The paper is concerned with the boundary controllability of entropy weak solutions to hyperbolic systems of conservation laws. We prove a general result on the asymptotic stabilization of a system near a constant state. On the other hand, we give an example showing that exact controllability in finite time cannot be achieved, in general.

By using concrete scenarios, we present and discuss a new concept of probabilistic Self-Stabilization in Distributed Systems.

Dijkstra’s concept of self-stabilization assumes that faults can only affect the variables of a program. We study the notion of self-stabilization if faults can also affect (i.e., augment) the program code of a system. A code stabilizing system automatically recovers from (almost) arbitrary perturbations of its program code. We prove some lower bounds for code stabilizing systems and argue that...

Let G be the group of projectivities stabilizing a unital U in PG(2, q2). In this paper, we prove that U is a classical unital if and only if there are two points in U such that the stabilizer of these two points in G has order q2 − 1.

We consider dilaton stabilization with R invariance, which insures a vanishing cosmological constant at the scale of stabilization. We construct a few models which accommodate weak gauge couplings with large or small gauge groups. Matter condensation plays a central role in the dilaton stabilization.

Kutten and Patt-Shamir have proposed a method for fast recovery of the output of a non-reactive, distributed protocol: if f < n=2 processors are corrupted from a legitimate global state, then the method recovers the output in O(f) time. The proposed method leaves open the case f n=2. This note presents a technique to handle also the case of f n=2, again recovering the output in O(f) time. The r...