[BOOK][B] Polytopes and Discrete Geometry
… 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 …
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 …
acceleration with Parallel Kinematic Machines (PKM). This study is based on redundant …
Reach-avoid verification for nonlinear systems based on boundary analysis
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 …
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 …
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, …
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; …
using all combinations of uncertainty vertices is the optimal convex solution to the problem; …
[HTML][HTML] The arithmetic of Coxeter permutahedra
… 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. …
+ … ), 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 …
linear time-invariant systems subject to uncertain initial states and input signals for short time …
Discrete Reachability Analysis With Bounded Error Sets
… 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 …
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 …
paper presents a synthesis approach to observer-based output feedback robust model …