Global stability conditions for rate control of discretized model with communication delays

Author

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

Author_Institution

Maryland Univ., MD, USA

Volume

3

fYear

2004

fDate

29 Nov.-3 Dec. 2004

Firstpage

1396

Abstract

We adopt an optimization framework for the rate allocation problem proposed by Kelly and investigate the stability of a discretized system with arbitrary communication delays between network elements. We show that there is an underlying market structure, and the stability of this market equilibrium is directly related to the stability of the rate control system. We first derive general stability conditions and use them to establish the stability of the system with a family of popular utility and resource price functions. Numerical examples are provided to validate our analyses.

Keywords

delays; information theory; optimisation; stability criteria; telecommunication networks; utility theory; AQM; active queue management mechanisms; discretized system stability; elastic traffic; global rate control stability conditions; market structure equilibrium; network element arbitrary communication delays; rate allocation problem optimization; rate control system stability; resource price functions; utility functions; Communication system control; Control systems; Convergence; Delay; Differential equations; Mobile communication; Satellites; Spread spectrum communication; Stability; Traffic control;

fLanguage

English

Publisher

ieee

Conference_Titel

Global Telecommunications Conference, 2004. GLOBECOM '04. IEEE

Print_ISBN

0-7803-8794-5

Type

conf

DOI

10.1109/GLOCOM.2004.1378213

Filename

1378213