The least-used direction pivot rule on acyclic unique sink orientations
T Deering - 2011 - escholarship.mcgill.ca
… A related, but not necessarily simple, class of polytopes is the zonotopes. A zonotope is
the affine projection of an n-dimensional hypercube onto d < n dimensional space. For a non-…
the affine projection of an n-dimensional hypercube onto d < n dimensional space. For a non-…
[PDF][PDF] Constrained control: Computations, performance and robustness
M Barić - 2008 - research-collection.ethz.ch
… Vectors {vi}, i ∈ Np are often called generators of the zonotope Z. The following result is
particularly useful in optimization problems involving inclusions of polyhedra. It is a direct …
particularly useful in optimization problems involving inclusions of polyhedra. It is a direct …
[BOOK][B] Topics in hyperplane arrangements, polytopes and box-splines
C De Concini, C Procesi - 2010 - books.google.com
… In order to describe the regions where the partition function is a quasipolynomial, one needs
to introduce a basic geometric and combinatorial object: the zonotope B(X) generated by X. …
to introduce a basic geometric and combinatorial object: the zonotope B(X) generated by X. …
Interval observer design based on nonlinear hybridization and practical stability analysis
In this paper we design an interval observer for nonlinear uncertain continuous‐time dynamical
systems, in the unknown‐but‐bounded error framework. We show how to generate two …
systems, in the unknown‐but‐bounded error framework. We show how to generate two …
Switching systems: Active mode recognition, identification of the switching law
… The determination of a zonotope characterizing the set of acceptable solutions is
equivalent to the determination of the parameters hij in an interval form. For that, many optimization …
equivalent to the determination of the parameters hij in an interval form. For that, many optimization …
[HTML][HTML] Set membership parameter estimation of fractional models based on bounded frequency domain data
This paper deals with parameter estimation of fractional models based on frequency domain
uncertain but bounded data. Fractional models parameters, including differentiation orders, …
uncertain but bounded data. Fractional models parameters, including differentiation orders, …
A novel sequential Monte Carlo approach for extended object tracking based on border parameterisation
N Petrov, L Mihaylova, A Gning… - … on Information Fusion, 2011 - ieeexplore.ieee.org
Extended objects are characterised with multiple measurements originated from different
locations of the object surface. This paper presents a novel Sequential Monte Carlo (SMC) …
locations of the object surface. This paper presents a novel Sequential Monte Carlo (SMC) …
[HTML][HTML] Minkowski length of 3D lattice polytopes
O Beckwith, M Grimm, J Soprunova… - Discrete & Computational …, 2012 - Springer
… lattice translate of the zonotope Z m =n 1 E 1 +⋯+n 7 E 7 is contained in P (we run through
lattice points F in P to check if F+Z m is contained in P). For all such zonotopes that fit into P …
lattice points F in P to check if F+Z m is contained in P). For all such zonotopes that fit into P …
Robustness of model-based simulations
G Fainekos, S Sankaranarayanan… - 2009 30th IEEE Real …, 2009 - ieeexplore.ieee.org
… The papers [11] and [2] deal with the reachability analysis of continuous-time hybrid systems
based on zonotope representations of the state vector. Zonotopes can be regarded as a …
based on zonotope representations of the state vector. Zonotopes can be regarded as a …
[HTML][HTML] The brick polytope of a sorting network
V Pilaud, F Santos - European Journal of Combinatorics, 2012 - Elsevier
… We illustrate the results of this section with particular sorting networks whose brick polytopes
are graphical zonotopes. Among them, the permutahedron is a well-known simple ( n − 1 ) -…
are graphical zonotopes. Among them, the permutahedron is a well-known simple ( n − 1 ) -…