On finitely determined minimal robust positively invariant sets

MM Seron, S Olaru, F Stoican… - 2019 Australian & …, 2019 - ieeexplore.ieee.org
… • when the system has real eigenvalues and the disturbance set is a zonotope with
generators aligned with the … In this paper we consider zonotopes centered at c = 0, hence …

Sensor fault detection and diagnosis using zonotopic set-membership estimation

SB Chabane, CS Maniu, T Alamo… - … on Control and …, 2014 - ieeexplore.ieee.org
… Then, a family of zonotopes which is an outer approximation of the intersection between a
zonotope Z and a strip S is obtained by Z∩S ⊆ ˆZ(λ) = p(λ) ⊕ ˆH(λ)Bm+1 such that p(λ) = p + λ…

A Novel Method Designing Optimal Observer Gain for Robust Fault Detection

J Tan, X Wang, X Han, W Yang, B Liang - IFAC-PapersOnLine, 2022 - Elsevier
This paper considers the design of optimal gain of set-value observer for robust fault
detection (FD) from a new perspective. Set-based robust FD can be implemented by real-timely …

Estimating feasible nodal power injections in distribution networks

A Al-Digs, SV Dhople, YC Chen - 2016 IEEE Power & Energy …, 2016 - ieeexplore.ieee.org
… In this section, we introduce zonotopes—the geometric objects that are key to our
approach—and describe the linearized power-system model utilized for the distribution network. …

Zonotopic reachable set estimation for bilinear systems with time-varying delays

Z Zhang, Z Wang, Y Wang, Y Shen… - International Journal of …, 2021 - Taylor & Francis
This paper studies reachable set estimation for bilinear discrete-time systems with time-varying
delays considering state feedback and unknown-but-bounded disturbance. A novel …

Aggregation and disaggregation of energetic flexibility from distributed energy resources

FL Müller, J Szabó, O Sundström… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
… First, Z (agg) is a zonotope because zonotopes are closed under Minkowski addition.
Second, if systems are added to or removed from the population or if individual feasible sets …

[PDF][PDF] EXAMPLE OF CUBE SLICES THAT ARE NOT ZONOIDS

R Anantharaman - Scientiae Mathematicae Japonicae, 2019 - researchgate.net
… A zonoid is range of a non atomic vector measure and above all the classical Liapunovs
Theorem:- A zonoid is compactand convex A zonotope is sum of segments( each centered at …

[HTML][HTML] Zonotopic set-membership state estimation for switched systems

S Ifqir, P Vicenç, I Dalil, AO Naima, M Saïd - Journal of the Franklin Institute, 2022 - Elsevier
This paper proposes a new approach for set-membership state estimation of switched
discrete-time linear systems subject to bounded disturbances and noises. A zonotopic outer …

Design principles for an extendable verification tool for hybrid systems

G Frehse, R Ray - IFAC Proceedings Volumes, 2009 - Elsevier
zonotopes Minkowski sum is cheap and the intersection of two zonotopes is not generally a
zonotope. … For example, the image of an affine map is cheap for zonotopes and polyhedra in …

Weak order complexes

S Ovchinnikov - arXiv preprint math/0403191, 2004 - arxiv.org
… They are combinatorially equivalent under the usual connection between zonotopes, polar
zonotopes, and hyperplane arrangements. Finally, in Section 4, we give an application of our …