{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T17:02:29Z","timestamp":1725469349143},"reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540347712"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-34774-7_25","type":"book-chapter","created":{"date-parts":[[2006,8,25]],"date-time":"2006-08-25T19:48:26Z","timestamp":1156535306000},"page":"193-200","source":"Crossref","is-referenced-by-count":0,"title":["Nonlinear AIMD Congestion Control and Contraction Mappings"],"prefix":"10.1007","author":[{"given":"Uriel G.","family":"Rothblum","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert","family":"Shorten","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"25_CR1","unstructured":"M. Akar, R. Shorten and F. Wirth, Consensus algorithms and TCP, in preparation."},{"key":"25_CR2","doi-asserted-by":"crossref","unstructured":"E. Altman and K. Avrachenkov and B. Prabhu, Fairness in MIMD Congestion Control Algorithms, Proceedings of the IEEE INFOCOM, 2005.","DOI":"10.1109\/INFCOM.2005.1498360"},{"key":"25_CR3","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.laa.2004.07.016","volume":"393","author":"A. Berman","year":"2004","unstructured":"A. Berman, R. Shorten and D. Leith, Positive matrices associated with synchronised communication networks, Linear Algebra and its Applications 393, pp. 47\u201354, 2004.","journal-title":"Linear Algebra and its Applications"},{"key":"25_CR4","first-page":"1","volume":"17","author":"D. Chiu","year":"1989","unstructured":"D. Chiu and R. Jain, Analysis of the Increase\/Decrease Algorithms for Congestion Avoidance in Computer Networks, Journal of Computer Networks 17, pp. 1\u201314, 1989.","journal-title":"Journal of Computer Networks"},{"key":"25_CR5","doi-asserted-by":"crossref","unstructured":"S. Floyd, HighSpeed TCP for Large Congestion Windows, IETF RFC 3649, Experimental, Dec 2003.","DOI":"10.17487\/rfc3649"},{"key":"25_CR6","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1109\/TNET.2004.833149","volume":"12","author":"Z. Hhoa","year":"2004","unstructured":"Z. Hhoa, S. Darbha,. and A. Reddy, A method for estimating the proportion of nonresponsive traffic at a router, IEEE\/ACM Transactions on Networking 12, pp. 708\u2013718, 2004.","journal-title":"IEEE\/ACM Transactions on Networking"},{"key":"25_CR7","unstructured":"S. Jin and L. Guo and I. Matta and A. Bestavros, A Spectrum of TCP-friendly Window-based Congestion Control Algorithms, TR-2001-015, Boston University, 2001."},{"key":"25_CR8","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1038\/sj.jors.2600523","volume":"49","author":"F. Kelly","year":"1998","unstructured":"F. Kelly and A. Maulloo and D. Tan, Rate control in communication networks: shadow prices, proportional fairness and stability, Journal of the Operational Research Society 49, pp. 237\u2013252, 1998.","journal-title":"Journal of the Operational Research Society"},{"key":"25_CR9","unstructured":"T. Kelly, On engineering a stable and scalable TCP variant, Cambridge University Engineering Department Technical Report CUED\/F-INFENG\/TR. 435, June 2002."},{"key":"25_CR10","unstructured":"D.J. Leith and R.N. Shorten, H-TCP Protocol for High-Speed Long-Distance Networks, Proc. 2nd Workshop on Protocols for Fast Long Distance Networks, Argonne, Canada, 2004."},{"key":"25_CR11","unstructured":"D.J. Leith and R.N. Shorten, H-TCP: TCP Congestion Control for High Bandwidth-Delay Product Path, IETF Internet Draft draft-leith-tcp-htcp-00, June 2005. http:\/\/www.hamilton.ie\/net\/draft-leith-tcp-htcp-00.txt."},{"key":"25_CR12","unstructured":"D. Leith and R. Shorten, Instabilities in Scalable TCP, in preparation."},{"key":"25_CR13","unstructured":"A. Leizarowitz, R. Stanojevic and R. Shorten, Towards an analysis and design framework for communication networks with Markovian dynamics, IEE Proceedings on Control Theory, accepted for publication."},{"key":"25_CR14","unstructured":"R. Nishanth, R. Sastry and S. Lam, A Framework for Window-based Unicast Congestion Control. http:\/\/www.citeseer.ist.psu.edu\/sastry02cyrf.html."},{"key":"25_CR15","doi-asserted-by":"crossref","unstructured":"R. Shorten, D.J. Leith, J. Foy, R. Kilduff, Analysis and design of congestion control in synchronized communication networks, Automatica, 2005.","DOI":"10.1016\/j.automatica.2004.09.017"},{"key":"25_CR16","unstructured":"R. Shorten, D.J. Leith and F. Wirth, Modelling TCP Congestion Control Dynamics in Droptail Environments, Automatica, accepted for publication."},{"key":"25_CR17","unstructured":"R.N. Shorten, F. Wirth, F., D.J. Leith, A positive systems model of TCP-like congestion control: Asymptotic results, IEEE\/ACM Trans Networking, to appear."},{"key":"25_CR18","doi-asserted-by":"crossref","unstructured":"R. Srikant, The Mathematics of Internet Congestion Control, Series: Systems and Control, Birkhauser, 2004.","DOI":"10.1007\/978-0-8176-8216-3"},{"key":"25_CR19","unstructured":"L. Xu, K. Harfoush, I. Rhee, Binary Increase Congestion Control for Fast Long-Distance Networks, Proceedings of the IEEE INFOCOM, 2004"},{"key":"25_CR20","doi-asserted-by":"crossref","unstructured":"F. Wirth, R. Stanojevic, R. Shorten, and D. Leith, \u2018Stochastic equilibria of AIMD communication networks, SIAM Journal of Matrix Analysis, accepted for publication, 2006.","DOI":"10.1137\/040620953"}],"container-title":["Lecture Notes in Control and Information Sciences","Positive Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-34774-7_25.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T20:59:05Z","timestamp":1605646745000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-34774-7_25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540347712"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/3-540-34774-7_25","relation":{},"subject":[]}}