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New Congestion Control Schemes over Wireless Networks: Stability Analysis

Authors:Chen Minghua, University of California, at Berkeley, United States
Abate Alessandro, University of California, at Berkeley, United States
Sastry Shankar, University of California, at Berkeley, United States
Topic:3.3 Computers and Telematics
Session:Wireless Networks for Control
Keywords: communication networks and protocols, flow control, large-scale systems, stability robustness, delay analysis.

Abstract

The objective of this work is to introduce two original flow control schemes for wireless networks. The mathematical underpinnings lie on the recently-developed congestion control models for Transmission-Control-Protocol(TCP)-like schemes; more precisely, the model proposed by Kelly for the wired case will be taken as a template, and properly extended to the more involved wireless setting. We shall introduce two ways to modify a part of the model; these changes are justified by the literature on wireless networks. The first will be through a static law, while the second via a dynamic scheme. In both cases, we shall prove the global stability of the schemes. Furthermore, a convergence rate study and a stochastic analysis will be presented. The completeness of the study advocates the real applicability of the control scheme to different communication protocols and networks.