In this paper, we consider a class of analysis problems for control systems, aimed at safety
falsification, ie, checking whether a controlled trajectory exists that violates a given safety …

This thesis investigates geometric aspects of the notions of conditional independence and
conditional probability. In Chapter 2, we develop the connection between conditional …

This paper studies a conservative transformation defined on families of finite sets. It consists
in removing one element from each set and adding a new set composed of the removed …

IN the last decade linear-parameter-varying (LPV) control has been presented as a reliable
alternative to classical gain scheduling for multivariable systems. Gain scheduling is a …

Suppose we are given a vector f in a class FsubeRopf N , eg, a class of digital signals or
digital images. How many linear measurements do we need to make about f to be able to …

This paper studies a conservative transformation defined on families of finite sets. It consists
in removing one element from each set and adding a new set composed of the removed …

… [10] Curtis Greene, Thomas Zaslavsky, On the interpretation of Whitney numbers through
arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs, …

we present an analysis of gap and flush defects for automotive exterior body panels. We will
consider position deviations of parts and those deviations are traduced through the concept …

If the Euclidean norm|·| is strongly concentrated with respect to a measure µ, the average
distribution of an average marginal of µ has Gaussian asymptotics that captures tail behaviour. …

In this article, we describe some recent results on the hybridization methods for the analysis
of nonlinear systems. The main idea of our hybridization approach is to apply the hybrid …