Weighted voting, threshold functions, and zonotopes
C Stenson - The Mathematics of Decisions, Elections, and …, 2014 - books.google.com
… zonotope Tn related to these functions and describe its coordinates in terms of a measure of
voting power. We also give a voting interpretation of the coordinates of the derived zonotope …
voting power. We also give a voting interpretation of the coordinates of the derived zonotope …
On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes
M Lenz - Combinatorial Methods in Topology and Algebra, 2015 - Springer
Let X be a list of vectors that is unimodular and let B X be the box spline defined by X. We
discuss the proof of the following conjecture by Holtz and Ron: every real-valued function on …
discuss the proof of the following conjecture by Holtz and Ron: every real-valued function on …
[PDF][PDF] Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids
… Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids
… Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids …
… Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids …
[PDF][PDF] Robust Identification and Fault Diagnosis based on Uncertain LPV MIMO Parity Equations and Zonotopes
… bounded by a zonotope is propagated to the residuals determining their alarm limits
bounded by a zonotope as well. When the residuals are outside of the zonotope that defines the …
bounded by a zonotope as well. When the residuals are outside of the zonotope that defines the …
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 …
IRn× n is psd with rank d≪ n. This problem can be rewritten into the form maxy∈ IRd yT y st …
Design of active inputs for set-based fault diagnosis
… Although the set S is neither a zonotope nor the compliment of zonotopes itself, Theorem
1 shows that it is fully specified by computing and storing the zonotopes Z[ij]. Thus, the …
1 shows that it is fully specified by computing and storing the zonotopes Z[ij]. Thus, the …
[HTML][HTML] Structure results for multiple tilings in 3D
… In the final section, we show that each rational two-flat zonotope admits a very peculiar
non-quasi-periodic \(k\)-tiling. We note that it may be quite difficult to offer a visualization of these \(…
non-quasi-periodic \(k\)-tiling. We note that it may be quite difficult to offer a visualization of these \(…
Assessment of a leak localization algorithm in water networks under demand uncertainty
P Cugueró-Escofet, J Blesa, R Pérez… - IFAC-PapersOnLine, 2015 - Elsevier
… Two consistent approaches to evaluate the effect of demand uncertainty on the decision
result are shown: a Montecarlo approach and a Montecarlo combined with zonotope analysis …
result are shown: a Montecarlo approach and a Montecarlo combined with zonotope analysis …
Guaranteed estimation for distributed networked control systems
… In general, intersections between zonotopes and between zonotope and strip are not … a
zonotope is not a zonotope, but there exist some methods to build a zonotope encompassing the …
zonotope is not a zonotope, but there exist some methods to build a zonotope encompassing the …
A robustness optimization of SRAM dynamic stability by sensitivity-based reachability analysis
… is developed in this paper by zonotope-based reachability analysis. … zonotope to deal with
multiple device parameters with tuning ranges. Moreover, a sensitivity calculation of zonotope …
multiple device parameters with tuning ranges. Moreover, a sensitivity calculation of zonotope …