Computing non-convex inner-approximations of reachable sets for nonlinear continuous systems
N Kochdumper, M Althoff - 2020 59th IEEE Conference on …, 2020 - ieeexplore.ieee.org
… We use the sparse representation of polynomial zonotopes introduced in [19] to represent …
Since C is a polynomial zonotope and all polynomial zonotopes are connected, it holds that C …
Since C is a polynomial zonotope and all polynomial zonotopes are connected, it holds that C …
[PDF][PDF] TUTTE POLYNOMIAL AND EHRHART POLYNOMIAL FOR ZONOHEDRON
SA SALMAN, MM FTEKAN - researchgate.net
… In this paper, we focus on the case when P is a zonotope. Let X be a finite list of vectors in …
is a convex polytope with integer vertices, called the zonotope of X. Zonotopes plays a crucial …
is a convex polytope with integer vertices, called the zonotope of X. Zonotopes plays a crucial …
Verified Polynomial Controller Synthesis for Disturbed Nonlinear Systems
V Gaßmann, M Althoff - IFAC-PapersOnLine, 2021 - Elsevier
… (2021), for which we computed the reachable set using both zonotopes (blue) and polynomial
zonotopes (cyan). This comparison clearly shows the superiority of our novel approach. …
zonotopes (cyan). This comparison clearly shows the superiority of our novel approach. …
Null controllable sets of unstable systems and their application to MPC
A Medioli, M Seron, R Middleton - 2009 European Control …, 2009 - ieeexplore.ieee.org
… ◦ It will be useful for our analysis to study the facet structure of zonotopes. The facets of
zonotopes are (p − 1)-dimensional polytopes that have a close relationship to their generators. …
zonotopes are (p − 1)-dimensional polytopes that have a close relationship to their generators. …
Adaptive threshold generation in robust fault detection using interval models: time‐domain and frequency‐domain approaches
… However, in this paper, an alternative approach based on the use of zonotopes (see …
zonotopes as means to handle the wrapping effect 38. This approach guarantees that the zonotope …
zonotopes as means to handle the wrapping effect 38. This approach guarantees that the zonotope …
Contribution to ellipsoidal and zonotopic set-membership state estimation
D Merhy - 2019 - tel.archives-ouvertes.fr
… Grâce à la flexibilité et la simplicité de calcul qu’ils apportent, les zonotopes sont utilisés
dans la deuxième partie de cette thèse. Le zonotope est un polytope symétrique et peut donc …
dans la deuxième partie de cette thèse. Le zonotope est un polytope symétrique et peut donc …
[PDF][PDF] Scalable Uncertainty Quantification: Exploiting Structure in Models and Data.
… order minimal cubature rule on the zonotope PDF of 2D active subspace of aircraft nozzle
model and 5th order minimal cubature rule on the zonotope Accuracy of moments again tied to …
model and 5th order minimal cubature rule on the zonotope Accuracy of moments again tied to …
Closure of principal L-type domain and its parallelotopes
MD Sikiric, V Grishukhin - arXiv preprint arXiv:1304.2498, 2013 - arxiv.org
… We show that the zonotope Zb(Cn+1) has the type of the Voronoi polytope PV (An) of the
root lattice An. The classical root lattice An is integrally generated by vectors of the root system …
root lattice An. The classical root lattice An is integrally generated by vectors of the root system …
Robust Fault Detection based on Zonotopic Observers for Linear Parameter Varying Systems
… using zonotope techniques due to its geometrical flexibility and the reduced complexity [12].
Fault detection observer method using zonotope … 2, we can compute the error zonotope ed …
Fault detection observer method using zonotope … 2, we can compute the error zonotope ed …
Deformation Cones of Hypergraphic Polytopes
A Padrol, V Pilaud, G Poullot - FPSAC 2022-34th …, 2022 - hal.archives-ouvertes.fr
… zonotope of the complete graph or as the nestohedron of the complete building set. A graphical
zonotope … of ZG is a zonotope, which is the graphical zonotope of a subgraph of G up to …
zonotope … of ZG is a zonotope, which is the graphical zonotope of a subgraph of G up to …