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 …
is then based on checking, at every sampling time, the non existence of a parameter value …
[PDF][PDF] Minkowski addition and Minkowski decomposition of convex lattice polygons in the plane–and mixed volume
IZ Emiris - mathcircle.berkeley.edu
… Problem 1.8 Describe zonotopes, which are Minkowski sums of k non-parallel edges,
hence parallelograms are zonotopes for k = 2. Can you always partition the zonotope into …
hence parallelograms are zonotopes for k = 2. Can you always partition the zonotope into …
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, …
the random n-dimensional zonotope AHN obeys the formula Efk(AHN)/fk(HN) = 1 − PN−n,N−k, …
[PDF][PDF] Implementation of Interval Arithmetic in CORA 2016 (Tool Presentation)
M Althoff, D Grebenyuk - easychair.org
… The set representations that are currently supported are intervals, zonotopes, zonotope
bundles, polynomial zonotopes, and polytopes. CORA also realizes the conversion between the …
bundles, polynomial zonotopes, and polytopes. CORA also realizes the conversion between the …
Approximate Weights
M Bern, D Eppstein… - Algorithms-ESA'95: Third …, 1995 - books.google.com
… We prove that this locus is a convex polytope, the projection of a zonotope in R 4+ 1. We
derive complexity bounds and algorithms for the construction of these" centroid polytopes”. …
derive complexity bounds and algorithms for the construction of these" centroid polytopes”. …
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 …
boundaries with the same parameterization, with a line segment. This is called sweeping the …
[HTML][HTML] Networked microgrid stability through distributed formal analysis
… Instead of using the traditional point-based methods, zonotope technique is adopted in this
paper due to its high accuracy, good compactness of the representation, and low complexity […
paper due to its high accuracy, good compactness of the representation, and low complexity […
Alternative construction techniques
J Richter-Gebert - Realization Spaces of Polytopes, 1996 - Springer
… space of the zonotope Z(V) in the class of zonotopes is stably equivalent to the realization
space of the oriented matroid My. From a realization of Z(V) as a zonotope the configuration V …
space of the oriented matroid My. From a realization of Z(V) as a zonotope the configuration V …
Reachability Analysis of Convolutional Neural Networks
… One is an over-approximation based approach, such as Zonotope and Abstract domain, …
The approximation methods normally apply a geometric object such as Zonotope to …
The approximation methods normally apply a geometric object such as Zonotope to …
Reachable sets for safe, real-time manipulator trajectory design
… zonotopes, a subclass of polytopes amenable to reachable set computation [24]. A zonotope
… We represent Ji with one zonotope per time interval, which is returned by Ji : NT → P(R2 ×K)…
… We represent Ji with one zonotope per time interval, which is returned by Ji : NT → P(R2 ×K)…