Application of functional intervals to the response evaluation of linear time-invariant systems with fuzzy input
Functional input uncertainty is investigated for linear time-invariant (LTI) systems. This kind of
uncertainty arises, for instance, when actuator's reliability is taken into account. In this case, …
uncertainty arises, for instance, when actuator's reliability is taken into account. In this case, …
-Estimates for Linear Functionals on Zonoids
G Paouris - Geometric aspects of functional analysis, 2003 - Springer
Let K be a convex body in $ ℝ n $ ${\mathbb R}^n$ with centre of mass at the origin and volume
|K| = 1. We prove that if $ K ⊆ α n B 2 n $ $K\subseteq\alpha\sqrt{n}B_2^n$ where B 2 n …
|K| = 1. We prove that if $ K ⊆ α n B 2 n $ $K\subseteq\alpha\sqrt{n}B_2^n$ where B 2 n …
What is known about unit cubes
C Zong - Bulletin of the American Mathematical Society, 2005 - ams.org
… A polytope is called a zonotope if it is a Minkowski sum of a finite number of segments.
Clearly both In and Pi are zonotopes. Let Wi(K) denote the i-th quermassintegral of an n-…
Clearly both In and Pi are zonotopes. Let Wi(K) denote the i-th quermassintegral of an n-…
Interpolation by symmetric functions and alternating higher Bruhat orders
GG Ilyuta - Izvestiya: Mathematics, 2003 - iopscience.iop.org
We study interpolation by Grassmannian Schubert polynomials (Schur functions). We prove
versions of the Sturmfels-Zelevinsky formula for the product of the maximal minors of …
versions of the Sturmfels-Zelevinsky formula for the product of the maximal minors of …
[BOOK][B] Polyhedral Split Decomposition of Distances from the Viewpoint of Discrete Convex Analysis
S Koichi - 2007 - keisu.tu-tokyo.ac.jp
… Since the Minkowski sum of line segments is a zonotope, the … of a zonotope and some
polyhedron, which is the dual operation of the polyhedral split decomposition. The zonotope is …
polyhedron, which is the dual operation of the polyhedral split decomposition. The zonotope is …
An introduction to affine arithmetic
J Stolfi, LH de Figueiredo - Trends in …, 2003 - tema.sbmac.emnuvens.com.br
… The projection is a zonotope, a center-symmetric convex polytope in Rm, whose faces
are themselves center-symmetric. It is the Minkowski sum of the point (x1 …
are themselves center-symmetric. It is the Minkowski sum of the point (x1 …
[PDF][PDF] Quasilinear spaces and their relation to vector spaces
S Markov - Electronic Journal on Mathematics of Computation, 2005 - math.bas.bg
In this paper we present a novel approach in the exposition of the theory of quasivector
spaces (quasilinear spaces of group structure), stressing on their relation to vector spaces. We …
spaces (quasilinear spaces of group structure), stressing on their relation to vector spaces. We …
Hybrid systems: Computation and control
L Thiele, M Morari - 2005 - Springer
This volume contains the proceedings of the 8th Workshop on Hybrid Systems: Computation
and Control (HSCC 2005) held in Zurich, Switzerland during March 9–11, 2005. The annual …
and Control (HSCC 2005) held in Zurich, Switzerland during March 9–11, 2005. The annual …
[PDF][PDF] Localisation garantie d'automobiles. Contribution aux techniques de satisfaction de contraintes sur les intervalles
GEH Amadou - Doctorat, Université de Technologie de Compiègne …, 2006 - hds.utc.fr
Le développement continu et à grande vitesse des technologies de l'information et de la
communication ainsi que la grande diversité des champs d’applications constituent des …
communication ainsi que la grande diversité des champs d’applications constituent des …
Approximate bisimulations for nonlinear dynamical systems
A Girard, GJ Pappas - … of the 44th IEEE Conference on Decision …, 2005 - ieeexplore.ieee.org
The notion of exact bisimulation equivalence for nondeterministic discrete systems has recently
resulted in notions of exact bisimulation equivalence for continuous and hybrid systems. …
resulted in notions of exact bisimulation equivalence for continuous and hybrid systems. …