… For representation of these sets we use zonotopes and for modeling of uncertainties we use
matrix zonotopes, which yields a computationally efficient algorithm. The method is applied …

… Here we introduce the zonotope inclusion operator and then we state the zonotope extension
theorem. Theorem 3. (Zonotope inclusion) Consider a family of zonotopes represented by …

… The fault detection algorithm presented in this paper is based on the use of zonotopes as
an approximated feasible solution set, AFSSN , that fulfills FSSN ⊆ AFSSN for which …

This paper presents a new approach to guaranteed state estimation for nonlinear discrete-time
systems with a bounded description of noise and parameters. The sets of states that are …

… In this chapter, we suggest an alternative to interval analysis based on zonotopes. The
suggested method significantly reduces the complexity of the combined function approximation …

… represented by matrix zonotopes and interval matrices – computational techniques for both
representations are presented. The reachable set is represented by zonotopes, which makes …

… of a zonotope is a specialization of the multiplicity Tutte polynomial introduced in [15]. We
derive some formulae for the volume and the number of integer points of the zonotope. …

… A comparison with a zonotope-based fault detection approach recently proposed in the …
that approximates the feasible parameter by outer zonotopes was proposed in such a way that is …

… A centered zonotope is a zonotope whose center is the origin… zonotopes is also a zonotope
defined by Z = Z1 ⊕ Z2 = [H1 … Property 2: The image of a centered zonotope Z1 = H1Bm1 ∈ …

… the class of zonotopes. … case of zonotopes, we work out bounds on the volume of zonotopes
containing a given crosspolytope in Section 2.2. Since bounding the volume of zonotopes …