This paper presents both analysis and comparison of the interval observer–based and set‐membership
approaches for the state estimation and fault detection (FD) in uncertain linear …

… zonotopes will be given in Section 2. In this paper, we provide the asymptotic diameter of the
primitive zonotopes … diameter δz(d, k) of a lattice zonotope contained in the hypercube [0,k]d …

… graphs of (n−k)-dimensional zonotopes—and they are for small parameters. Here we explain
that this is since they contain the graphs of zonotopes of this dimension, but that in general …

… In this article, the parameter set is bounded with zonotopes, which include … based on
zonotopes was presented to deal with time-variant systems. This article shows that the zonotope …

This note presents a new method for set-based joint state and parameter estimation of
discrete-time systems using constrained zonotopes. This is done by extending previous set-based …

This paper proposes a methodology for guaranteed state estimation of linear discrete-time
systems in the presence of bounded disturbances and noises. This aims at computing an …

This paper presents the problem of robust fault detection using unknown-input interval
observers. These observers face the robustness problem using two complementary strategies. …

… For this purpose, we start with an overview of the properties of zonotopes. Zonotopes are a
… We will propose an alternative strategy for 2-zonotopes which overcomes this combinatorial …

… constrained zonotopes and constrained polynomial zonotopes … zonotopes can not represent
shapes with smooth boundaries such as ellipsoids, and constrained polynomial zonotopes …

… not a zonotope in general; the same is true for the intersection of two zonotopes. This paper
presents a solution to this problem by transforming the representation of a zonotope first into …