… of zonotopes to derive the inverse Fourier transform of indicator functions of general zonotopes
… As we will see in what follows, symmetric polygons happen to be 2-D zonotopes and our …

… ► Initially used zonotopes, a class of sets closed under both linear operations and Minkowski
sum; Can be applied to any “lazy” representation of the sequence of the computed sets …

This article presents a method for complexity reduction in reachability analysis and safety-preserving
controller synthesis via Schur-based decomposition. The decomposition results in …

In this note we prove that the problem of deciding whether or not a set of integer vectors forms
a Hilbert basis is co-NP-complete. Equivalently, deciding whether a conic linear system is …

The “polyhedral product functor” produces a space from a simplicial complex L and a
collection of pairs of spaces, {(A(i), B(i))}, where i ranges over the vertex set of L. We give …

We show that for polytopes P 1 , P 2 , … , P r ⊂ R d , each having n i ⩾ d + 1 vertices, the
Minkowski sum P 1 + P 2 + ⋯ + P r cannot achieve the maximum of ∏ i n i vertices if r ⩾ d . This …

… zonotope - Zonotopes are order 1 Taylor models and vise versa. …

We present a method for complexity reduction in reachability analysis and controller
synthesis via a Schur-based decomposition for LTI systems. The decomposition yields either …

… We now discuss how to enumerate all the extreme points of the zonotope Z(V). Let v j denote
the jth column vector of V. Assume that the regularity condition is satisfied for the zonotope Z…

This paper presents a method to perform parameter and state estimation in a bounded-error
context for nonlinear continuous-time systems with sparse, discrete measurements. Direct …