Zonotope-based controller synthesis for LTL specifications

W Ren, J Calbert, R Jungers - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
… finite zonotopes and constrained zonotopes to cover the state space. Since the generated
zonotopes and constrained zonotopes … all generated zonotopes and constrained zonotopes to …

Set-based state estimation and fault diagnosis of linear discrete-time descriptor systems using constrained zonotopes

BS Rego, DM Raimondo, GV Raffo - IFAC-PapersOnLine, 2020 - Elsevier
… The algorithms are based on constrained zonotopes, a generalization of zonotopes capable
… of zonotopes. Additionally, unlike other set representations like intervals, zonotopes, …

Actuator fault-tolerance evaluation of linear constrained model predictive control using zonotope-based set computations

C Ocampo-Martinez, P Guerra… - Proceedings of the …, 2007 - journals.sagepub.com
This paper presents a computational procedure to evaluate the fault tolerance of a linear-constrained
model predictive control (LCMPC) scheme for a given actuator fault configuration (…

Zonotopes, toric arrangements, and generalized Tutte polynomials

L Moci - Discrete Mathematics & Theoretical Computer …, 2010 - dmtcs.episciences.org
… We associate to the list X a zonotope, that is a convex polytope … We start by showing the
relations with the zonotope Z(X) … the number of integral points of the zonotope Z(X). Moreover we …

Capacity Lower Bound of Visible Light Communications Precoding on Zonotopes

X Wang, L Xia, Y Yuan, G Liu, Q Wang… - 2022 IEEE Wireless …, 2022 - ieeexplore.ieee.org
… on zonotopes model of channel and then derive the capacity of VLC-MIMO with precoding
when the number of transmitters is greater than receivers. Based on the zonotopes graph, two …

The Vector Balancing Constant for Zonotopes

L Heck, V Reis, T Rothvoss - arXiv preprint arXiv:2210.16460, 2022 - arxiv.org
… We prove that for any zonotope K ⊆ Rd one has vb(K,K) % d logloglogd. … zonotope,
generalizing Vaaler’s Theorem for cubes. We also prove that for two different normalized zonotopes

Zonotope Domains for Lagrangian Neural Network Verification

M Jordan, J Hayase, AG Dimakis, S Oh - arXiv preprint arXiv:2210.08069, 2022 - arxiv.org
… DeepZ zonotopes, the DeepZ zonotopes augmented with IBP bounds, and zonotopes
Then we perform dual ascent over 2-d zonotopes, before merging the zonotopes of the final …

Interval estimation and fault detection for switched nonlinear systems based on zonotope method

C Li, F Zhu, S Guo - Asian Journal of Control, 2022 - Wiley Online Library
This paper investigates the state interval estimation and fault detection (FD) problems for a
Lipschitz nonlinear switched system based on the combination of the H ∞ $$ {H}_{\infty } $$ …

[HTML][HTML] Illumination complexes, Δ-zonotopes, and the polyhedral curtain theorem

RT Živaljević - Computational Geometry, 2015 - Elsevier
… Δ-zonotopes R Δ Generalizing and developing the ideas from Section 2 we introduce Δ-zonotopes
as higher dimensional analogues of the centrally symmetric hexagon, used in the …

Coherence and enumeration of tilings of 3-zonotopes

GD Bailey - Discrete & Computational Geometry, 1999 - Springer
… some (d + 1)-zonotope onto Z. We classify those 3-zonotopes with five or fewer distinct zones
… enumeration formulas for the tilings of the zonotopes in each class. This enumeration relies …