A Survey on Reachable Set Techniques for Fault Recoverability Assessment

M Fauré, J Cieslak, D Henry, A Verhaegen… - IFAC-PapersOnLine, 2022 - Elsevier
… two seems particularly suitable: zonotopes with the advantages of fast and exact computation,
but the drawbacks that zonotopes can only represent symmetric convex sets ; and support …

A robustness optimization of SRAM dynamic stability by sensitivity-based reachability analysis

Y Song, MPD Sai, H Yu - 2014 19th Asia and South Pacific …, 2014 - ieeexplore.ieee.org
… 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

Passive robust fault detection using interval MA parity equations: Inverse vs direct image tests

P Guerra, V Puig - IFAC Proceedings Volumes, 2008 - Elsevier
… The fault detection algorithm presented in this paper is based on the use of zonotopes as
an approximated feasible solution set, AFSSN , that fulfills FSSN ⊆ AFSSN for which …

The geometry of random tournaments

M Sanchez, B Kolesnik - arXiv preprint arXiv:2009.09322, 2020 - arxiv.org
… We present short and natural proofs of these results that work for any graph using zonotopes
from convex geometry. A zonotope is a linear image of a cube. Moon’s Theorem follows by …

[HTML][HTML] Set-membership estimation for linear time-varying descriptor systems

W Tang, Z Wang, Q Zhang, Y Shen - Automatica, 2020 - Elsevier
This paper considers the problem of set-membership estimation for discrete-time linear time-varying
descriptor systems subject to unknown but bounded disturbance and noise. We …

[HTML][HTML] A set-membership state estimation algorithm based on DC programming

T Alamo, JM Bravo, MJ Redondo, EF Camacho - Automatica, 2008 - Elsevier
This paper presents a new approach to guaranteed state estimation for nonlinear discrete-time
systems with a bounded description of noise and parameters. The sets of states that are …

Kalman-inspired distributed set-membership observers

RA Garcia, L Orihuela, P Millán… - 2016 European …, 2016 - ieeexplore.ieee.org
… distributed set-membership observation based on zonotopes. The method is able to estimate
… to minimize the Frobenius norm of the prediction zonotope. The simulations show that the …

Zonotopic filtering based operating state estimation for power battery

Y Chen, Z Wang, Y Wang, Z Ji - 2022 41st Chinese Control …, 2022 - ieeexplore.ieee.org
zonotope and state of health lies in an interval, which is also regarded as a one-dimensional
zonotope… by searching an optimal argument based on the zonotope and strip of noise term. …

Analytical factors for describing the control ability of linear discrete-time systems

M Zhao - arXiv preprint arXiv:2004.07982, 2020 - arxiv.org
… In this paper, the analytical volume computations of the zonotopes generated by the matrix
… describe accurately the size and shape of the zonotopes. Because the control ability for LDT …

Expected Number of Vertices of a Hypercube Slice

H Swan - The American Mathematical Monthly, 2016 - Taylor & Francis
… Translations of such sets we also refer to as zonotopes. For a … We note that all of C, F, PN
(C), and PN (F) are zonotopes. For … (·) that the projection of a zonotope is again a zonotope, ie, …