基于中心对称多胞体的故障可分离性评价

王桢榕, 王振华, 沈毅 - 自动化学报, 2020 - aas.net.cn
… , we propose a new fault isolability method via using zonotopes. To achieve the quantitative
evaluation of fault isolability, zonotopes are converted into polytopes. Specific evaluation …

[HTML][HTML] The robustness of the generalized Gini index

S Settepanella, A Terni, M Franciosi, L Li - Decisions in Economics and …, 2022 - Springer
… 4, we investigate the zonotope approach in production theory proposed in Hildenbrand (1981),
we generalize the Gini volume introduced in Dosi et al. (2016) and we present a SLLN …

Advances in Deterministic Approaches for Bounding Uncertainty and Integrity Monitoring of Autonomous Navigation

J Su, S Schön - Proceedings of the 35th International Technical …, 2022 - ion.org
… In an ideal situation where the OMC values, ie, the midpoint of [e], are zero, a special polytope
can be obtained, in fact a zonotope centered at the initial position x0. Such a zonotope not …

Tutte polynomials of hyperplane arrangements and the finite field method

F Ardila - Handbook of the Tutte Polynomial and Related Topics, 2022 - taylorfrancis.com
… Let A ⊆ Zd be a set of integer vectors and let the zonotope of A be the Minkowski sum of the
… For related results on non-integral zonotopes related to the classical root systems, see [35, …

The tropical and zonotopal geometry of periodic timetables

E Bortoletto, N Lindner, B Masing - arXiv preprint arXiv:2204.13501, 2022 - arxiv.org
… The space Z is a zonotope, and as for a graphical zonotope, … We finish the section by
connecting the zonotope Z with the … We will see that Z is indeed a zonotope in Section 4. Clearly, …

Functional sets with typed symbols: Framework and mixed Polynotopes for hybrid nonlinear reachability and filtering

C Combastel - arXiv preprint arXiv:2009.07387, 2020 - arxiv.org
Verification and synthesis of Cyber-Physical Systems (CPS) are challenging and still raise
numerous issues so far. In this paper, an original framework with mixed sets defined as …

[HTML][HTML] Nonlinear state estimation by extended parallelotope set-membership filter

D Qu, Z Huang, Y Zhao, G Song, K Yi, X Zhao - ISA transactions, 2022 - Elsevier
In this paper, we propose a state estimation method called the Extended Parallelotope Set-Membership
Filter that provides a higher estimation accuracy than existing methods for …

Resilient tube-based MPC for Cyber-Physical Systems Under DoS Attacks

B Aubouin–Pairault, A Perodou, C Combastel… - IFAC-PapersOnLine, 2022 - Elsevier
This paper proposes a resilient and robust model predictive control (MPC) scheme for a
class of Cyber-Physical Systems (CPS) subject to state and input constraints, unknown but …

Set-based Multi-Sensor Data Fusion For Integrated Navigation Systems

S Ifqir, C Combastel, A Zolghadri - 2021 5th International …, 2021 - ieeexplore.ieee.org
… Among these sets, zonotopes have attracted a lot of attention due to a drastic reduction of …
The problem of bounding zonotopes has been extensively investigated, see for example, [3]…

Review on set‐theoretic methods for safety verification and control of power system

Y Zhang, Y Li, K Tomsovic… - IET Energy Systems …, 2020 - Wiley Online Library
… First, the zonotope-based set operating method is applied in the backward to find the largest
… 9 together with the backward reachable set via the zonotope method. The three results are …