{"id":"https://openalex.org/W2044228893","doi":"https://doi.org/10.1109/cdc.2012.6425916","title":"From convergent dynamics to incremental stability","display_name":"From convergent dynamics to incremental stability","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2044228893","doi":"https://doi.org/10.1109/cdc.2012.6425916","mag":"2044228893"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6425916","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6425916","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","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/A5040557933","display_name":"Bj\u00f6rn S. R\u00fcffer","orcid":"https://orcid.org/0000-0001-8180-9773"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bjorn S. Ruffer","raw_affiliation_strings":["Signal and System Theory Group, EIM-E, Universit\u00e4t Paderborn, Paderborn, Germany","Universit\u00e4t Paderborn, Signal and System Theory Group, EIM-E, Warburger Stra\u00dfe 100, 33098, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Signal and System Theory Group, EIM-E, Universit\u00e4t Paderborn, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Universit\u00e4t Paderborn, Signal and System Theory Group, EIM-E, Warburger Stra\u00dfe 100, 33098, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","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, Netherlands","Eindhoven University of Technology, Department of Mechanical Engineering, P.O. Box 513, NL 5600 MB, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Eindhoven University of Technology, Department of Mechanical Engineering, P.O. Box 513, NL 5600 MB, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077882121","display_name":"Markus Mueller","orcid":"https://orcid.org/0000-0001-7489-6397"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Markus Mueller","raw_affiliation_strings":["Environment and Sustainability Institute, University of Exeter, Penryn, Cornwall, UK","University of Exeter, Environment and Sustainability Institute, Penryn, Cornwall, TR10 9EZ, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Environment and Sustainability Institute, University of Exeter, Penryn, Cornwall, UK","institution_ids":["https://openalex.org/I23923803"]},{"raw_affiliation_string":"University of Exeter, Environment and Sustainability Institute, Penryn, Cornwall, TR10 9EZ, United Kingdom","institution_ids":["https://openalex.org/I23923803"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5471,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61388309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"2958","last_page":"2963"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9887999892234802,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7509075403213501},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7469362020492554},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6852825880050659},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.521443784236908},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4863463044166565},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47590407729148865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4014471769332886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37463316321372986},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37245261669158936},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0895003080368042},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07451394200325012},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.053655385971069336}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7509075403213501},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7469362020492554},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6852825880050659},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.521443784236908},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4863463044166565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47590407729148865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4014471769332886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37463316321372986},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37245261669158936},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0895003080368042},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07451394200325012},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.053655385971069336},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/cdc.2012.6425916","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6425916","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/c6d26ab4-b18a-4b2d-8fe9-91e3a14b4b93","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/c6d26ab4-b18a-4b2d-8fe9-91e3a14b4b93","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"R\u00fcffer, B S, Wouw, van de, N & Mueller, M 2012, From convergent dynamics to incremental stability. in Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012), 10-13 December 2012, Maui, Hawai. Institute of Electrical and Electronics Engineers, Piscataway, pp. 2958-2963. https://doi.org/10.1109/CDC.2012.6425916","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:750762","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=750762","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:library.tue.nl:750762","is_oa":false,"landing_page_url":"http://repository.tue.nl/750762","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":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/c6d26ab4-b18a-4b2d-8fe9-91e3a14b4b93","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/c6d26ab4-b18a-4b2d-8fe9-91e3a14b4b93","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012), 10-13 December 2012, Maui, Hawai, 2958 - 2963","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W131014589","https://openalex.org/W1484739396","https://openalex.org/W1520415682","https://openalex.org/W1543420164","https://openalex.org/W2008663032","https://openalex.org/W2029063034","https://openalex.org/W2045945087","https://openalex.org/W2053901874","https://openalex.org/W2080209002","https://openalex.org/W2086784606","https://openalex.org/W2102840460","https://openalex.org/W2110216011","https://openalex.org/W2117079884","https://openalex.org/W2119630518","https://openalex.org/W2151136609","https://openalex.org/W2162484124","https://openalex.org/W2312915715","https://openalex.org/W2323312180","https://openalex.org/W2496842803","https://openalex.org/W4239216443","https://openalex.org/W4295882818"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2142048021","https://openalex.org/W2756324413","https://openalex.org/W2383529437","https://openalex.org/W2134075948","https://openalex.org/W2582753012","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"paper":[1,47],"advocates":[2],"that":[3,30,51,83],"the":[4,21,39,45,58,84],"convergent":[5,22],"systems":[6,23,91],"property":[7,24,86],"and":[8,96],"incremental":[9,52,88],"stability":[10,53,89],"are":[11,74],"two":[12],"intimately":[13],"related":[14],"though":[15],"different":[16],"properties.":[17],"Sufficient":[18],"conditions":[19],"for":[20,90],"usually":[25],"rely":[26],"upon":[27],"first":[28],"showing":[29],"a":[31,99],"system":[32],"is":[33,49,81,103],"incrementally":[34],"stable,":[35],"as":[36],"e.g.":[37],"in":[38,44,69],"celebrated":[40],"Demidovich":[41],"condition.":[42],"However,":[43],"current":[46],"it":[48,80],"shown":[50],"itself":[54],"does":[55],"not":[56],"imply":[57],"convergence":[59,85],"property,":[60],"or":[61],"vice":[62],"versa.":[63],"Moreover,":[64],"characterizations":[65],"of":[66,71],"both":[67],"properties":[68],"terms":[70],"Lyapunov":[72],"functions":[73],"given.":[75],"Based":[76],"on":[77,93],"these":[78],"characterizations,":[79],"established":[82],"implies":[87],"evolving":[92],"compact":[94],"sets,":[95],"also":[97],"when":[98],"suitable":[100],"uniformity":[101],"condition":[102],"satisfied.":[104]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}