This paper concerns the global dynamics of a certain “dual” network congestion control, for which the feedback signal measures a queueing delay at congested links. Earlier studies of this kind of protocol have shown attractive properties of local stability scalable to arbitrary networks, and also global stability results under more restrictive assumptions. All of these have, however, relied on ...

In this paper, we present a numerical integration method to solve singularly perturbed delay differential equations. In this method, we first convert the second order singularly perturbed delay differential equation to first order neutral type delay differential equation and employ the numerical integration. Then, linear interpolation is used to get three term recurrence relation which is solve...

An improved upper bound on the error probability (first error event) of time-invariant convolutional codes, and the resulting error exponent, is derived in this paper. The improved error bound depends on both the delay of the code and its width (the number of symbols that enter the delay line in parallel) . Determining the error exponent of time-invariant convolutional codes is an open problem....

This brief deals with the asymptotic stability of a class of linear time-invariant systems subject to point constant uncommensurate delays. Results are obtained dependent on and independent of the delays which may be tested be performing a finite set of 1-D Routh–Hurwitz tests on a corresponding set of auxiliary delay-free linear time-invariant systems plus some supplementary conditions related...