Interval observer fault detection ensuring detectability and isolability by using a set-invariance approach

M Pourasghar, V Puig, C Ocampo-Martinez - IFAC-PapersOnLine, 2018 - Elsevier
This paper proposes the design of an interval observer-based Fault Detection and Isolation (FDI)
algorithm using the set-invariance approach. Using this approach, both fault …

A survey on state estimation of complex dynamical networks

J Hu, C Jia, H Liu, X Yi, Y Liu - International Journal of Systems …, 2021 - Taylor & Francis
… Nevertheless, the zonotope-based set-membership state estimation approach mentioned
above has not yet been presented in the dynamic analysis of CDNs, which may be due to the …

Generalized angle vectors, geometric lattices, and flag-angles

S Backman, S Manecke, R Sanyal - arXiv preprint arXiv:1809.00956, 2018 - arxiv.org
zonotopes. Theorem 1.2 is then used to show that interior/exterior angle vectors of zonotopes
… In Section 4, we show that for a zonotope Z with lattice of flats L, there is a subalgebra IL ⊆ …

Reachable Power Flow: Theory to Practice

Y Zhou, P Zhang - IEEE Transactions on Power Systems, 2020 - ieeexplore.ieee.org
… In this paper, the uncertainty inputs are governed by an unknown-butbounded set U0 , and
zonotope is adopted for set modeling for its efficiency in linear transformation and Minkowski …

Online computation of polytopic flexibility models for demand shifting applications

B Jin, M Maasoumy, P Nuzzo… - 2017 13th IEEE …, 2017 - ieeexplore.ieee.org
… [9] which captures the demand shifting flexibility using zonotopes. Drawing from the zonotope
approach [9], the focus of this paper is to design a control approach under the reserve …

New bounds on the unconstrained quadratic integer programming problem

GD Halikias, IM Jaimoukha, U Malik… - Journal of Global …, 2007 - Springer
… Section 4 establishes a link between these reduced rank QIP problems and the problem
of enumerating the vertices of a zonotope. Section 5 incorporates the semidefinite relaxation …

Robust Data-Driven Predictive Control of Unknown Nonlinear Systems using Reachability Analysis

M Farjadnia, A Alanwar, MUB Niazi, M Molinari… - arXiv preprint arXiv …, 2022 - arxiv.org
… matrix zonotopes resulting from the concatenation of multiple noise zonotopes Zw and Zv
as described in [14]. We further denote the actual, but unknown, state trajectory by X[t−T,t]. D. …

[PDF][PDF] COVERING CONVEX HULLS OF COMPACT CONVEX SETS WITH SMALLER HOMOTHETIC COPIES

S Wu, Y Lv, K Zhang, C He - MATHEMATICAL INEQUALITIES & …, 2022 - files.ele-math.com
… In particular, an upper bound of the covering functional of zonotopes that can be written as
… MARTINI, Some results and problems around zonotopes, In Intuitive geometry (Siófok, 1985)…

A Note on Comparison of Error Correction Codes

DV Djonin - arXiv preprint arXiv:0710.3817, 2007 - arxiv.org
… In Figure 1, we show zonotopes for Z1(E) and Z2(E) for the use of this code in BSC with
probabilities of error p1 = 0.1 and p2 = 0.2, for the first information bit. It is obvious that the Z1(E) …

Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries

A Björner - Building bridges, 2008 - Springer
… Then the complement Rd \ ∪A has the homotopy type of a subcomplex ZH,A of the boundary
of the zonotope ZH. The … The zonotope of the braid arrangement Bn is the permutohedron Z …