Stability analysis and design of the second-order congestion control for networks with heterogeneous delays

IEEE/ACM Transactions on Networking

Volumn 13, Issue 5, 2005, Pages 1082-1093

  Tian, Yu Ping ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Congestion control; Heterogeneous delays; Internet; Stability

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; FREQUENCY DOMAIN ANALYSIS; INTERNET; LAPLACE TRANSFORMS; MATRIX ALGEBRA; TELECOMMUNICATION LINKS; THEOREM PROVING; TRANSFER FUNCTIONS;

COMMUNICATION DELAYS; HETEROGENEOUS DELAYS; RANDOM EXPONENTIAL MARKING (REM); STABILITY ANALYSIS;

CONGESTION CONTROL (COMMUNICATION);

EID: 18444397639     PISSN: 10636692     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNET.2005.857069     Document Type: Article

References (15)

1. S. Athuraliya, S. H. Low, V. H. Li, and Q. Yin, "REM: Active queue management," IEEE Networks, vol. 15, no. 3, pp. 48-53, May 2001.
2. C. A. Desoer and Y. T. Yang, "On the generalized Nyquist stability criterion," IEEE Trans. Autom. Control, vol. AC-25, no. 1, pp. 187-196, Feb. 1980.
3. I. Horowitz and S. Ben-Adam, "Clockwise nature of Nyquist locus of stable transfer functions," Int. J. Control, vol. 49, pp. 1433-1436, 1989.
4. R. Johari and D. Tan, "End-to-end congestion control for the internet: Delays and stability," IEEE/ACM Trans. Netw., vol. 9, no. 6, pp. 818-832, Dec. 2001.
5. F. P. Kelly, A. Maulloo, and D. Tan, "Rate control for communication networks: Shadow prices, proportional fairness, and stability," J. Oper. Res. Soc., vol. 49, pp. 237-252, 1998.
6. S. H. Low and D. E. Lapsley, "Optimization flow control - I: Basic algorithm and convergence," IEEE/ACM Trans. Netw., vol. 7, no. 6, pp. 861-874, Dec. 1999.
7. S. H. Low, F. Paganini, and J. C. Doyle, "Internet congestion control," IEEE Control Syst. Mag., vol. 22, no. 1, pp. 28-43, Feb. 2002.
8. L. Massoulie, "Stability of distributed congestion control with heterogeneous feedback delays," IEEE Trans. Autom. Control, vol. 47, no. 6, pp. 895-902, Jun. 2002.
9. F. Paganini, "A global stability result in network flow control," Syst. Control Lett., vol. 46, pp. 165-172, 2002.
10. F. Paganini, "On the stability of optimization-based flow control," in Proc. Amer. Control Conf., Arlington, VA, 2001, http://www.ee.ucla.edu/-paganini/PS/-remproof.ps.
11. D. Tan, "Mathematical models of rate control for communication networks," Ph.D. dissertation, Univ. Cambridge, Cambridge, U.K., Aug. 1999.
12. A. Tesi, A. Vicino, and G. Zappa, "Clockwise property of the Nyquist plot with implications for absolute stability," Automatica, vol. 28, pp. 71-80, 1992.
13. Y.-P. Tian and H.-Y. Yang, "Stability of the internet congestion control with diverse delays," Automatica, vol. 40, pp. 1533-1541, 2004.
14. G. Vinnicombe, "On the Stability of End-to-End Congestion Control for the Internet," Univ. Cambridge, Tech. Rep. CUED/F-INFENG/TR. no. 398, 2000.
15. Q. Yin and S. H. Low, "On stability of REM algorithm with uniform delay," in Proc. IEEE GLOBECOM, vol. 3, 2002, pp. 2649-2653.