In other words, when (u; u(0N); 11 1;u(01)) belongs to U , asymptotically periodic inputs produce asymptotically periodic outputs with the same period. The proof of this theorem makes use of a contraction-mapping fixed-point argument. The techniques used in our omitted proofs are also useful in connection with related problems that are " more nonlinear. " In particular, related results are give...

Congestion control in the Available Bit Rate (ABR) class of Asynchronous Transfer Mode (ATM) networks poses interesting challenges due to the presence of delays, magnitude and rate constraints on the inputs and additive disturbances. In this paper, we consider a discrete-time fixed-structure controller for an ATM/ABR switch, also modeled in discrete-time, and solve a robust tracking control pro...

Congestion control in the Available Bit Rate (ABR) class of Asynchronous Transfer Mode (ATM) networks poses interesting challenges due to the presence of multiple-delays, magnitude and rate constraints on the inputs, amplitude limitation on the state, and additive disturbances. In this paper, we consider a fixed-structure controller for an ATM/ABR network, and solve a robust tracking control pr...

Existing bidirectional model transformation languages are mainly state-based: a transformation is considered composed from functions whose inputs and outputs only consist of original and updated models, but alignment relationships between the models are not specified. In the paper we identify and discuss three major problems caused by this under-specification. We then propose a novel formal fra...

T newsvendor model is designed to decide how much of a product to order when the product is to be sold over a short selling season with stochastic demand and there are no additional opportunities to replenish inventory. There are many practical situations that reasonably conform to those assumptions, but the traditional newsvendor model also assumes a fixed salvage value: all inventory left ove...

We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical φ graph, which is equivalent to coupling the model to discretized 2D gravity. The model is interesting from the cellular automaton point of view as it lies midway between a fully quenched automaton with fixed rules and fixed connectivity and a (soluble) fully annealed...