Power Control in Wireless Networks: Stability and Delay Independence for a General Class of Distributed Algorithms

Author

Lestas, Ioannis

Author_Institution

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

Volume

57

Issue

5

fYear

2012

fDate

5/1/2012 12:00:00 AM

Firstpage

1253

Lastpage

1258

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; asymptotic stability; delay systems; multidimensional systems; power control; radio networks; telecommunication control; time-varying systems; Lyapunov Razumikhin function; asymptotic stability; contraction property; delay independence; distributed algorithm; distributed power control algorithm; infinite dimensional character; steady state power allocation; time varying heterogeneous delay; wireless network; Asymptotic stability; Convergence; Delay; Interference; Scalability; Stability analysis; Vectors; Decentralized control; delays; large scale systems; network analysis and control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2011.2173776

Filename

6062383