… known as zonotopes is derived from intervals [6]. Zonotopes have been used to over
approximate the reachable set of dynamic systems [7], [8]. However zonotopes are not closed under …

… zonotopes for computing outer-approximations of reachable sets for nonlinear continuous
systems. Next, we show that with sparse polynomial zonotopes … polynomial zonotopes, we …

… use zonotopes, a sub-polyhedric domain that shows a good compromise between cost and
precision. As zonotopes … on zonotopes, such as a novel splitting algorithm based on paving …

… computing the vertices of a zonotope from its set of generators… recovers the generators of a
zonotope from its set of vertices. … set, is a zonotope and when it is not a zonotope, to compute …

… Zonotope We propose the state bounding zonotopes Xi(k) for each agent, i = 1,...,l, ∀ ∈ N,
and the coupled states are considered in the zonotope. The … by the initial zonotopes, thus the …

… of the multiprimary gamut zonotope. Our characterization immediately … zonotopes, we
highlight how our work on gamut representations connects with and furthers the study of zonotopes …

This manuscript introduces a finite collection of generalized permutohedra associated to a
simple graph. The first polytope of this collection is the graphical zonotope of the graph and …

The issue of obtaining an optimal solution for a quadrotor UAV system is investigated in this
paper for a set of initial states. The reachable set of states can be calculated if an initial set is …

… (order of the zonotopes) along with the computational cost. Therefore, a zonotope order
reduction is necessary for real-time applicability. In this paper, a new zonotope order reduction …

… In this paper, we use zonotopes to achieve more scalable algorithms … zonotopes are not
closed under such operations. We underapproximate this Minkowski difference with a zonotope, …