Unconditional stability of the Foschini-Miljanic algorithm

Annalisa Zappavigna; Themistoklis Charalambous; Florian Knorn

doi:10.1016/j.automatica.2011.09.051

Unconditional stability of the Foschini-Miljanic algorithm

Annalisa Zappavigna^*, Themistoklis Charalambous, Florian Knorn

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

49 Citations (Scopus)

Abstract

In this note we prove the unconditional stability of the FoschiniMiljanic algorithm. Our results show that the FoschiniMiljanic algorithm is unconditionally stable (convergent) even in the presence of bounded time-varying communication delays, and in the presence of topology changes. The implication of our results may be important for the design of Code Division Multiple Access (CDMA) based wireless networks.

Original language	English
Pages (from-to)	219-224
Number of pages	6
Journal	Automatica
Volume	48
Issue number	1
DOIs	https://doi.org/10.1016/j.automatica.2011.09.051
Publication status	Published - Jan 2012
MoE publication type	A1 Journal article-refereed

Keywords

Changing topology
Positive systems
Power control
Stability
Time-varying delays

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10.1016/j.automatica.2011.09.051

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abstract = "In this note we prove the unconditional stability of the FoschiniMiljanic algorithm. Our results show that the FoschiniMiljanic algorithm is unconditionally stable (convergent) even in the presence of bounded time-varying communication delays, and in the presence of topology changes. The implication of our results may be important for the design of Code Division Multiple Access (CDMA) based wireless networks.",

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AU - Charalambous, Themistoklis

AU - Knorn, Florian

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N2 - In this note we prove the unconditional stability of the FoschiniMiljanic algorithm. Our results show that the FoschiniMiljanic algorithm is unconditionally stable (convergent) even in the presence of bounded time-varying communication delays, and in the presence of topology changes. The implication of our results may be important for the design of Code Division Multiple Access (CDMA) based wireless networks.

AB - In this note we prove the unconditional stability of the FoschiniMiljanic algorithm. Our results show that the FoschiniMiljanic algorithm is unconditionally stable (convergent) even in the presence of bounded time-varying communication delays, and in the presence of topology changes. The implication of our results may be important for the design of Code Division Multiple Access (CDMA) based wireless networks.

KW - Changing topology

KW - Positive systems

KW - Power control

KW - Stability

KW - Time-varying delays

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JO - Automatica

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Unconditional stability of the Foschini-Miljanic algorithm

Abstract

Keywords

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