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Local-asymptotic stability of a network congestion control system using Lyapunov-Krasovskii methods

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2 Author(s)
Hobson-Garcia, D. ; Dept. of Mech. & Environ. Inf., Tokyo Inst. of Technol., Tokyo ; Hayakawa, T.

In this paper we apply the analysis of delay differential systems to congestion control of computer networks. We derive a condition on the control gain that guarantees the stability of the network under a congestion control law using matrix equations and a Lyapunov-Krasovskii functional. We represent the congestion of the network as a set of graphs and use that structure to define a matrix equation that represents the queue dynamics of a computer network. The network model and control are based on a continuous-time fluid flow model of network traffic data rates.

Published in:

SICE Annual Conference, 2008

Date of Conference:

20-22 Aug. 2008