Title :
Local-asymptotic stability of a network congestion control system using Lyapunov-Krasovskii methods
Author :
Hobson-Garcia, D. ; Hayakawa, Tomohisa
Author_Institution :
Dept. of Mech. & Environ. Inf., Tokyo Inst. of Technol., Tokyo
Abstract :
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.
Keywords :
Lyapunov matrix equations; asymptotic stability; computer networks; continuous time systems; delay-differential systems; queueing theory; telecommunication congestion control; telecommunication traffic; Lyapunov-Krasovskii functional; computer network; continuous-time fluid flow model; control gain; delay differential system; graph set; local-asymptotic stability; matrix equation; network congestion control system; network stability; network traffic; queue dynamics; Communication system traffic control; Computer networks; Control systems; Delay systems; Equations; Fluid dynamics; Fluid flow; Fluid flow control; Stability; Traffic control; congestion control; time-delay systems; time-domain analysis;
Conference_Titel :
SICE Annual Conference, 2008
Conference_Location :
Tokyo
Print_ISBN :
978-4-907764-30-2
Electronic_ISBN :
978-4-907764-29-6
DOI :
10.1109/SICE.2008.4655153
