[HTML][HTML] Comparison of guaranteed state estimators for linear time-invariant systems

M Althoff, JJ Rath - Automatica, 2021 - Elsevier
Zonotopes have emerged as a popular set representation since important operations such
… Furthermore, we provide comparisons with ellipsoids and constrained zonotopes as set …

[HTML][HTML] Moving horizon estimation for bounded noises based on the set-membership approach

Z Pan, B Huang, F Liu - Journal of Process Control, 2022 - Elsevier
zonotope technique. An optimization method for computing a tight zonotope enclosure of the
constrained zonotope is … Then the search area is further simplified into an optimal zonotope. …

Active fault detection based on set‐membership approach for uncertain discrete‐time systems

J Wang, Y Shi, M Zhou, Y Wang… - International Journal of …, 2020 - Wiley Online Library
… The main objective of this article is to design an optimal input signal such that the healthy
output zonotope can be separated from the faulty output zonotope for discrete-time systems …

[PDF][PDF] Uncertainty envelopes.

Y Ostrovsky-Berman, L Joskowicz - EuroCG, 2005 - pure.tue.nl
… In Section 3, we describe an arrangement of surfaces which encodes the topology of the
zonotope over all convex combinations of the sites. In Section 4 we use the arrangement to …

Operational-space wrench and acceleration capability analysis for multi-link cable-driven robots

XJ Sheng, L Tang, XJ Huang, LM Zhu, XY Zhu… - Science China …, 2020 - Springer
… -based iterative method and a simplified capability zonotope to analyze the operational-…
the initial capability zonotope based on the Minkowski sum. In the simplified zonotope capability …

[HTML][HTML] Interval estimation for asynchronously switched positive systems

Z Fei, W Chen, X Zhao - Automatica, 2022 - Elsevier
… to characterize the size of state zonotope and derive linear programming conditions. First, …
zonotope. To be more realistic, the mode-dependent weighted PGR of the resulting zonotope

On the sum of the Voronoi polytope of a lattice with a zonotope

M Dutour Sikiric, V Grishukhin, A Magazinov - arXiv e-prints, 2012 - ui.adsabs.harvard.edu
zonotope. In this paper we consider the related question: When is the Minkowski sum of a
general parallelotope and a zonotope $… Using this we classify such zonotopes for some highly …

On Maximization of a Psd Quadratic Form of Low Rank over a Box by Incremental Enumeration of Vertices of a Zonotope and Polynomial-time Approximations of the …

M Cerný, M Rada - hpsc.iwr.uni-heidelberg.de
We consider the problem maxx∈ IRn xT Ax st x∈ C:={ξ: x≤ ξ≤ x}, where x, x∈ IRn and A∈
IRn× n is psd with rank d≪ n. This problem can be rewritten into the form maxy∈ IRd yT y st …

[PDF][PDF] Combining Zonotope Abstraction and Constraint Programming for Finding an Invariant

B Kabi, E Goubault, S Putot - researchgate.net
… [ 2ε1 2ε2 ]T is still a box • In order to use actual zonotopes we tighten S0 as S0 → (S0 ∩ F♯
(S0)) ∪ (S0 ∩ E) [1] … Coverage measure for overlapping zonotopes … Solving the fixed …

Projection volumes of hyperplane arrangements

CJ Klivans, E Swartz - Discrete & Computational Geometry, 2011 - Springer
… As a consequence, we determine that the angle sums of a zonotope are given by the
characteristic polynomial of the order dual of the intersection lattice of the arrangement. …