This tutorial is about new system analysis techniques that were developed in the past few
years based on the sum of squares decomposition. We present stability and robust stability …

Congestion control algorithms were implemented for the Internet nearly two decades ago,
but mathematical models of congestion control in such a large-scale network are relatively …

We describe FAST TCP, a new TCP congestion control algorithm for high-speed long-
latency networks, from design to implementation. We highlight the approach taken by FAST …

As the Internet becomes increasingly heterogeneous, the issue of congestion control
becomes ever more important. In order to maintain good network performance, mechanisms …

This paper is aimed at designing a congestion control system that scales gracefully with
network capacity, providing high utilization, low queueing delay, dynamic stability, and …

This paper introduces and analyzes a decentralized network congestion control algorithm
which has dynamic adaptations at both user ends and link ends, a so-called general primal …

In this paper, we study the problem of designing globally stable, scalable congestion control
algorithms for the Internet. Prior work has primarily used linear stability as the criterion for …

We derive scalable decentralized conditions that can guarantee robust stability for networks
of linearly interconnected, stable, linear time invariant dynamical systems. Unlike previous …

The invention provides a congestion control scheme that is a delay based scheme that
includes a scalable queue size and one-way queueing delay measurement to reduce …

Safe Adaptive Control gives a formal and complete algorithm for assuring the stability of a
switched control system when at least one of the available candidate controllers is …