On the scalable stability of nonsymmetric heterogeneous networks

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 4634-4639

  Lestas, Ioannis ^a   Vinnicombe, Glenn ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); INTERNET; MATHEMATICAL MODELS; NETWORK PROTOCOLS; SYSTEM STABILITY;

HETEROGENEOUS DYNAMICAL SYSTEMS; INTERNET CONGESTION CONTROL; NONSYMMETRIC HETEROGENEOUS NETWORKS; SCALABLE STABILITY;

INTERCONNECTION NETWORKS;

EID: 33847215448     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582893     Document Type: Conference Paper

References (14)

1. F. Kelly, A. Maulloo, and D. Tan, "Rate control in communication networks: shadow prices, proportional fairness and stability," Journal of the Operational Research Society, vol, 49, no, 3, pp. 237-252, March 1998.
2. R. Johari and D. Tan, "End-to-End Congestion Control for the Internet: Delays and Stability," IEEE/ACM Transactions on Networking, vol. 9(6), pp. 818-832, 2001.
3. G. Vinnicombe, "On the stability of end-to-end congestion control for the Internet," Cambridge University Engineering Department, Tech. Rep. CUED/F-INFENG/TR.398, 2000.
4. _, "On the stability of networks operating TCP-like congestion control," in IFAC, 2002.
5. F. Paganini, J. Doyle, and S. Low, "Scalable laws for stable network congestion control," in Proceedings of Conference on Decision and Control, December 2001.
6. I. Lestas and G. Vinnicombe, "Are optimization based Internet congestion control models fragile with respect to TCP structure and symmetry?" in IEEE Conference on Decision and Control, 2004.
7. J. Fax and R. Murray, "Graph laplacians and stabilization of vehicle formations," in IFAC, 2002.
8. A. Jadbabai, J. Lin, and S. Morse, "Coordination of groups of agents using nearest neighbour rules," IEEE Transactions On Automatic Control, .Tun 2003.
9. R. O. Saber and R.M.Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Transactions On Automatic Control on Networked Control Systems, 2004.
10. P.Moylan and D.Hill, "Stability criteria for large-scale systems," IEEE Trans. Aut. Control, vol. AC-23, no. 2, pp. 143-149, 1978.
11. I. Lestas and G. Vinnicombe, "Scalable robustness for consensus protocols with heterogeneous dynamics," in IFAC, July 2005, to appear.
12. R. Horn and C. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991.
13. K. Gustafson and D. Rao, Numerical Range: The field of values of linear operators and matrices. Springer-Verlag New York, 1997.
14. C. Godsill and G. Royle, Algebraic Graph Theory. Springer-Verlag New York, 2001.