Interpolation, box splines, and lattice points in zonotopes
M Lenz - International Mathematics Research Notices, 2014 - ieeexplore.ieee.org
Let X be a totally unimodular list of vectors in some lattice. Let B X be the box spline defined
by X. Its support is the zonotope Z(X). We show that any real-valued function defined on the …
by X. Its support is the zonotope Z(X). We show that any real-valued function defined on the …
Set-membership state estimation for discrete time piecewise affine systems using zonotopes
SM Tabatabaeipour, J Stoustrup - 2013 European Control …, 2013 - ieeexplore.ieee.org
This paper presents a method for guaranteed state estimation of discrete time piecewise
affine systems with unknown but bounded noise and disturbance. Using zonotopic set …
affine systems with unknown but bounded noise and disturbance. Using zonotopic set …
[HTML][HTML] On the sum of a parallelotope and a zonotope
MD Sikirić, V Grishukhin, A Magazinov - European Journal of …, 2014 - Elsevier
… parallelotope P and a zonotope Z ( U ) , where U is the set of vectors used to generate the
zonotope. In this … Using this we classify such zonotopes for some highly symmetric lattices. …
zonotope. In this … Using this we classify such zonotopes for some highly symmetric lattices. …
An asynchronous technique for distributed estimation based on zonotopes
This paper deals with the problem of guaranteed distributed estimation under an asynchronous
communication scheme. The objective is to estimate the state of a perturbed linear plant …
communication scheme. The objective is to estimate the state of a perturbed linear plant …
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 …
[HTML][HTML] Illumination complexes, Δ-zonotopes, and the polyhedral curtain theorem
RT Živaljević - Computational Geometry, 2015 - Elsevier
… Δ-zonotopes R Δ Generalizing and developing the ideas from Section 2 we introduce Δ-zonotopes
as higher dimensional analogues of the centrally symmetric hexagon, used in the …
as higher dimensional analogues of the centrally symmetric hexagon, used in the …
Polar root polytopes that are zonotopes
P Cellini, M Marietti - arXiv preprint arXiv:1502.06377, 2015 - arxiv.org
… and call Zonp(S) the zonotope generated by S with center p. Thus a zonotope in U is a … We
prove that, for An and Cn, the polar root polytope P∗ is the zonotope generated by the orbit of …
prove that, for An and Cn, the polar root polytope P∗ is the zonotope generated by the orbit of …
Zonotope-based nonlinear model order reduction for fast performance bound analysis of analog circuits with multiple-interval-valued parameter variations
… zonotope-based model for multiple-interval-valued parameter variations. As such, one can
have a zonotope-… to approximate a number of zonotopes along the set of trajectories, one can …
have a zonotope-… to approximate a number of zonotopes along the set of trajectories, one can …
Congruence and metrical invariants of zonotopes
E Gover - arXiv preprint arXiv:1401.4749, 2014 - arxiv.org
… The defining matrix A of a zonotope Z(A) ⊂ Rn determines the zonotope as both … zonotope
is also a convex polytope with centrally symmetric faces in all dimensions. When a zonotope …
is also a convex polytope with centrally symmetric faces in all dimensions. When a zonotope …
A CSP versus a zonotope-based method for solving guard set intersection in nonlinear hybrid reachability
M Maïga, N Ramdani, L Travé-Massuyès… - … in Computer Science, 2014 - Springer
… For completeness, we overview a preliminary version of an algorithm based on solving a
CSP, then we introduce a variant using zonotopes. These two methods will be compared on the …
CSP, then we introduce a variant using zonotopes. These two methods will be compared on the …