Ellipsoidal toolbox (ET)

AA Kurzhanskiy, P Varaiya - … of the 45th IEEE Conference on …, 2006 - ieeexplore.ieee.org
… Using zonotopes for external approximation of reach sets [19], [20] brings the benefit of a …
zonotope must first be converted to a polytope on which the required operations are performed. …

On the geometry of multivariate L 1 objective functions

GA Koshevoy, J Möttönen - Allgemeines Statistisches Archiv, 2004 - Springer
… of facets of the data based zonotopes and lift zonotopes. Moreover, interchanging the roles
of … To define the concepts of the zonotope and lift zonotope, we need the following notations. …

A general construction for abstract interpretation of higher-order automatic differentiation

J Laurel, R Yang, S Ugare, R Nagel, G Singh… - Proceedings of the …, 2022 - dl.acm.org
… how to automatically construct zonotope transformers for … zonotope domain will be able to
leverage this dependence for improved precision. We can now finally propagate the zonotope

Ellipsoidal constrained state estimation in presence of bounded disturbances

Y Becis-Aubry - 2021 European Control Conference (ECC), 2021 - ieeexplore.ieee.org
This contribution proposes a recursive, computationally efficient, ready-to-use, online
method for the ellipsoidal state characterization for linear discrete-time models with additive …

Predicting state uncertainty for GNSS-based UAV path planning using stochastic reachability

A Shetty, GX Gao - Proceedings of the 32nd International Technical …, 2019 - ion.org
… We introduce a metric for the size of the computed stochastic reachable sets, which are
represented by probabilistic zonotopes. We define a 3σ bound size of a probabilistic zonotope V …

[PDF][PDF] Universal Gröbner bases for designs of experiments

H Maruri-Aguilar - 2005 - core.ac.uk
… Hilbert zonotope, and describe its role in our problem. In Section 5 we give a new theorem
which simplifies the current use of the zonotope … the use of the zonotope to compute universal …

Zonotopic constrained Kalman filter based on a dual formulation

D Merhy, T Alamo, CS Maniu… - 2018 IEEE Conference …, 2018 - ieeexplore.ieee.org
This paper presents a new zonotopic constrained approach for the Kalman filter that takes
advantage of the particular structure of the original optimization problem. This technique …

Resilience analysis of cyber-physical networked microgrids with communication latency

Y Li, D Huang, Y Zhang… - 2021 IEEE Power & Energy …, 2021 - ieeexplore.ieee.org
… , and zonotope. In this work, zonotope approach is adopted to model the changes of
network latency. Figure 1 illustrates the modeling of changes using one-, twoand three-dimensional …

Robust Fault Diagnosis for Uncertain Linear Systems: A Set-Based Geometric Approach

Z Zhang, X He - IEEE Transactions on Instrumentation and …, 2022 - ieeexplore.ieee.org
… In this article, we take advantage of zonotopes to 12 describe the range of variables …
zonotope is an effective tool for dealing with system 87 uncertainties. Therefore, we use zonotopes

Classification of external zonotopal algebras

G Nenashev - arXiv preprint arXiv:1803.09966, 2018 - arxiv.org
… We consider zonotopal ideals, which are associated to zonotopes. These ideals were
independently introduced in two different ways. There are … For a matrix A, we define the zonotope