Abstract

In [2] Johari and Tan consider an Internet type network with distributed congestion control of the form proposed by Kelly et al in [3], and determine a sufficient condition for local stability of the network under the condition that all round trip times are equal. They conjecture that the same condition will also guarantee local stability when the round trip times are disparate. The continuous time version of this conjecture is true. Notation # (Z) denotes the spectrum of a square matrix Z and #(Z) its spectral radius. Sets are always indexed by i , and f i is used as an abbreviation for f i : i 1, 2, . . .

Citations

1094	Rate control in communication networks: shadow prices, proportional fairness and stability - Kelly, Maulloo, et al. - 1998
126	End-to-end congestion control for the Internet: Delays and stability - Johari, Tan - 2001
79	Stability of distributed congestion control with heterogeneous feedback delays - Massoulié - 2002
34	On the Generalized Nyquist Stability Criterion - Desoer, Wang - 1980