On the approximation of centered zonotopes in the plane
S Markov, D Claudio - International Conference on Large-Scale Scientific …, 2003 - Springer
… The present work is devoted to computation with zonotopes in the plane. Using ideas from
the theory of quasivector spaces we formulate an approximation problem for zonotopes and …
the theory of quasivector spaces we formulate an approximation problem for zonotopes and …
Identification for passive robust fault detection of LPV systems using zonotopes
In this paper, the problem of identification for passive robust fault detection when parametric
modeling uncertainty is considered in case the monitored system is represented by a LPV …
modeling uncertainty is considered in case the monitored system is represented by a LPV …
A zonotope-based method for capturing the effect of variable generation on the power flow
X Jiang, AD Domínguez-García - 2014 North American Power …, 2014 - ieeexplore.ieee.org
… this zonotope through a linearized model of the power system. The result is a zonotope …
system static performance, we verify that this zonotope is contained within the region of the static …
system static performance, we verify that this zonotope is contained within the region of the static …
Robust fault detection with unknown input set-membership state estimators and interval models using zonotopes
P Guerra, V Puig, A Ingimundarson… - … Detection, Supervision and …, 2007 - Elsevier
… zonotope based fault detection algorithm described in this paper is applied, being iniatilised
to the initial zonotope: … zonotope inclusion method described in Section 4.2. In this case, the …
to the initial zonotope: … zonotope inclusion method described in Section 4.2. In this case, the …
[HTML][HTML] Zonotope-based interval estimation for discrete-time Markovian jump systems with complex transition probabilities and quantization
Q Tang, W Chen, L Yang - Journal of the Franklin Institute, 2022 - Elsevier
This paper investigates the interval estimation for a class of discrete-time Markovian jump
systems with generally uncertain transition probabilities and unknown-but-bounded …
systems with generally uncertain transition probabilities and unknown-but-bounded …
[PDF][PDF] Extended affine surface area and zonotopes
X Zhu, S Lv, G Leng - Bol. Soc. Mat. Mexicana (3), 2008 - researchgate.net
… is closely related to the properties of zonotopes, and in fact, … and extended affine surface
area, zonotopes) and well-known … In this section, we will introduce the concept of Lp-zonotopes …
area, zonotopes) and well-known … In this section, we will introduce the concept of Lp-zonotopes …
Ellipsotopes: Combining Ellipsoids and Zonotopes for Reachability Analysis and Fault Detection
… , constrained zonotopes and constrained polynomial zonotopes … zonotopes can not represent
shapes with smooth boundaries such as ellipsoids, and constrained polynomial zonotopes …
shapes with smooth boundaries such as ellipsoids, and constrained polynomial zonotopes …
Fast zonotope‐tube‐based LPV‐MPC for autonomous vehicles
… Using zonotope … , zonotopes are used to compute reachable sets and therefore, the tube
to implement the proposed robust MPC approach. The main reason for the use of zonotopes …
to implement the proposed robust MPC approach. The main reason for the use of zonotopes …
Zonotope-based interval estimation for discrete-time linear switched systems
This paper is concerned with the interval estimation for discrete-time linear switched systems
affected by unknown disturbances and noises. A novel interval estimation approach is …
affected by unknown disturbances and noises. A novel interval estimation approach is …
Collision prediction and avoidance for satellite ultra-close relative motion with zonotope-based reachable sets
Z Xu, X Chen, Y Huang, Y Bai… - Proceedings of the …, 2019 - journals.sagepub.com
… study, zonotopes are chosen to represent the RS for their high computation efficiency.
Zonotopes are … are particular zonotopes. The shapes of the satellites can also be represented by …
Zonotopes are … are particular zonotopes. The shapes of the satellites can also be represented by …