Reachability analysis of linear systems with uncertain parameters and inputs
M Althoff, O Stursberg, M Buss - 2007 46th IEEE Conference on …, 2007 - ieeexplore.ieee.org
… Based on the computation of the reachable set of a single initial value, the reachable set
starting from a zonotope [7] is discussed in this section. A zonotope Z is a set such that: …
starting from a zonotope [7] is discussed in this section. A zonotope Z is a set such that: …
Families of tight inequalities for polytopes
C Stenson - Discrete & Computational Geometry, 2005 - Springer
… We can understand the smaller zonotope cone in the same way. The 2-zonotope with the
fewest possible … Since every facet of a 3-zonotope Z must be a 2-zonotope, we have (( f 2 …
fewest possible … Since every facet of a 3-zonotope Z must be a 2-zonotope, we have (( f 2 …
Rhombus tilings: decomposition and space structure
F Chavanon, E Rémila - Electronic Notes in Discrete Mathematics, 2004 - Elsevier
… [7] claims that tilings of zonotopes can also be interpreted as … of tilings of unitary zonotopes
constructed from vectors in … the size of the zonotope Z; we say that Z is a s-zonotope. Z is …
constructed from vectors in … the size of the zonotope Z; we say that Z is a s-zonotope. Z is …
Robust fault detection using a consistency-based state estimation test considering unknown but bounded noise and parametric uncertainty
P Guerra, V Puig… - 2007 European Control …, 2007 - ieeexplore.ieee.org
… A set-membership state estimator based on propagating the uncertainty using zonotopes
is … In this paper, zonotopes are used to bound the set of uncertain estimated sets. Let us …
is … In this paper, zonotopes are used to bound the set of uncertain estimated sets. Let us …
Generation of set membership tests for fault diagnosis and evaluation of their worst case sensitivity
A Lalami, C Combastel - IFAC Proceedings Volumes, 2006 - Elsevier
… is fault-free (Vf=0), then the linear combination of the observations MoVo belongs to the
set Mz[Vz] which is a zonotope (the linear image of a zonotope is a zonotope and [Vz] is a …
set Mz[Vz] which is a zonotope (the linear image of a zonotope is a zonotope and [Vz] is a …
[HTML][HTML] Robust MPC of constrained discrete-time nonlinear systems based on approximated reachable sets
… A method that uses zonotopes to represent the approximated reachable sets is proposed.
The closed-loop system is ultimately bounded thanks to a contractive constraint that drives the …
The closed-loop system is ultimately bounded thanks to a contractive constraint that drives the …
Robust fault diagnosis based on adaptive estimation and set-membership computations
C Combastel, Q Zhang - IFAC Proceedings Volumes, 2006 - Elsevier
… A residual evaluation is then performed by set-membership computations based on zonotopes
… In this paper, the computation of the residual envelop will be made by using zonotopes in …
… In this paper, the computation of the residual envelop will be made by using zonotopes in …
Tolerable area creation with genetic algorithm
V Krischuk, B Artyushenko… - … -Modern Problems of Radio …, 2006 - ieeexplore.ieee.org
… With zonotopes it will be possible to present bigger areas, … modules for intervals and
zonotopes. Ellipsoid is given by its … figure then to check whether zonotope belongs to the workable …
zonotopes. Ellipsoid is given by its … figure then to check whether zonotope belongs to the workable …
Structure of spaces of rhombus tilings in the lexicograhic case
E Rémila - Discrete Mathematics & Theoretical Computer …, 2005 - dmtcs.episciences.org
… i=1 mi is the size of the zonotope Z; we say that Z is a s-zonotope. Z is said to be unitary if all
… zonotope. For each d + 1unitary zonotope, we define the low position as the d+1-tiling of this …
… zonotope. For each d + 1unitary zonotope, we define the low position as the d+1-tiling of this …
Realistic uncertainty measures for GPS observations
S Schön, H Kutterer - A Window on the Future of Geodesy, 2005 - Springer
… Finally, confidence ellipsoids and zonotopes are superposed to extended uncertainty … for
the simple case of a zonotope with 6 vertices. Geometrically the zonotope is decomposed in sec…
the simple case of a zonotope with 6 vertices. Geometrically the zonotope is decomposed in sec…