… We present two classes of linear inequalities that the flag fvectors of zonotopes satisfy.
These inequalities strengthen inequalities for polytopes obtained by the lifting technique of …

… For all these reasons, we chose to use zonotopes for our computation. In the following
section, we briefly introduce zonotopes and our algorithm to compute the reachable sets of the …

This paper presents a method for guaranteed state estimation of discrete time piecewise
affine systems with unknown but bounded noise and disturbance. Using zonotopic set …

… Section V introduces zonotopes and the zonotope-based set containment conditions …
zonotope containment condition from [17]. Lemma 1: (Corollary 4 of [17]) Given two zonotopes F = {…

… W and V are represented as zonotopes, and G and Fi are represented as polytopes in
halfspace representation. Moreover, we use polynomial zonotopes to represent reachable sets. In …

This paper presents a novel robust Model Predictive Control (MPC) algorithm for nonlinear
systems represented through quasi-Linear Parameter Varying (qLPV) models. The nominal …

… class of zonotopes we determine the minimal volume of a zonotope containing the … zonotopes
contains a parallelepiped. Based on that link to ±1-matrices, we characterize all zonotopes …

… Then, under an appropriate projection, we get a zonotope … We will chiefly work in the
zonotope setting which allows us to … m onto Vα is a zonotope with vertices in Z m|Vα. Next, take …

… of the zonotope, constrained zonotope and hybrid zonotope … zonotope degenerates into a
constrained zonotope when nb = 0, and a constrained zonotope degenerates into a zonotope …

… Our contribution is an algorithm which constructs these sets by scaling zonotopes … We
will use zonotopes as our parametric representation of viable sets. A zonotope S ⊆ Rd …