In this paper, a leak detection and isolation methodology in pressurized water pipe networks
is proposed. The methodology is based on computing residuals which are obtained …

… For general d, its connection with zonotopes (ie vector sums of line segments) … As the
hyperplane problem is connected with zonotopes [M87, KM89, KM90], the case of median lines (k= …

We give a theoretical result with respect to numerical verification of existence and local
uniqueness of solutions to fixed-point equations which are supposed to have Fréchet …

In this paper, we investigate nonlinear reachability computation in presence of model
uncertainty, via guaranteed set integration. We show how this can be done by using the classical …

A new proof of the Mahler conjecture in R 2 is given. In order to prove the result, we introduce
a new method — the vertex removal method; ie, for any origin-symmetric polygon P , there …

The object of this paper is to present two algebraic results with straightforward proofs, which
have interesting consequences in tropical geometry. We start with an identity for …

A notion of diagnosability for hybrid systems is defined, which generalizes the common notion
of observability. We propose an abstraction procedure to translate a hybrid automaton into …

… Operations on Zonotopes … – Problem: intersection of zonotopes is not a zonotope … –
Minkowski sum increases number of • Polyhedra: constraints • Zonotopes: generators …

… by Andreas Dress at the 1989 “Combinatorics and Geometry” Conference in Stockholm,
provides a bijection between the zonotopal tilings of a fixed d-dimensional zonotope Z and the …

This article presents a study of an algebra spanned by the faces of a hyperplane arrangement.
The quiver with relations of the algebra is computed and the algebra is shown to be a …