035136053","https://openalex.org/W2035833389","https://openalex.org/W2042741865","https://openalex.org/W2051114549","https://openalex.org/W2091011675","https://openalex.org/W2100038940","https://openalex.org/W2110331379","https://openalex.org/W2118007570","https://openalex.org/W2131603290","https://openalex.org/W2157192413","https://openalex.org/W2166598655","https://openalex.org/W2166728224","https://openalex.org/W2170157324","https://openalex.org/W2171222770","https://openalex.org/W2417903161","https://openalex.org/W2463908258","https://openalex.org/W3210839039","https://openalex.org/W6605250307","https://openalex.org/W6607518212","https://openalex.org/W6618161659","https://openalex.org/W6684944341"],"related_works":["https://openalex.org/W4236696095","https://openalex.org/W3143779693","https://openalex.org/W2626808643","https://openalex.org/W2004064826","https://openalex.org/W3103727510","https://openalex.org/W97045569","https://openalex.org/W1527069879","https://openalex.org/W2946179579","https://openalex.org/W2054171707","https://openalex.org/W1716629940"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3],"the":[4,48],"problem":[5],"of":[6],"robust":[7],"stabilization":[8],"for":[9],"differential":[10],"or":[11],"discrete":[12],"linear":[13],"repetitive":[14],"processes.":[15],"The":[16],"provided":[17],"conditions":[18],"allow":[19],"us":[20],"to":[21,46],"involve":[22],"parameter":[23],"dependent":[24],"Lyapunov":[25],"functions.":[26],"An":[27],"additional":[28],"flexibility":[29],"in":[30],"finding":[31],"a":[32],"solution":[33],"is":[34,44],"obtained":[35],"by":[36],"introducing":[37],"slack":[38],"matrix":[39],"variables.":[40],"A":[41],"simulation":[42],"example":[43],"given":[45],"illustrate":[47],"theoretical":[49],"developments.":[50]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}