{"id":"https://openalex.org/W2124428273","doi":"https://doi.org/10.1109/acc.2011.5990737","title":"Computationally implementable sufficient conditions for the synchronisation of coupled dynamical systems with time delays in the coupling","display_name":"Computationally implementable sufficient conditions for the synchronisation of coupled dynamical systems with time delays in the coupling","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2124428273","doi":"https://doi.org/10.1109/acc.2011.5990737","mag":"2124428273"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5990737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990737","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-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/A5061495550","display_name":"Elias August","orcid":"https://orcid.org/0000-0001-9018-5624"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Elias August","raw_affiliation_strings":["Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","Department of Information Technology and Electrical Engineering, ETH Zurich, Physikstrasse 3, 8092, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Information Technology and Electrical Engineering, ETH Zurich, Physikstrasse 3, 8092, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100339993","display_name":"Yongqiang Wang","orcid":"https://orcid.org/0000-0003-3109-9480"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yongqiang Wang","raw_affiliation_strings":["Department of Chemical Engineering, University of California, Santa Barbara, CA, USA","Department of Chemical Engineering, University of California, Santa Barbara, 93106-5080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Santa Barbara, 93106-5080, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103218398","display_name":"Francis J. Doyle","orcid":"https://orcid.org/0000-0001-5342-4083"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francis J. Doyle","raw_affiliation_strings":["Department of Chemical Engineering, University of California, Santa Barbara, CA, USA","Department of Chemical Engineering, University of California, Santa Barbara, 93106-5080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Santa Barbara, 93106-5080, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011610617","display_name":"James Lu","orcid":"https://orcid.org/0000-0002-9687-5607"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"James Lu","raw_affiliation_strings":["Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","Department of Information Technology and Electrical Engineering, ETH Zurich, Physikstrasse 3, 8092, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Information Technology and Electrical Engineering, ETH Zurich, Physikstrasse 3, 8092, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070544702","display_name":"Heinz Koeppl","orcid":"https://orcid.org/0000-0002-8305-9379"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"Heinz Koeppl","raw_affiliation_strings":["Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","Department of Chemical Engineering, University of California, Santa Barbara, 93106-5080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Santa Barbara, 93106-5080, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5061495550"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18896805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":null,"first_page":"839","last_page":"844"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9947999715805054,"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/T12216","display_name":"Network Time Synchronization Technologies","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/coupling","display_name":"Coupling (piping)","score":0.6897419095039368},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.6346151828765869},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.57254958152771},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5695496797561646},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5206369757652283},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.485101580619812},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.38615110516548157},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35756927728652954},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.337137907743454},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21629074215888977},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2025781273841858},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.09622865915298462},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09388568997383118}],"concepts":[{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6897419095039368},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.6346151828765869},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.57254958152771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5695496797561646},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5206369757652283},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.485101580619812},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.38615110516548157},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35756927728652954},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.337137907743454},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21629074215888977},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2025781273841858},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.09622865915298462},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09388568997383118},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2011.5990737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990737","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:64966","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/xpls/abs\\_all.jsp?arnumber=5990737\\&tag=1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Konferenzver\u00f6ffentlichung"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337630","display_name":"Army Research Institute for the Behavioral and Social Sciences","ror":"https://ror.org/03bq05s23"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1967184028","https://openalex.org/W1968577034","https://openalex.org/W1969087273","https://openalex.org/W1979813760","https://openalex.org/W1984924768","https://openalex.org/W2031356502","https://openalex.org/W2043831896","https://openalex.org/W2050050710","https://openalex.org/W2061479153","https://openalex.org/W2079135578","https://openalex.org/W2083787309","https://openalex.org/W2096369224","https://openalex.org/W2124597556","https://openalex.org/W2130518506","https://openalex.org/W2131050167","https://openalex.org/W2134889984","https://openalex.org/W2140380216","https://openalex.org/W2147626503","https://openalex.org/W2152554022","https://openalex.org/W2153841181","https://openalex.org/W2155318630","https://openalex.org/W2165517202","https://openalex.org/W2165861322","https://openalex.org/W2170131286","https://openalex.org/W2170774893","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W3104756619","https://openalex.org/W6678701251","https://openalex.org/W6682472736"],"related_works":["https://openalex.org/W2757394160","https://openalex.org/W4229005303","https://openalex.org/W2069173628","https://openalex.org/W2975999490","https://openalex.org/W3125812129","https://openalex.org/W3215671869","https://openalex.org/W2291158962","https://openalex.org/W2056626217","https://openalex.org/W1541871911","https://openalex.org/W2184005427"],"abstract_inverted_index":{"Understanding":[0],"the":[1,20,48,74,86,90,95],"mechanisms":[2],"behind":[3],"synchronisation":[4,21,75],"of":[5,22,27,76],"coupled":[6,23,50,77],"systems":[7,53,81],"is":[8,26],"important":[9],"in":[10,40,63,85],"biology,":[11],"chemistry,":[12],"physics":[13],"and":[14],"engineering.":[15],"For":[16],"example,":[17],"research":[18],"on":[19],"circadian":[24],"clocks":[25],"much":[28],"importance":[29],"to":[30,56,61],"better":[31],"understand":[32],"many":[33],"different":[34,38,49],"disease":[35],"states.":[36],"Or,":[37],"applications":[39],"engineering":[41],"require":[42],"certificates":[43],"for":[44,73],"synchronised":[45],"behaviour":[46],"between":[47],"subsystems.":[51],"Such":[52],"could":[54],"correspond":[55],"tethered":[57],"space":[58],"vehicles":[59,62],"or":[60],"formation":[64],"flight.":[65],"In":[66],"this":[67],"paper,":[68],"we":[69,106],"provide":[70],"sufficient":[71],"conditions":[72,96],"identical":[78],"nonlinear":[79],"dynamical":[80],"with":[82],"time":[83],"delays":[84],"coupling,":[87],"which":[88,105],"makes":[89],"modelling":[91],"more":[92],"realistic.":[93],"Importantly,":[94],"can":[97],"be":[98],"efficiently":[99],"checked":[100],"using":[101],"semi-definite":[102],"programming":[103],"techniques,":[104],"illustrate":[107],"through":[108],"applications.":[109]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}