Global stability conditions for rate control with arbitrary communication delays

Author

La, Richard J. ; Ranjan, Priya ; Abed, Eyad H.

Volume

5

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

4998

Abstract

We analyze the optimization framework for the rate allocation problem proposed by Kelly and investigate the stability of the system with arbitrary fixed communication delays between network elements. We show that there is an underlying discrete time system arising from a natural market structure. The stability of this market equilibrium is directly related to the stability of the rate control system. We first present general stability conditions of the system with arbitrary delays, and then apply these results to establish the stability of the system with a family of popular utility and resource price functions of interest to us.

Keywords

delays; discrete time systems; optimisation; stability; telecommunication control; arbitrary communication delays; discrete time system; global stability conditions; market equilibrium; network elements; optimization framework; rate allocation problem; rate control; resource price functions; utility functions; Communication system control; Control systems; Delay effects; Delay systems; Differential equations; Discrete time systems; Feedback; Robust stability; Stability analysis; Traffic control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1429598

Filename

1429598