A Distributed Fault Detection Filter based on Zonotopes

B Yang, Y Wang - 2022 41st Chinese Control Conference …, 2022 - ieeexplore.ieee.org
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 …

Illumination complexes,{\Delta}-zonotopes, and the polyhedral curtain theorem

RT Živaljević - arXiv preprint arXiv:1307.5138, 2013 - arxiv.org
… 3 ∆-zonotopes R∆ Generalizing and developing the ideas from Section 2 we introduce ∆-zonotopes
as higher dimensional analogues of the centrally symmetric hexagon, used in the …

Zonotopes, Braids, and Quantum Groups

M Aguiar - Annals of Combinatorics, 2000 - Springer
Various results about the action of the binomial braids and other braid analogs [2] on some
particular higher dimensional representations of the braid groups are presented. These …

Notes on lattice points of zonotopes and lattice-face polytopes

C Bey, M Henk, M Henze, E Linke - arXiv preprint arXiv:1006.5574, 2010 - arxiv.org
Minkowski's second theorem on successive minima gives an upper bound on the volume of
a convex body in terms of its successive minima. We study the problem to generalize …

Zonotope‐based method for optimal allocation of wind capacity in microgrids considering generation uncertainty

J Gao, B Han, L Zhang, C Xu, G Li… - IET Renewable …, 2019 - Wiley Online Library
… :rpg2bf01260-math-0004 is the centre of the zonotope and urn:x-wiley:17521416:media:… of
the zonotope, n is the dimension of the zonotope. A shorthand notation for a zonotope is: urn:x…

A novel zonotopes set membership estimation-based fault diagnosis algorithm

G Xu, Z Wang, Z Ji - Modern Physics Letters B, 2018 - World Scientific
… , this paper adopts the zonotopes set membership estimation to solve the … zonotopes set
membership state estimation to achieve fault diagnosis. Some related symbols about zonotopes

Geometry of multiprimary display colors I: Gamut and color control

G Sharma, CE Rodríguez-Pardo - IEEE Access, 2021 - ieeexplore.ieee.org
… 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

Min-max model predictive control with robust zonotope-based observer

K Witheephanich, L Orihuela… - 2016 UKACC 11th …, 2016 - ieeexplore.ieee.org
This paper considers the problem of robust estimation and constrained model predictive
control (MPC). The paper deals with a discrete linear time-invariant system affected by additive …

Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes

T Finis, E Lapid - Israel Journal of Mathematics, 2014 - Springer
We study the exactness of certain combinatorially defined complexes which generalize the
Orlik-Solomon algebra of a geometric lattice. The main results pertain to complex reflection …

Reachability analysis for a quadrotor UAV based on zonotopes

L Zhang, H Liu - 2022 41st Chinese Control Conference (CCC), 2022 - ieeexplore.ieee.org
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 …