{"id":"https://openalex.org/W1491811935","doi":"https://doi.org/10.1109/cdc.2003.1271719","title":"Global stability with time-delay of a primal-dual congestion control","display_name":"Global stability with time-delay of a primal-dual congestion control","publication_year":2004,"publication_date":"2004-04-23","ids":{"openalex":"https://openalex.org/W1491811935","doi":"https://doi.org/10.1109/cdc.2003.1271719","mag":"1491811935"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1271719","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1271719","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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/A5002711310","display_name":"Z. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Z. Wang","raw_affiliation_strings":["Electrical Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","[Dept. of Electr. Eng., UCLA, Los Angeles, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., UCLA, Los Angeles, CA, USA]","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072319687","display_name":"Fernando Paganini","orcid":"https://orcid.org/0000-0002-1258-9049"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. Paganini","raw_affiliation_strings":["Electrical Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","[Dept. of Electr. Eng., UCLA, Los Angeles, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., UCLA, Los Angeles, CA, USA]","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002711310"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":3.9851,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.9413412,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3671","last_page":"3676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10138","display_name":"Network Traffic and Congestion Control","score":0.9995999932289124,"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.9995999932289124,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.7142673134803772},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6404858827590942},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5791440010070801},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5790421962738037},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5663183927536011},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5203608870506287},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5201526284217834},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48271462321281433},{"id":"https://openalex.org/keywords/flow-control","display_name":"Flow control (data)","score":0.47119995951652527},{"id":"https://openalex.org/keywords/network-congestion","display_name":"Network congestion","score":0.46815991401672363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4632818102836609},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.4358729124069214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43174517154693604},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4246191084384918},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.41432851552963257},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3713409900665283},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34178781509399414},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1477641463279724},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08793118596076965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08431777358055115}],"concepts":[{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.7142673134803772},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6404858827590942},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5791440010070801},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5790421962738037},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5663183927536011},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5203608870506287},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5201526284217834},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48271462321281433},{"id":"https://openalex.org/C186766456","wikidata":"https://www.wikidata.org/wiki/Q612457","display_name":"Flow control (data)","level":2,"score":0.47119995951652527},{"id":"https://openalex.org/C195563490","wikidata":"https://www.wikidata.org/wiki/Q180368","display_name":"Network congestion","level":3,"score":0.46815991401672363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4632818102836609},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.4358729124069214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43174517154693604},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4246191084384918},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.41432851552963257},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3713409900665283},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34178781509399414},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1477641463279724},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08793118596076965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08431777358055115},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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":2,"locations":[{"id":"doi:10.1109/cdc.2003.1271719","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1271719","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.10.3875","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.3875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ee.ucla.edu/~paganini/PS/Papers/cdc03_zk.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1607633954","https://openalex.org/W1804414343","https://openalex.org/W1974662497","https://openalex.org/W2012879582","https://openalex.org/W2029057669","https://openalex.org/W2037710455","https://openalex.org/W2067764765","https://openalex.org/W2102291187","https://openalex.org/W2109574448","https://openalex.org/W2116767225","https://openalex.org/W2130301482","https://openalex.org/W2142325999","https://openalex.org/W2142579743","https://openalex.org/W2159715570","https://openalex.org/W2174430759","https://openalex.org/W2564583554","https://openalex.org/W4211202937","https://openalex.org/W4240896209","https://openalex.org/W6657713184"],"related_works":["https://openalex.org/W1483864377","https://openalex.org/W2161382340","https://openalex.org/W2131441491","https://openalex.org/W2383692046","https://openalex.org/W2890827962","https://openalex.org/W85479676","https://openalex.org/W2387720253","https://openalex.org/W2188694736","https://openalex.org/W2174583209","https://openalex.org/W3202955346"],"abstract_inverted_index":{"This":[0],"paper":[1,39],"concerns":[2],"network":[3],"congestion":[4],"control,":[5],"focusing":[6,50],"on":[7,35,53,67,86],"a":[8,32,57],"recently":[9],"proposed":[10],"\"primal-dual\"":[11],"control":[12],"law":[13],"that":[14,71],"has":[15],"been":[16],"shown":[17],"to":[18],"give":[19,80],"local":[20],"stability":[21,43],"and":[22,31,60,89],"desirable":[23],"equilibrium":[24],"properties":[25],"for":[26,44,51,73],"networks":[27],"of":[28,56,76],"arbitrary":[29],"capacity":[30],"fixed":[33],"bound":[34],"delay.":[36],"In":[37],"this":[38],"we":[40,79],"study":[41],"global":[42,83],"these":[45],"non-linear,":[46],"delay":[47],"differential":[48],"equations,":[49],"simplicity":[52],"the":[54,68],"scenario":[55],"single":[58],"flow":[59],"bottleneck":[61],"link.":[62],"We":[63],"first":[64],"provide":[65],"bounds":[66],"state":[69],"variables":[70],"hold":[72],"any":[74],"choice":[75],"parameters.":[77],"Then":[78],"results":[81],"regarding":[82],"stability,":[84],"based":[85],"Lyapunov-Razumikhin":[87],"methods":[88],"singular":[90],"perturbation":[91],"theory.":[92]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
