[PDF][PDF] Constructing Attractors of Nonlinear Dynamical Systems by State Space Decomposition

L Fribourg, U Kühne, R Soulat - 1st French Singaporean …, 2013 - drops.dagstuhl.de
… The notation is< c, G>, where the first element refers to the center of the zonotope and the
second to the generators. Zonotopes … Thus we need to enlarge any image of a zonotope Z by …

树度量的几何与组合

徐泽瀛 - 2018 - cdmd.cnki.com.cn
… 第三章已经给出了利普西兹多面体是zonotope的刻画,所以一个自然的问题是刻画所有面都是
zonotope的热带复形.一个zonotopal铺砌是指每一个面都是一个zonotope而且所有面的并集是…

Zonotopic fault detection observer design for discrete‐time systems with adaptively adjusted event‐triggered mechanism

X Wang, Z Fei, Z Wang, J Yu - IET Control Theory & …, 2020 - Wiley Online Library
This study addresses the event‐triggered fault detection for a class of discrete‐time systems
with unknown but bounded external disturbance and measurement noise. In order to save …

Determination of reachable flight regions: a zonotopic approach

E Eyang, C Combastel, A Zolghadri - IFAC-PapersOnLine, 2017 - Elsevier
Zonotopes form a class of convex and centrally symmetric polytopic sets whose shape is …
The Minkowski sum and the linear image of a zonotope reduce to elementary matrix opera…

Verification approaches for learning-enabled autonomous cyber-physical systems

HD Tran, W Xiang, TT Johnson - IEEE Design & Test, 2020 - ieeexplore.ieee.org
… In the framework of zonotopes, a verification engine for ReLU neural networks called AI2 …
abstracted as zonotopes, and reasoning about their behaviors use operations over zonotopes. …

[PDF][PDF] On the OLS set in linear regression with interval data

M Cerný, M Rada - Book of abstracts, 2012 - konf.ict.nsc.ru
… The OLS set is a zonotope in the parameter space. We present a method for construction of
… is not surprising as the computation of volume of a zonotope is a# P-hard problem∗), in a …

[PDF][PDF] Multi-factor Productivity and Evolutionary Accounting in Presence of (Persistently) Heterogeneous Firms

… The Zonotopes - two toy examples … Definition of productivity within Zonotope
Ongoing Zonotope project online …

FDI in cyber physical systems: A distributed zonotopic and Gaussian Kalman filter with bit-level reduction

C Combastel, A Zolghadri - IFAC-PapersOnLine, 2018 - Elsevier
… This is detailed in steps 3.7-12 showing how the floating-point shape matrix R of a zonotope
enclosing the initially sent zonotope 〈c, R〉 can be restored from the received binary data: …

Design of optimal interval observers using set‐theoretic methods for robust state estimation

F Xu, J Tan, T Raissi, B Liang - International Journal of Robust …, 2020 - Wiley Online Library
… It is known that the shape and size of a zonotope are determined by its generator matrix.19
We use the F-norm of the generator matrix of a zonotope to describe its size (see Definition 4)…

[PDF][PDF] A polynomial time algorithm for exact maximum likelihood decoding of MIMO channels: a discrete geometric approach

E Khan, D Slock - Proceedings of the Sixth Baiona Workshop on …, 2003 - researchgate.net
… of zonotope. Observe that extreme points which lie inside or on the facets of the zonotope
Thus MLSD is thus reduced to the enumeration of vertices of zonotope j . Now the problem …