Whitney numbers of arrangements via measure concentration of intrinsic volumes
KA Adiprasito, R Sanyal - arXiv preprint arXiv:1606.09412, 2016 - arxiv.org
… We prove that the associated convex bodies (zonotopes for hyperplane arrangements,
discotopes for c-arrangements) have a Wills polynomial resembling the characteristic polynomial …
discotopes for c-arrangements) have a Wills polynomial resembling the characteristic polynomial …
Reachability analysis of nonlinear differential-algebraic systems
… Besides zonotopes, support functions have been shown to be … systems, so we use zonotopes
since they can be used for … order of zonotopes to ρ = 400 and the order of zonotopes for the …
since they can be used for … order of zonotopes to ρ = 400 and the order of zonotopes for the …
[PDF][PDF] Shuffles of deformed permutahedra, multiplihedra, constrainahedra, and biassociahedra
F Chapoton, V Pilaud - Preprint - lix.polytechnique.fr
… In this paper, we will anyway only need Minkowski sums of graphical zonotopes of graphs
with disjoint edge sets. Finally, we briefly describe the graphical zonotopes of complete …
with disjoint edge sets. Finally, we briefly describe the graphical zonotopes of complete …
[HTML][HTML] Determination of the available wrench set of a 3-RPRR kinematically-redundant planar parallel manipulator
… specified by ρ is a zonotope in the wrench space. The AWS of the robot at x , ie W ,
corresponds to the union of the infinite number of W ρ zonotopes that are obtained as the leg …
corresponds to the union of the infinite number of W ρ zonotopes that are obtained as the leg …
Adaptive event-triggered finite-frequency fault detection with zonotopic threshold analysis for LPV systems
J Wang, Z Wang, M Zhou - IEEE Transactions on Cybernetics, 2021 - ieeexplore.ieee.org
… Next, the upper and lower bounds of the generated residual are calculated by the zonotope
… Based on the characteristics of the zonotope and system variables, we can obtain the …
… Based on the characteristics of the zonotope and system variables, we can obtain the …
Robust Feedback Motion Primitives for Exploration of Unknown Terrains
… zonotopes to represent the reachable sets as they are closed under linear transformations;
ie starting from a zonotope set Zx in the state space and having a zonotope … using zonotopes …
ie starting from a zonotope set Zx in the state space and having a zonotope … using zonotopes …
Direct Computing on Control Capability for Linear Continuous-time Systems Based on Hurwitz Matrix
M Zhao - arXiv preprint arXiv:2210.08483, 2022 - arxiv.org
… volume computing method for the smooth controllability zonotope for the linear continuoustime(…
Because the controllability zonotope and ellipsoid are directly related to control capability …
Because the controllability zonotope and ellipsoid are directly related to control capability …
[HTML][HTML] A zonotopic set-invariance analysis of replay attacks affecting the supervisory layer
… Among the possible set representations, zonotopes will be employed in this paper due to …
the invariant sets are represented as zonotopes. Conditions to guarantee attack detectability …
the invariant sets are represented as zonotopes. Conditions to guarantee attack detectability …
Zonotope 表現を用いたハイブリッドシステムの可到達性解析
小木曽公尚 - 自動制御連合講演会講演論文集 第 52 回自動制御連合 …, 2009 - jstage.jst.go.jp
… reachable set in a zonotope for a continuous-time linear system with a switching plane, which
has been proposed in [3,4]. An interesting point is that the zonotope is closed under linear …
has been proposed in [3,4]. An interesting point is that the zonotope is closed under linear …
Robust fault diagnosis using parallelotope-based set-membership consistency tests
… One of the principal features of zonotopes is that the Minkowski sum of a box and a zonotope
is another zonotope. Therefore, if at time k it is known that the parameter belongs to set Zk …
is another zonotope. Therefore, if at time k it is known that the parameter belongs to set Zk …