[HTML][HTML] Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence
C Combastel - Automatica, 2015 - Elsevier
… based on zonotopes is the subject of this paper. Dealing with zonotopes is motivated by set
… Based on a new zonotope size criterion called F W -radius, and by merging optimal and …
… Based on a new zonotope size criterion called F W -radius, and by merging optimal and …
[BOOK][B] Zonotopes: From guaranteed state-estimation to control
… zonotope leading to compute a reduced order zonotope … zonotope. PROPOSITION 1.1.–
COMPLEXITY REDUCTIONOF … bound a highorder zonotope by a loworder zonotope using the …
COMPLEXITY REDUCTIONOF … bound a highorder zonotope by a loworder zonotope using the …
Methods for order reduction of zonotopes
AK Kopetzki, B Schürmann… - 2017 IEEE 56th Annual …, 2017 - ieeexplore.ieee.org
… The complexity of algorithms that work on zonotopes strongly depends on their order (ie …
, zonotopes of high orders are often over-approximated as tight as possible by zonotopes of …
, zonotopes of high orders are often over-approximated as tight as possible by zonotopes of …
[HTML][HTML] Set operations and order reductions for constrained zonotopes
V Raghuraman, JP Koeln - Automatica, 2022 - Elsevier
… for using zonotopes and constrained zonotopes to improve … the use of constrained zonotopes
to represent sets resulting … inner-approximations of zonotopes and constrained zonotopes. …
to represent sets resulting … inner-approximations of zonotopes and constrained zonotopes. …
[HTML][HTML] Input design for guaranteed fault diagnosis using zonotopes
… Zonotopes and set operations The methods in this article involve computations with zonotopes,
which … In generator representation, a zonotope Z is prescribed by its center c ∈ R n and …
which … In generator representation, a zonotope Z is prescribed by its center c ∈ R n and …
[HTML][HTML] Guaranteed methods based on constrained zonotopes for set-valued state estimation of nonlinear discrete-time systems
… zonotopes. On the other hand, reduction becomes more complex than for zonotopes, …
either zonotopes or constrained zonotopes in the context of nonlinear set-valued estimation. …
either zonotopes or constrained zonotopes in the context of nonlinear set-valued estimation. …
Constrained polynomial zonotopes
N Kochdumper, M Althoff - arXiv preprint arXiv:2005.08849, 2020 - arxiv.org
… zonotopes additionally consider linear equality constraints for the zonotope factors, whereas
zonotope bundles represent the set implicitly by the intersection of several zonotopes. A …
zonotope bundles represent the set implicitly by the intersection of several zonotopes. A …
ℎ*-polynomials of zonotopes
M Beck, K Jochemko, E McCullough - Transactions of the American …, 2019 - ams.org
… zonotope in terms of refined descent statistics of permutations and prove that the h∗-polynomial
of every lattice zonotope … for the h∗-polynomial of a zonotope in matroidal terms which is …
of every lattice zonotope … for the h∗-polynomial of a zonotope in matroidal terms which is …
Sparse polynomial zonotopes: A novel set representation for reachability analysis
N Kochdumper, M Althoff - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
… Zonotope bundles, as well as constrained zonotopes, are both able to … to zonotopes are
complex zonotopes [26] and zonotopes with subpolyhedric domains [27]. Complex zonotopes …
complex zonotopes [26] and zonotopes with subpolyhedric domains [27]. Complex zonotopes …
The excluded volume of hard sphero-zonotopes
BM Mulder* - Molecular Physics, 2005 - Taylor & Francis
… Next, in section 3 we introduce zonotopes and discuss their geometrical features. The …
arbitrary sphero-zonotopes. We define a sphero-zonotope SZ as a parallel body of a zonotope, ie …
arbitrary sphero-zonotopes. We define a sphero-zonotope SZ as a parallel body of a zonotope, ie …