We derive decentralized and scalable stability conditions for a fluid approximation of a class of Internet-like communications networks operating a modified form of TCP-like congestion control. The… (More)
In [2] Johari and Tan consider an Internet type network with d stributed congestion control of the form proposed by Kelly et al in [3], and determine a sufficient condition for local stability of the… (More)
Negative feedback is common in biological processes and can increase a system’s stability to internal and external perturbations. But at the molecular level, control loops always involve signalling… (More)
We derive scalable decentralized conditions that can guarantee robust stability for networks of linearly interconnected, stable, linear time invariant dynamical systems. Unlike previous results of… (More)
Life processes in single cells and at the molecular level are inherently stochastic. Quantifying the noise is, however, far from trivial, as a major contribution comes from intrinsic fluctuations,… (More)
We derive decentralized and scalable robust stability conditions for a fluid approximation of a class of Internetlike communications networks operating a modified form of TCP-like congestion control.… (More)
It is established for general linear systems that the gap metric induces the coarsest topology with respect to which both closed-loop stability and closed-loop performance are robust properties. In… (More)