[BOOK][B] Polytopes and Discrete Geometry

G Cunningham, M Mixer, E Schulte - 2021 - ams.org
zonotopes by Antoine Deza, Lionel Pournin, and Rado Rakotonarivo provides geometric and
combinatorial properties for primitive zonotopes… vertices of a primitive zonotope that can be …

Towards 100G with PKM. Is actuation redundancy a good solution for pick-and-place?

D Corbel, M Gouttefarde, O Company… - … on Robotics and …, 2010 - ieeexplore.ieee.org
This paper analyzes the possible contribution of actuation redundancy in obtaining very high
acceleration with Parallel Kinematic Machines (PKM). This study is based on redundant …

Reach-avoid verification for nonlinear systems based on boundary analysis

B Xue, A Easwaran, NJ Cho… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
In this technical note, we propose a set-boundary based method to verify reach-avoid
properties of non-linear dynamical systems with parametric uncertainty, which works under the …

[PDF][PDF] Fault diagnosis and fault tolerant control using set-membership approaches: Application to real case studies

V Puig - 2010 - zbc.uz.zgora.pl
… for the geometrical complexity of the zonotopes (see Fig. 2 for a zonotope of order 14). …
In order to reduce the complexity of Algorithm 1, the zonotope that bounds Θk can be …

[PDF][PDF] Nonlinear discrete optimization

S Onn - Zurich Lectures in Advanced Mathematics, European …, 2010 - ie.technion.ac.il
… Construct the zonotope Z generated by the projection w●E, … Construct the zonotope Z
generated by the projection w●E, … Construct the zonotope Z generated by the projection w●E, …

[HTML][HTML] Set-valued estimators for Uncertain Linear Parameter-Varying systems

D Silvestre - Systems & Control Letters, 2022 - Elsevier
… We show that performing the convex hull for all polytopes or constrained zonotopes obtained
using all combinations of uncertainty vertices is the optimal convex solution to the problem; …

[HTML][HTML] The arithmetic of Coxeter permutahedra

F Ardila, M Beck, J McWhirter - Revista de la Academia Colombiana …, 2020 - scielo.org.co
… the zonotope is not integral. However, we can still describe it for almost integral zonotopes v
+ … ), which are obtained by translating an integral zonotope Z (U) by a rational vector on 2.1. …

Conservative time discretization: a comparative study

M Forets, C Schilling - International Conference on Integrated Formal …, 2022 - Springer
We present the first review of methods to overapproximate the set of reachable states of
linear time-invariant systems subject to uncertain initial states and input signals for short time …

Discrete Reachability Analysis With Bounded Error Sets

JA Siefert, DD Leister, JP Koeln… - IEEE Control Systems …, 2021 - ieeexplore.ieee.org
… We define the complexity of a zonotope as the number of generators ng. A zonotope is centrally
symmetric and given by all … ear mapping and Minkowski sum for zonotopes in G-rep are …

[HTML][HTML] Observer-based output feedback robust MPC via zonotopic set-membership state estimation for LPV systems with bounded disturbances and noises

X Ping, S Yang, B Ding, T Raissi, Z Li - Journal of the Franklin Institute, 2020 - Elsevier
For linear parameter varying (LPV) systems with bounded disturbances and noises, this
paper presents a synthesis approach to observer-based output feedback robust model …