On the stability of a power control algorithm for wireless networks in the presence of time-varying delays - Équipe Méthodes et Algorithmes en Commande
Communication Dans Un Congrès Année : 2009

On the stability of a power control algorithm for wireless networks in the presence of time-varying delays

Résumé

This paper studies the robustness of the well known Foschini-Miljanic power control algorithm with respect to time-varying delays. Since delays are omnipresent in wireless networks, this problem is of practical importance. It has been proven in the past that no matter how large the delays are, the Foschini-Miljanic algorithm still converges. However, this was based on the assumption that the delays are constant over time, which is not always met in practice. Therefore, the problem addressed in this paper is how the algorithm behaves under the time-varying delays case. Firstly, we provide the conditions under which the system is stable by means of a Linear Matrix Inequality (LMI) and using a semi-definite optimization solver we show the validity of our results through illustrative examples.

Domaines

Automatique
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Dates et versions

hal-04559605 , version 1 (25-04-2024)

Identifiants

Citer

Themistoklis Charalambous, Yassine Ariba. On the stability of a power control algorithm for wireless networks in the presence of time-varying delays. European Control Conference (ECC 2009), Aug 2009, Budapest, Hungary. pp.2936-2941, ⟨10.23919/ECC.2009.7074854⟩. ⟨hal-04559605⟩
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