{"title":"任意时延网络下TCP/AQM协议的全局稳定性分析","authors":"A. Papachristodoulou","doi":"10.1109/CDC.2004.1428823","DOIUrl":null,"url":null,"abstract":"We investigate global stability of fast AQM scalable TCP (FAST), a network congestion control scheme for the Internet modelled by a nonlinear delay differential equation with heterogeneous delays. The stability conditions resemble the ones from the linearization, are delay-dependent and scalable for arbitrary network sizes; the special structure of the system and the choice of TCP/AQM dynamics allow the construction of appropriate Lyapunov-Krasovskii functionals in a scalable way.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"31","resultStr":"{\"title\":\"Global stability analysis of a TCP/AQM protocol for arbitrary networks with delay\",\"authors\":\"A. Papachristodoulou\",\"doi\":\"10.1109/CDC.2004.1428823\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate global stability of fast AQM scalable TCP (FAST), a network congestion control scheme for the Internet modelled by a nonlinear delay differential equation with heterogeneous delays. The stability conditions resemble the ones from the linearization, are delay-dependent and scalable for arbitrary network sizes; the special structure of the system and the choice of TCP/AQM dynamics allow the construction of appropriate Lyapunov-Krasovskii functionals in a scalable way.\",\"PeriodicalId\":254457,\"journal\":{\"name\":\"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"31\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2004.1428823\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2004.1428823","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global stability analysis of a TCP/AQM protocol for arbitrary networks with delay
We investigate global stability of fast AQM scalable TCP (FAST), a network congestion control scheme for the Internet modelled by a nonlinear delay differential equation with heterogeneous delays. The stability conditions resemble the ones from the linearization, are delay-dependent and scalable for arbitrary network sizes; the special structure of the system and the choice of TCP/AQM dynamics allow the construction of appropriate Lyapunov-Krasovskii functionals in a scalable way.
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