Remarks on the stability of a class of TCP-like congestion control models

Proceedings of the IEEE Conference on Decision and Control

Volumn 6, Issue , 2003, Pages 5591-5594

  Mazenc, Frédéric ^a   Niculescu, Silviu Iulian ^b  

^a INRIA   (France)

^b UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY VALUE PROBLEMS; FUNCTIONS; INTEGRAL EQUATIONS; INTERNET; LYAPUNOV METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

CONTROL MODELS; LYAPUNOV-KRASOVSKII FUNCTIONALS;

CONTROL SYSTEMS;

EID: 1542378351     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1271892     Document Type: Conference Paper

References (8)

1. Deb, S. and Srikant, R.: Global stability of congestion controllers for the Internet. (2002).
2. Gu, K., and Niculescu, S.-L: Additional dynamics in transformed time delay systems. IEEE Trans. Automat. Contr. 45 (2000) 572-575.
3. Kelly, F. P.: Mathematical modelling of the internet, in Mathematics unlimited - 2001 and beyond (Eds. B. ENGQUIST, W. SCHMID), Springer-Verlag: Berlin (2001) 685-702.
4. Khalil H., Nonlinear systems (Prentice Hall, 2nd edition, 1996, ISBN 0-13-228024-8).
5. Niculescu, S.-L: Delay effects on stability. A robust control approach (Springer-Verlag: Heidelberg, LNCIS, vol. 269, 2001).
6. Niculescu, S.-I. and Annaswamy, A.M.: An adaptive Smith controller for time-delay systems with relative degree n* ≤ 2. Syst. & Contr. Lett. Vol. 49, Issue 5, Pages 347-358, August 2003.
7. Shakkottai, S. and Srikant, R.: How good are deterministic fluid models of internet congestion control, in Proc. IEEE INFOCOM 2002, New York, NY, USA.
8. Shakkottai, S., Srikant, R., and Meyn, S.: Bounds on the throughput of congestion controllers in the presence of feedback delay, in Proc. 40th IEEE Conf. Dec. Contr., Orlando, FL (2001).