On the stability of networks operating TCP-like congestion control

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 217-222

  Vinnicombe, Glenn ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Communication networks; Complex systems; Robust control

Indexed keywords

AUTOMATION; LARGE SCALE SYSTEMS; ROBUST CONTROL; TELECOMMUNICATION NETWORKS;

COMMUNICATIONS NETWORKS; FLUID APPROXIMATION; PROPAGATION DELAYS; SCALABLE STABILITY; UTILITY FUNCTIONS;

TRANSMISSION CONTROL PROTOCOL;

EID: 84945557362     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00370     Document Type: Conference Paper

References (8)

1. Desoer, C. A. and Y. T. Yang (1980). On the generalized Nyquist stability criterion. IEEE Transactions on Automatic Control 25, 187-196.
2. Johari, R. and D. Tan (2000). End-to-end congestion control for the Internet: delays and stability. Technical report. Statistical Laboratory, University of Cambridge.
3. Kelly, F. (2001a). Stability of a network model of TCP. unpublished notes.
4. Kelly, F. P. (2001b). Mathematics Unlimited - 2001 and Beyond. Chap. Mathematical modelling of the Internet, pp. 685-702. Springer-Verlag, Berlin.
5. Kelly, F. P., A. K. Maulloo and D. K. H. Tan (1998). Rate control in communication networks: shadow prices, proportional fairness, and stability. Journal of the Operational Research Society 49, 237-252.
6. Massoulie, L. (2000). Stability of distributed congestion control with heterogeneous feedback delays. Technical Report MSR-TR-2000-111. Microsoft Research.
7. Vinnicombe, G. (2000). On the stability of end-to-end congestion control for the Internet. Technical Report CUED/F-INFENG/TR.398. Engineering Department, University of Cambridge. http://www-control.eng.cam.ac.uk/gv/internet.
8. Vinnicombe, G. (2002). Robust congestion control for the internet. Submitted to SIGCOMM 2002.