Global stability of congestion controllers for the Internet

IEEE Transactions on Automatic Control

Volumn 48, Issue 6, 2003, Pages 1055-1060

  Deb, Supratim ^a   Srikant, R ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Congestion control; Feedback delay; Global exponential stability

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; INTERNET; SYSTEM STABILITY;

GLOBAL EXPONENTIAL STABILITY;

CONTROL EQUIPMENT;

EID: 0037871826     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.812809     Document Type: Article

References (17)

1. S. Athuraliya, D. E. Lapsley, and S. H. Low, "Random early marking for Internet congestion control," in Proc. IEEE GLOBECOM, 1999, pp. 1264-1268.
2. J. Hale and S. M. V. Lunel, Introduction to Functional Differential Equations, 2nd ed. New York, NY: Springer-Verlag, 1991.
3. C. V. Hollot and Y. Chait, "Nonlinear stability analysis for a class of TCP/AQM schemes," in Proc. IEEE Conf. Decision Control, Dec. 2001, pp. 2309-2314.
4. C. V. Hollot, V. Misra, D. Towsley, and W. Gong, "On designing improved controllers for AQM routers supporting TCP flows," in Proc. INFOCOM 2001, Anchorage, AK, Apr. 2001, pp. 1726-1734.
5. R. Johari and D. Tan, "End-to-end congestion control for the internet: Delays and stability," IEEE/ACM Trans. Networking, vol. 9, pp. 818-832, Dec. 2001.
6. F. P. Kelly, A. Maulloo, and D. Tan, "Rate control in communication networks: Shadow prices, proportional fairness and stability," J. Oper. Res. Soc., vol. 49, pp. 237-252, 1998.
7. F. P. Kelly, "Models for a self-managed Internet," Phil. Trans. Royal Soc., vol. A358, pp. 2335-2348, 2000.
8. _, "Mathematical modeling of the Internet," in Mathematics Unlimited - 2001 and Beyond, B. Engquist and W. Schmid, Eds. Berlin, Germany: Springer-Verlag, 2001, pp. 685-702.
9. S. Kunniyur and R. Srikant, "End-to-end congestion control: Utility functions, random losses and ECN marks," presented at the INFOCOM 2000, Tel Aviv, Israel, Mar. 2000.
10. _, "Analysis and design of an adaptive virtual queue algorithm for active queue management," presented at the ACM Sigcomm, San Diego, CA, Aug. 2001.
11. L. Massoulie, "Stability of distributed congestion control with heterogeneous feedback delays," IEEE Trans. Automat. Contr., vol. 47, pp. 895-902, June 2002.
12. S. Kunniyur and R. Srikant, "A time-scale decomposition approach to adaptive ECN marking," presented at the IEEE INFOCOM 2001, Anchorage, AK, Apr. 2001.
13. L. Massoulie and J. Roberts, "Bandwidth sharing: Objectives and algorithms," presented at the IEEE INFOCOM 1999, New York, NY, Mar. 1999.
14. F. Paganini, J. Doyle, and S. Low, "Scalable laws for stable network congestion control," in Proc. IEEE Conf. Decision Control, Dec. 2001, pp. 185-190.
15. S. Shakkottai and R. Srikant, "Mean FDE models for Internet congestion control," Coordinated Science Lab., Univ. Illinois, Tech Rep., 2002.
16. S. Shakkottai, R. Srikant, and S. Meyn, "Bounds on the throughput of congestion controllers in the presence of feedback delay," in Proc. IEEE Conf. Decision Control, Dec. 2001, pp. 616-621.
17. G. Vinnicombe, "On the stability of end-to-end congestion control for the Internet," Univ. Cambridge, Cambridge, U.K., Tech. Rep., 2001.