Global stability conditions for rate control of discretized model with communication delays
Richard J. La, Priya Ranjan, Eyad H. Abed · 2005
We adopt an optimization framework for the rate allocation problem proposed by Kelly and investigate the stability of a discretized system with arbitrary communication delays between network elements. We show that there is an underlying market structure, and the stability of this market equilibrium is directly related to the stability of the rate control system. We first derive general stability conditions and use them to establish the stability of the system with a family of popular utility and resource price functions. Numerical examples are provided to validate our analyses.