Distributed power control in wireless networks: stability and delay independence

Author

Lestas, Ioannis

Author_Institution

Dept. of Eng., Univ. of Cambridge, Cambridge, UK

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

7074

Lastpage

7079

Abstract

We show that for a general class of distributed power control algorithms in wireless networks, if a feasible steady state power allocation exists, this is asymptotically stable for arbitrary gains and time varying heterogeneous delays. The analysis exploits certain contraction properties of the interference in such algorithms, and makes use of Lyapunov Razumikhin functions to address the infinite dimensional character of the problem.

Keywords

Lyapunov methods; delays; interference (signal); low-power electronics; power control; radiocommunication; stability; time-varying systems; Lyapunov Razumikhin functions; arbitrary gains; asymptotically stable; delay independence; distributed power control algorithms; infinite dimensional character; interference; stability; steady state power allocation; time varying heterogeneous delays; wireless networks; Algorithm design and analysis; Control systems; Convergence; Delay effects; Interference; Large-scale systems; Power control; Stability; Steady-state; Wireless networks; control of network; decentralized control; delays; large scale systems; wireless networks;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400497

Filename

5400497