{"id":"https://openalex.org/W4393144889","doi":"https://doi.org/10.1109/tac.2024.3381234","title":"Discrete-Time Convergent Nonlinear Systems","display_name":"Discrete-Time Convergent Nonlinear Systems","publication_year":2024,"publication_date":"2024-03-25","ids":{"openalex":"https://openalex.org/W4393144889","doi":"https://doi.org/10.1109/tac.2024.3381234"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3381234","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3381234","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure.tue.nl/ws/files/342263839/Discrete-Time_Convergent_Nonlinear_Systems.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002669063","display_name":"Marc Jungers","orcid":"https://orcid.org/0000-0002-6670-3249"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Jungers","raw_affiliation_strings":["Universit&#x00E9; de Lorraine, CNRS, CRAN, Nancy, France"],"raw_orcid":"https://orcid.org/0000-0002-6670-3249","affiliations":[{"raw_affiliation_string":"Universit&#x00E9; de Lorraine, CNRS, CRAN, Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045435689","display_name":"M.F. Shakib","orcid":"https://orcid.org/0000-0003-4299-9433"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mohammad Fahim Shakib","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0003-4299-9433","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004028181","display_name":"Nathan van de Wouw","orcid":"https://orcid.org/0000-0002-6745-9137"},"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":"Nathan van de Wouw","raw_affiliation_strings":["Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-6745-9137","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3224,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77359662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"69","issue":"10","first_page":"6731","last_page":"6745"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":1.0,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":1.0,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.996999979019165,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.612578809261322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4770497679710388},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4629441499710083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35146474838256836},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1510200798511505},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12537214159965515},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1249876320362091}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.612578809261322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4770497679710388},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4629441499710083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35146474838256836},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1510200798511505},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12537214159965515},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1249876320362091},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2024.3381234","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3381234","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:publications/91168461-490f-4011-8d58-ce255abbd367","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/91168461-490f-4011-8d58-ce255abbd367","pdf_url":"https://pure.tue.nl/ws/files/342263839/Discrete-Time_Convergent_Nonlinear_Systems.pdf","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Jungers, M, Shakib, M F & Wouw, N V D 2024, 'Discrete-time Convergent Nonlinear Systems', IEEE Transactions on Automatic Control, vol. 69, no. 10, 10478552, pp. 6731-6745. https://doi.org/10.1109/TAC.2024.3381234","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-04609049v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04609049","pdf_url":"https://hal.science/hal-04609049v1/file/Preprint_DTConvergentNL_12_06_2024.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2024, 69 (10), pp.6731-6745. &#x27E8;10.1109/TAC.2024.3381234&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:publications/91168461-490f-4011-8d58-ce255abbd367","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/91168461-490f-4011-8d58-ce255abbd367","pdf_url":"https://pure.tue.nl/ws/files/342263839/Discrete-Time_Convergent_Nonlinear_Systems.pdf","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Jungers, M, Shakib, M F & Wouw, N V D 2024, 'Discrete-time Convergent Nonlinear Systems', IEEE Transactions on Automatic Control, vol. 69, no. 10, 10478552, pp. 6731-6745. https://doi.org/10.1109/TAC.2024.3381234","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2127059016","display_name":"Hybrid And Networked Dynamical sYstems","funder_award_id":"ANR-18-CE40-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3666426644","display_name":null,"funder_award_id":"18-CE40-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5615324102","display_name":null,"funder_award_id":"EP/W005557","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6876561401","display_name":null,"funder_award_id":"ANR-18","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8174091143","display_name":null,"funder_award_id":"EP/W005557/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4393144889.pdf","grobid_xml":"https://content.openalex.org/works/W4393144889.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W645921674","https://openalex.org/W1977291814","https://openalex.org/W2008663032","https://openalex.org/W2015745168","https://openalex.org/W2036216368","https://openalex.org/W2039867272","https://openalex.org/W2046874050","https://openalex.org/W2052424788","https://openalex.org/W2053901874","https://openalex.org/W2056073491","https://openalex.org/W2074840391","https://openalex.org/W2080209002","https://openalex.org/W2086784606","https://openalex.org/W2099869999","https://openalex.org/W2100601018","https://openalex.org/W2102840460","https://openalex.org/W2111303345","https://openalex.org/W2114355944","https://openalex.org/W2117079884","https://openalex.org/W2118341469","https://openalex.org/W2118668722","https://openalex.org/W2127934173","https://openalex.org/W2130151847","https://openalex.org/W2134889984","https://openalex.org/W2135575065","https://openalex.org/W2142338484","https://openalex.org/W2144518067","https://openalex.org/W2145354030","https://openalex.org/W2145601697","https://openalex.org/W2157699333","https://openalex.org/W2162053828","https://openalex.org/W2178149309","https://openalex.org/W2255439832","https://openalex.org/W2312915715","https://openalex.org/W2501985755","https://openalex.org/W2551493491","https://openalex.org/W2581472888","https://openalex.org/W2772683000","https://openalex.org/W2809060028","https://openalex.org/W2897585604","https://openalex.org/W2963372593","https://openalex.org/W2963785007","https://openalex.org/W2994868918","https://openalex.org/W3034109966","https://openalex.org/W3179609542","https://openalex.org/W3186624155","https://openalex.org/W3196740281","https://openalex.org/W3216401418","https://openalex.org/W4237663464","https://openalex.org/W4244831554","https://openalex.org/W4247392997","https://openalex.org/W4308606794","https://openalex.org/W4386006910"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0,12,61],"convergence":[1,21,118],"property":[2,22,38],"of":[3,19,42,53,86,93,125,131,148],"discrete-time":[4,87],"nonlinear":[5],"systems":[6,91],"is":[7],"studied":[8],"in":[9,67],"this":[10,111],"paper.":[11],"main":[13],"result":[14],"provides":[15],"a":[16,43,54,97,101,123],"Lyapunov-like":[17,27,114,132],"characterization":[18],"the":[20,35,40,51,64,68,84,113,146,149],"based":[23],"on":[24],"two":[25,30],"distinct":[26],"functions.":[28,141],"These":[29,73],"functions":[31,115,133,138],"are":[32,71,76,119,134],"associated":[33],"with":[34,63],"incremental":[36],"stability":[37],"and":[39,57,100,139],"existence":[41,52],"compact":[44],"positively":[45],"invariant":[46],"set,":[47],"which":[48],"together":[49],"guarantee":[50],"well-defined,":[55],"bounded,":[56],"unique":[58],"steady-state":[59],"solution.":[60],"links":[62],"conditions":[65,82],"available":[66],"recent":[69],"literature":[70],"discussed.":[72],"generic":[74],"results":[75],"subsequently":[77],"used":[78],"to":[79],"derive":[80],"constructive":[81],"for":[83],"class":[85],"Lur'e-type":[88],"systems.":[89],"Such":[90],"consist":[92],"an":[94],"interconnection":[95],"between":[96],"linear":[98,126],"system":[99],"static":[102],"nonlinearity":[103],"that":[104,116],"satisfies":[105],"cone-bounded":[106],"(incremental)":[107],"sector":[108],"conditions.":[109],"In":[110],"framework,":[112],"characterize":[117],"determined":[120],"by":[121],"solving":[122],"set":[124],"matrix":[127],"inequalities.":[128],"Several":[129],"classes":[130],"considered:":[135],"both":[136],"Lyapunov-Lur'e-type":[137],"quadratic":[140],"A":[142],"numerical":[143],"example":[144],"illustrates":[145],"applicability":[147],"results.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
