Geometric bistellar flips. The setting, the context and a construction

F Santos - arXiv preprint math/0601746, 2006 - arxiv.org
We give a self-contained introduction to the theory of secondary polytopes and geometric
bistellar flips in triangulations of polytopes and point sets, as well as a review of some of the …

[PDF][PDF] Parameter estimation for non-linear continuous-time systems in a bounded error context.

T Raïssi, N Ramdani, Y Candau - CDC, 2003 - researchgate.net
This paper deals with guaranteed parameter estimation in a bounded error context for nonlinear
continuous-time systems. Perturbations are assumed bounded but otherwise unknown. …

Experimental parallel robot dynamic model evaluation with set membership estimation

N Ramdani, P Poignet - IFAC Proceedings Volumes, 2006 - Elsevier
This paper presents the application of an ellipsoidal method for experimental robust dynamic
identification of parallel robots. The robot is modelled with classical Lagrange equation …

k-Equivalence of Polytopes

B Grünbaum - Convex Polytopes, 2003 - Springer
In chapter 11 we have investigated some properties of complexes realizable by skeletons of
polytopes. The present chapter complements this by discussing the known results on the …

Set membership state estimation for nonlinear systems in the presence of bounded disturbances

H Qing - 2007 Chinese Control Conference, 2007 - ieeexplore.ieee.org
In this paper an extended set membership state estimation algorithm for nonlinear discrete-time
system in the presence of bounded disturbances is presented. The convergence …

Generalized intervals and the dependency problem

W Krämer - PAMM: proceedings in applied mathematics and …, 2006 - Wiley Online Library
Computing enclosures of the range of functions using interval arithmetic often leads to
overestimations due to variables (parameters) appearing more than once within the expression to …

Complex interval constraint propagation for non linear bounded-error parameter identification

N Ramdani, T Raïssi, Y Candau… - Proceedings of the 44th …, 2005 - ieeexplore.ieee.org
This paper is dedicated to bounded error identification with complex valued non-linear models.
Complex intervals are characterized by using polar forms and a new inclusion function is …

On the sum of intervals

ED Gluskin - Geometric Aspects of Functional Analysis, 2003 - Springer
… The optimal value of d(V (u1,..., uN )), which will be denoted by dn,N , describes the rate
of approximation of the Euclidean ball by zonotopes. The quantity dn,N was studied by many …

[PDF][PDF] An enumerative problem in threshold logic

Ž Kovijanić-Vukićević - Publications de l'Institut Mathematique, 2007 - doiserbia.nb.rs
… Each of P(2,d − 1) hyperplane partitions of F0 can be uniquely expanded to central
hyperplane partitions of the zonotope Z. Let us consider the number of hyperplane partitions of Z …

A convex approximation of the feasible solution set for nonlinear bounded-error identification problems

JM Bravo, T Alamo, M Fiacchini… - 2007 46th IEEE …, 2007 - ieeexplore.ieee.org
A new nonlinear bounded-error identification method is presented in this paper. We consider
models that depend non linearly on a given set of parameters. An additive bounded error …