{"id":"https://openalex.org/W2035403096","doi":"https://doi.org/10.1109/cdc.2011.6160611","title":"Small-gain results for discrete-time networks of systems with delay","display_name":"Small-gain results for discrete-time networks of systems with delay","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2035403096","doi":"https://doi.org/10.1109/cdc.2011.6160611","mag":"2035403096"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European 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/A5025383822","display_name":"Rob H. Gielen","orcid":null},"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":true,"raw_author_name":"Rob H. Gielen","raw_affiliation_strings":["Faculty of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","Faculty of Electrical Engineering, Eindhoven University of Technology,The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Faculty of Electrical Engineering, Eindhoven University of Technology,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045512282","display_name":"Mircea Lazar","orcid":"https://orcid.org/0000-0003-4338-9004"},"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":"Mircea Lazar","raw_affiliation_strings":["Faculty of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","Faculty of Electrical Engineering, Eindhoven University of Technology,The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Faculty of Electrical Engineering, Eindhoven University of Technology,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002737786","display_name":"Andrew R. Teel","orcid":"https://orcid.org/0000-0002-6508-0879"},"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":"Andrew R. Teel","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of California, Santa Barbara, USA","[Electrical and Computer Engineering Department, University of California Santa Barbara, USA]"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"[Electrical and Computer Engineering Department, University of California Santa Barbara, USA]","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025383822"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09438332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"134","issue":null,"first_page":"4239","last_page":"4244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9991999864578247,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9961000084877014,"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/interconnection","display_name":"Interconnection","score":0.6623964905738831},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6345409154891968},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.63068687915802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6036763191223145},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5924054980278015},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.49163180589675903},{"id":"https://openalex.org/keywords/propagation-delay","display_name":"Propagation delay","score":0.47574421763420105},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4566267430782318},{"id":"https://openalex.org/keywords/telecommunications-network","display_name":"Telecommunications network","score":0.4217588007450104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2929965853691101},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12261950969696045},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09853029251098633},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.07888990640640259}],"concepts":[{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.6623964905738831},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6345409154891968},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.63068687915802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6036763191223145},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5924054980278015},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.49163180589675903},{"id":"https://openalex.org/C90806461","wikidata":"https://www.wikidata.org/wiki/Q1144416","display_name":"Propagation delay","level":2,"score":0.47574421763420105},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4566267430782318},{"id":"https://openalex.org/C192126672","wikidata":"https://www.wikidata.org/wiki/Q1068715","display_name":"Telecommunications network","level":2,"score":0.4217588007450104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2929965853691101},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12261950969696045},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09853029251098633},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.07888990640640259},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/cdc.2011.6160611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/6db7c3c9-6d4b-4185-ad42-0b06f339826e","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/6db7c3c9-6d4b-4185-ad42-0b06f339826e","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":"Gielen, R H, Lazar, M & Teel, A R 2011, Small-gain results for discrete-time networks of systems with delay. in Proceedings of the 50th IEEE Conference on Decision and Control, 12-15 December 2011, Orlando. Florida. Institute of Electrical and Electronics Engineers, pp. 4239-4244, 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011), Orlando, Florida, United States, 12/12/11.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:725382","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=725382","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":""},{"id":"pmh:oai:library.tue.nl:725382","is_oa":false,"landing_page_url":"http://repository.tue.nl/725382","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":""},{"id":"pmh:tue:oai:pure.tue.nl:publications/6db7c3c9-6d4b-4185-ad42-0b06f339826e","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/6db7c3c9-6d4b-4185-ad42-0b06f339826e","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 50th IEEE Conference on Decision and Control, 12-15 December 2011, Orlando. Florida, 4239 - 4244","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":22,"referenced_works":["https://openalex.org/W1491672380","https://openalex.org/W1506119886","https://openalex.org/W1965623622","https://openalex.org/W1967464662","https://openalex.org/W1986654882","https://openalex.org/W2007927217","https://openalex.org/W2010340595","https://openalex.org/W2020000021","https://openalex.org/W2027526023","https://openalex.org/W2047017331","https://openalex.org/W2060025286","https://openalex.org/W2095477585","https://openalex.org/W2107221565","https://openalex.org/W2121215794","https://openalex.org/W2145160272","https://openalex.org/W2169703391","https://openalex.org/W2290598342","https://openalex.org/W2476238858","https://openalex.org/W2602502146","https://openalex.org/W2963950441","https://openalex.org/W3101604534","https://openalex.org/W6696868639"],"related_works":["https://openalex.org/W2155019192","https://openalex.org/W2014709025","https://openalex.org/W2766970861","https://openalex.org/W3125341812","https://openalex.org/W1991674760","https://openalex.org/W1668171714","https://openalex.org/W2155297398","https://openalex.org/W4380607112","https://openalex.org/W2218294330","https://openalex.org/W1997278405"],"abstract_inverted_index":{"In":[0],"this":[1,74],"paper":[2],"input-to-state":[3],"stability":[4,81],"for":[5,102,114,117],"large-scale":[6],"discrete-time":[7],"networks":[8,103,119],"of":[9,27,44,82,85,104],"systems":[10,86,105],"with":[11,106,120],"delay":[12,121],"is":[13,35,87,122],"considered.":[14,72],"Firstly,":[15],"interconnection":[16],"delays":[17,39,55,65],"between":[18],"systems,":[19],"which":[20,59],"can":[21,60],"arise":[22,61],"due":[23,62],"to":[24,63],"the":[25,42,45,80,83,90,94,100],"propagation":[26],"signals":[28],"over":[29],"large":[30],"distances,":[31],"are":[32,71],"treated.":[33],"It":[34],"established":[36,88],"that":[37],"such":[38],"cannot":[40],"cause":[41],"instability":[43],"network":[46,84],"if":[47],"a":[48,77,112],"delay-independent":[49],"small-gain":[50,78],"condition":[51],"holds.":[52],"Secondly,":[53],"local":[54,68,109],"in":[56,66],"each":[57,67],"system,":[58],"inherent":[64],"dynamical":[69],"process,":[70],"For":[73],"set-up,":[75],"using":[76],"condition,":[79],"via":[89],"Razumikhin":[91],"method":[92],"and":[93,108],"Krasovskii":[95],"approach,":[96],"respectively.":[97],"By":[98],"combining":[99],"results":[101],"communication":[107],"delays,":[110],"respectively,":[111],"framework":[113],"ISS":[115],"analysis":[116],"general":[118],"obtained.":[123]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
