Set membership state estimation with improved zonotopic description of feasible solution set

W Chai, X Sun, J Qiao - International Journal of Robust and …, 2013 - Wiley Online Library
… An improved intersection algorithm of zonotope and strip is … of zonotopes is first constructed
to contain the intersection of a zonotope and a strip and then the minimal volume zonotope in …

Dynamic output feedback robust MPC via zonotope-based set-membership estimation for general LPV systems

P Xubin, S Ning - 2015 34th Chinese Control Conference (CCC …, 2015 - ieeexplore.ieee.org
The present paper considers a synthesis approach of dynamic output feedback robust model
predictive control (OFRM-PC) for the general linear parameter varying (LPV) system with …

[PDF][PDF] A zonotope library for hybrid systems reachability analysis.

M Glatki - 2014 - ths.rwth-aachen.de
… The generator representation for zonotopes the only representation for zonotopes that is …
Thus, we discuss zonotopes and operations on zonotopes in depth in the next section. …

Zonotopes

M Beck, S Robins - Computing the Continuous Discretely, 2015 - Springer
… In this chapter, we generalize parallelepipeds to projections of cubes—zonotopes, a very
important family of polytopes. We give several theorems about zonotopes, with the goal of …

Closed-form working volume computation and structural optimization of redundant serial robot chains derived from zonotope theory

B Tondu - International Journal of Humanoid Robotics, 2013 - World Scientific
zonotope characterized by the fact that all its facets are parallel two-by-two.This m-zonotope
We deduce the following expression of the volume of our zonotope ZðJÞ that we will denote …

Quadratic Zonotopes: An extension of Zonotopes to Quadratic Arithmetics

A Adjé, PL Garoche, A Werey - arXiv preprint arXiv:1411.5847, 2014 - arxiv.org
zonotopes. We also present a new algorithm based on semi-definite programming to project
a quadratic zonotope… In the current paper, we call them Quadratic Zonotopes to preserve the …

Matroids: h-vectors, zonotopes, and Lawrence polytopes

DA Matthew - 2015 - dialnet.unirioja.es
zonotopes determined by a regular matroid, we reprove the theorem by showing that the
volumes of these zonotopes … -known connection between the zonotope and Lawrence polytope …

Zonotopes and hypertoric varieties

M Arbo - 2015 - search.proquest.com
zonotope, and the natural structure dual to an affine arrangement is a zonotopal tiling. Hence,
we define a construction which takes a zonotope … a zonotope, and all other zonotopes will …

[PDF][PDF] New animations of symmetric patterns based on space-filling zonotopes

L Vörös - 17th Scientific-Professional Colloquium on Geometry … - grad.hr
Planar and spatial symmetry groups are the base of several works in different branches of
art. Our symmetric models of the hypercube and the symmetrically arranged periodical …

Volume inequalities for asymmetric Orlicz zonotopes

F Chen, C Yang, M Luo - arXiv preprint arXiv:1502.06848, 2015 - arxiv.org
… In this paper, we deal with the asymmetric Orlicz zonotopes by using the method of
shadow system. We establish the volume product inequality and volume ratio inequality for …