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
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
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