Zonotopes with large 2D-cuts
T Rörig, N Witte, GM Ziegler - Discrete & Computational Geometry, 2009 - Springer
… So, asking for images of zonotopes under projections or for central sections of their duals
does not give anything new: We get again zonotopes resp. duals of zonotopes. The …
does not give anything new: We get again zonotopes resp. duals of zonotopes. The …
A scatter matrix estimate based on the zonotope
GA Koshevoy, J Möttönen, H Oja - Annals of statistics, 2003 - JSTOR
We introduce a new scatter matrix functional which is a multivariate affine equivariant
extension of the mean deviation E(∣x-Med(x)∣). The estimate is constructed using the data …
extension of the mean deviation E(∣x-Med(x)∣). The estimate is constructed using the data …
Sensor fault detection for dynamic point‐the‐bit rotary steerable system via finite‐frequency domain observer and zonotope residual evaluation
In this paper, the sensor fault detection (FD) problem is investigated for the dynamic point‐the‐bit
rotary steerable system (DPRSS), which is known as state‐of‐the‐art oil drilling …
rotary steerable system (DPRSS), which is known as state‐of‐the‐art oil drilling …
Tilings by related zonotopes
H Crapo, M Senechal - Mathematical and Computer Modelling, 1997 - Elsevier
… For any rationally-realizable zonotope 2, the rational realization itself determines a unique
… cells is the zonotope 2. In an effort to find analogous tilings using nonrational zonotopes, we …
… cells is the zonotope 2. In an effort to find analogous tilings using nonrational zonotopes, we …
Safety Verification of Networked Control Systems by Complex Zonotopes
SA Adimoolam, T Dang… - Leibniz Transactions on …, 2021 - hal.archives-ouvertes.fr
… Therefore, we extend zonotopes to the complex valued … of our complex zonotope with
a real 78 zonotope containing … zonotope is successful in verification, the real 81 zonotope …
a real 78 zonotope containing … zonotope is successful in verification, the real 81 zonotope …
The zonotope of a root system
C De Concini, C Procesi - Transformation Groups, 2008 - Springer
We want to explain some formulas appearing in connection with root systems and their
zonotopes which are relevant for the theory of the Kostant partition function. In particular, we …
zonotopes which are relevant for the theory of the Kostant partition function. In particular, we …
Zonotope parameter identification for piecewise affine systems
W Jianhong - Journal of Systems Engineering and Electronics, 2020 - ieeexplore.ieee.org
… In this zonotope parameter identification … zonotope not growing unbounded with iterations
is formulated as an explicit linear matrix inequality. Finally, the effectiveness of this zonotope …
is formulated as an explicit linear matrix inequality. Finally, the effectiveness of this zonotope …
[PDF][PDF] Guaranteed state estimation by zonotopes for systems with interval uncertainties
… Guaranteed state estimation by zonotopes for systems with … Guaranteed state estimation
by zonotopes for systems with … Guaranteed state estimation by zonotopes for systems with …
by zonotopes for systems with … Guaranteed state estimation by zonotopes for systems with …
Set-membership State and Parameter Estimation for Discrete Time-varying Systems Based on the Constrained Zonotope
Z Pan, X Luan, F Liu - International Journal of Control, 2022 - Taylor & Francis
… zonotope that can describe any convex polytope, it inherits the advantages of zonotope and
is more accurate than zonotope… the definition of the constrained zonotope. After that, Section …
is more accurate than zonotope… the definition of the constrained zonotope. After that, Section …
Successor Sets of Discrete-time Nonlinear Systems Using Hybrid Zonotopes
This paper presents identities for calculating over-approximated successor sets of discrete-time
nonlinear systems using hybrid zonotopes. The proposed technique extends the state-…
nonlinear systems using hybrid zonotopes. The proposed technique extends the state-…