This talk reports on an analytic derivation of the complete stability region of the Proportional Integral (PI) Active Queue Management (AQM). The stability region represents the entire set of the feasible design parameters, i.e., the proportional and the integral gains, that stabilize the closed-loop TCP-AQM system. AQM controls congestion by proactively marking or dropping packets before the i...

In this paper, we consider an infinitely long viscoelastic thread in a tube filled with a Newtonian fluid. We apply Jeffreys model as the rheological relation for the thread. The thread moves due to a constant pressure gradient, but so slowly that the quasi-static creeping flow approximation is applicable. We investigate the effect of the ratio of viscosities, fluid elasticity, confinement and ...

Applications of scaled telemanipulation into micro or nano world that shows many different features from directly human interfaced tools have been increased continuously. Here, we have to consider many aspects of scaling such as force, position, and impedance. For instance, what will be the possible range of force and position scaling with a specific level of performance and stability? This kno...

This paper proposes a goodness function for colour segmentation, which allows to predict whether the segmented regions will be stable against noise, variation of lighting, and change of viewpoint. As such a measure, colour saliency defined from average border contrast is proposed. While the idea to maximise border contrast in segmentation is not novel per se, it is shown here empirically that m...

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the periodic (and slightly more generally of the quasi-periodic finite-gap) Toda lattice for decaying initial data in the soliton region. In addition, we show how to reduce the problem in the remaining region to the known case without solitons.

A novel scheme for image segmentation is presented. An image segmentation criterion is proposed that gathers similar pixels together to form regions and creates boundaries between two dissimilar regions. This criterion is formulated as a cost function. This cost function is minimized by using gradient-descent methods, which leads to a curve evolution equation that segments the image. The propos...

A sufficient condition for the stability of a system resulting from the interconnection of dynamical systems is given by the small gain theorem. Roughly speaking, to apply this theorem, it is required that the gains composition is continuous, increasing and upper bounded by the identity function. In this work, an alternative sufficient condition is presented for the case in which this criterion...