On finitely determined minimal robust positively invariant sets
… • 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 …
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
… 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…
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
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 …
detection (FD) from a new perspective. Set-based robust FD can be implemented by real-timely …
Estimating feasible nodal power injections in distribution networks
… 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. …
approach—and describe the linearized power-system model utilized for the distribution network. …
Zonotopic reachable set estimation for bilinear systems with time-varying delays
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 …
delays considering state feedback and unknown-but-bounded disturbance. A novel …
Aggregation and disaggregation of energetic flexibility from distributed energy resources
… 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 …
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 …
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
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 …
discrete-time linear systems subject to bounded disturbances and noises. A zonotopic outer …
Design principles for an extendable verification tool for hybrid systems
… 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 …
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 …
zonotopes, and hyperplane arrangements. Finally, in Section 4, we give an application of our …