Stability analysis of some classes of TCP/AQM networks

International Journal of Control

Volumn 79, Issue 9, 2006, Pages 1136-1144

  Michiels, W ^a   Melchor Aguilar, D ^b   Niculescu, S I ^c  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b INSTITUTO POTOSINO DE INVESTIGACIÓN CIENTÍFICA Y TECNOLÓGICA   (Mexico)

^c UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM ANALYSIS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NETWORK PROTOCOLS; QUEUEING NETWORKS;

KRASOVSKII FUNCTIONAL; SUFFICIENT CONDITIONS; TIME-DELAY SYSTEMS; TRANSMISSION CONTROL PROTOCOL/ACTIVE QUEUE MANAGEMENT (TCP/AQM);

DELAY CONTROL SYSTEMS;

EID: 33745809192     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170600810701     Document Type: Article

References (15)

1. I. Barbalat, "Systèmes d'equations differentielles d'oscillations non-lineaires", Rev. Roumaine Math. Pures Appl., 4, pp. 267-270, 1959.
2. K. Gu and S.-I. Niculescu, "Additional dynamics introduced in model system transformation", IEEE Trans. Autom, Com., 45, pp. 572-575, 2000.
3. K. Gu, V.L. Kharitonov and J. Chen, Stability of Time-delay Systems, Birkhäuser, 2003.
4. J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Vol. 99, New York: Springer-Verlag, Applied Mathematical Sciences, 1993.
5. C.V. Hollot and Y. Chait, "Nonlinear stability analysis for a class of TCP/AQM networks", in Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, USA, 2001.
6. C.V. Hollot, V. Misra, D. Towsley and W.B. Gong, "A control theoretic analysis of RED", in Proceedings of IEEE INFOCOM, Anchorage, USA, 2001.
7. C.V. Hollot, V. Misra, D. Towsley and W.B. Gong, "Analysis and design of controllers for AQM routers supporting TCP flows", IEEE Trans. Autom. Cant., 47, pp. 945-959, 2002.
8. V.L. Kharitonov and D. Melchor-Aguilar, "On delay dependent stability conditions", Syst. Cant. Lett., Vol. 40, pp. 71-76, 2000.
9. F.P. Kelly, "Models for a sell-managed Internet", Phil. Trans. Roy. Soc., A358, pp. 2335-2348, 2000.
10. D. Melchor-Aguilar and S.-I. Niculescu, "Remarks on nonlinear stability analysis for some class of TCP/AQM Networks", in Proceedings of the 4th IFAC Workshop an Time Delay Systems, Rocquencourt, France, 2003.
11. W. Miehiels and S.-I. Niculescu, "Stability analysis of a fluid flow models for TCP like behaviour", Inter, J. Bifurc. Chaos, 15, pp. 2277-2282, 2005.
12. V. Misra, W.B. Gong and D. Towsley, "Fluid based analysis of a network of AQM routers supporting TCP flows with an application to RED", in Procceeding of the ACM/SIGCOMM Conference, Stockholm, Sweden, 2000, pp. 151-160.
13. S.-I. Niculescu, Delay Effects on Stability: A Robust Control Approach, Vol. 269, Heidelberg Springer-Verlag: LNCIS, 2001.
14. S.-I. Niculescu and A.M. Annaswamy, "A simple adaptive controller for positive-real systems with time-delay", in Proceedings of the 2000 American Control Conference, Chicago, USA, 2000, pp. 3666-3670.
15. P.-F. Quet and H. Özbay, "On the design of AQM supporting TCP flows using robust control theory", IEEE Trans, Autom. Cont., Vol. 49, pp. 1031-1036, 2004.