{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:09:22Z","timestamp":1761487762988,"version":"3.41.0"},"reference-count":9,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2006,4,1]],"date-time":"2006-04-01T00:00:00Z","timestamp":1143849600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGBED Rev."],"published-print":{"date-parts":[[2006,4]]},"abstract":"<jats:p>This paper describes a method for finding the stability regions of the PI and PIP controllers for TCP AQM with delays. The method is applied on several representative examples, showing that stable controllers can exhibit widely different performance. Thus, the results highlight the importance of optimizing the design of PI AQM. Furthermore, the paper shows that the previously proposed PIP controller can be unstable in the presence of delays even for the control parameters given in the literature.<\/jats:p>","DOI":"10.1145\/1143489.1143491","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"1-6","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":6,"title":["Complete stability region characterization for PI-AQM"],"prefix":"10.1145","volume":"3","author":[{"given":"Ahmad T.","family":"Al-Hammouri","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, Ohio"}]},{"given":"Vincenzo","family":"Liberatore","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, Ohio"}]},{"given":"Michael S.","family":"Branicky","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, Ohio"}]},{"given":"Stephen M.","family":"Phillips","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Arizona State University, Tempe, Arizona"}]}],"member":"320","published-online":{"date-parts":[[2006,4]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2002.1008360"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/863955.863987"},{"key":"e_1_2_1_3_1","volume-title":"On designing improved controllers for AQM routers supporting TCP flows,\" in Proceedings of IEEE INFOCOM","author":"Hollot C.","year":"2001","unstructured":"{3} C. 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