[PDF][PDF] Distances defined by zonoids and statistical tests

L Klebanov, V Benes - INTERNATIONAL JOURNAL OF PURE …, 2008 - researchgate.net
… sum of finitely many centered line segments is called a zonotope. Consider a zonotope
A set Z ∈ C′ is called a zonoid if it is a limit in dH distance of a sequence of zonotopes. …

More about the 52 four-dimensional parallelotopes

M Deza, VP Grishukhin - Taiwanese Journal of Mathematics, 2008 - projecteuclid.org
… Recall, that a zonotope is the Minkowski sum of segments. … zonotopes: the first one between
zonotopes which are themselves parallelotopes and the second one between zonotopes the …

On using distorted sensors for set-based multi-scale actuator fault diagnosis

C Combastel, Q Zhang, SA Raka - IFAC Proceedings Volumes, 2011 - Elsevier
… of two zonotopes Z(R1) and Z(R2) is a zonotope that can be … of a zonotope Z(R) by a linear
application L is a zonotope that … 1) is assumed to be a known zonotope centered on c0 ∈ Rn …

Hierarchical zonotopal power ideals

M Lenz - Discrete Mathematics & Theoretical Computer …, 2011 - dmtcs.episciences.org
… (hyperplane arrangements, zonotopes and tilings of zonotopes), … a certain subset of the set
of integral points in the zonotope … with vectors as we are also interested in the zonotope Z(X). …

Set-membership parity space approach for fault detection in linear uncertain dynamic systems

J Blesa Izquierdo, V Puig Cayuela… - … 2012. 8th IFAC …, 2012 - upcommons.upc.edu
… In particular, in this work the parametric uncertainty is bounded by a zonotope. Fault detection
is then based on checking, at every sampling time, the non existence of a parameter value …

Nonnegativity and Bound Constrains for Compressed Sensing

DL Donoho, J Tanner - SPARS'09-Signal Processing with …, 2009 - hal.archives-ouvertes.fr
… For numerous random matrix ensembles, the expected number of k-dimensional faces of
the random n-dimensional zonotope AHN obeys the formula Efk(AHN)/fk(HN) = 1 − PN−n,N−k, …

Uncertain geometry with dependencies

Y Myers, L Joskowicz - Proceedings of the 14th ACM Symposium on …, 2010 - dl.acm.org
… To move the zonotope from event to event, we connect points on the two zonotope
boundaries with the same parameterization, with a line segment. This is called sweeping the …

Toric surface codes and Minkowski length of polygons

I Soprunov, J Soprunova - SIAM Journal on Discrete Mathematics, 2009 - SIAM
zonotope Z maximal for P has at most 4 different summands. (2) There exists a zonotope Z
… For all such zonotopes that fit into P we look at m1 + m2 + m3 and find the maximal possible …

Adaptive threshold generation for robust fault detection using interval LPV observers

SM de Oca, V Puig - IFAC Proceedings Volumes, 2009 - Elsevier
In this paper, adaptive threshold generation for robust fault detection of nonlinear system
described by means of a Linear Parameter Varying (LPV) model is analyzed. Uncertainties due …

Fault-tolerance Evaluation of Actuator Fault Configurations

C Ocampo-Martinez - Model Predictive Control of Wastewater Systems, 2010 - Springer
… In this section, zonotopes and related operations are used to compute these outer …
complexity of the zonotope. For instance, Figure 8.5 shows the construction of a zonotope from a …