Adaptive threshold generation in robust fault detection using interval models: time‐domain and frequency‐domain approaches
… However, in this paper, an alternative approach based on the use of zonotopes (see …
zonotopes as means to handle the wrapping effect 38. This approach guarantees that the zonotope …
zonotopes as means to handle the wrapping effect 38. This approach guarantees that the zonotope …
Closure of principal L-type domain and its parallelotopes
MD Sikiric, V Grishukhin - arXiv preprint arXiv:1304.2498, 2013 - arxiv.org
… We show that the zonotope Zb(Cn+1) has the type of the Voronoi polytope PV (An) of the
root lattice An. The classical root lattice An is integrally generated by vectors of the root system …
root lattice An. The classical root lattice An is integrally generated by vectors of the root system …
Static analysis by abstract interpretation of numerical programs and systems, and FLUCTUAT
E Goubault - International Static Analysis Symposium, 2013 - Springer
This invited lecture is a survey of our work over the last 12 years or so, dealing with the precise
analysis of numerical programs, essentially control programs such as the ones found in …
analysis of numerical programs, essentially control programs such as the ones found in …
Sensor fault detection and diagnosis using zonotopic set-membership estimation
… Then, a family of zonotopes which is an outer approximation of the intersection between a
zonotope Z and a strip S is obtained by Z∩S ⊆ ˆZ(λ) = p(λ) ⊕ ˆH(λ)Bm+1 such that p(λ) = p + λ…
zonotope Z and a strip S is obtained by Z∩S ⊆ ˆZ(λ) = p(λ) ⊕ ˆH(λ)Bm+1 such that p(λ) = p + λ…
A polyhedral proof of the matrix tree theorem
A Dall, J Pfeifle - arXiv preprint arXiv:1404.3876, 2014 - arxiv.org
… zonotopes generated by the columns of the matrices M and L and proving that the volumes
of these two zonotopes … Then the volume of the zonotope Z(M), the volume of the zonotope Z(…
of these two zonotopes … Then the volume of the zonotope Z(M), the volume of the zonotope Z(…
Active fault diagnosis using moving horizon input design
DM Raimondo, RD Braatz… - 2013 European Control …, 2013 - ieeexplore.ieee.org
… Zonotopes The methods in this article involve computations with zonotopes, which are …
In generator representation, a zonotope Z is prescribed by its center c ∈ Rn and generators …
In generator representation, a zonotope Z is prescribed by its center c ∈ Rn and generators …
[PDF][PDF] Helical structure of space-filling mosaics based on 3D models of the 5D and 6D cubes
L Vörös - Proceedings of the 9th International Conference on …, 2014 - researchgate.net
Our 3-dimensional framework (3-model) of any k-dimensional cube (kcube) can be produced
either based on starting k edges arranged by rotational symmetry or as sequences of strut-…
either based on starting k edges arranged by rotational symmetry or as sequences of strut-…
[PDF][PDF] Fault detection and isolation based on the combination of a bank of interval observers
… [1], this paper focuses on the representation of uncertainties by zonotopes and the design of
… Section II introduces the notions of zonotopes and invariant sets. Section III introduces the …
… Section II introduces the notions of zonotopes and invariant sets. Section III introduces the …
Slide window bounded-error time-varying systems identification
This technical note presents a new identification method for discrete linear systems with time-varying
parameters based on bounded-error approach. It is assumed a bounded additive …
parameters based on bounded-error approach. It is assumed a bounded additive …
[PDF][PDF] Heterogeneity on production theory: a discrete geometric approach
This paper presents the mathematical and computational details which provide the basis of
the new methodology proposed in Dosi et al. 2013 to assess the level and the evolution of …
the new methodology proposed in Dosi et al. 2013 to assess the level and the evolution of …