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 …

[BOOK][B] Zonotopes: From guaranteed state-estimation to control

VTH Le, C Stoica, T Alamo, EF Camacho, D Dumur - 2013 - books.google.com
zonotope leading to compute a reduced order zonotopezonotope. PROPOSITION 1.1.–
COMPLEXITY REDUCTIONOF … bound a highorder zonotope by a loworder zonotope using the …

Input design for guaranteed fault diagnosis using zonotopes

JK Scott, R Findeisen, RD Braatz, DM Raimondo - Automatica, 2014 - Elsevier
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 …

Improved set-membership estimation approach based on zonotopes and ellipsoids

SB Chabane, CS Maniu, T Alamo… - 2014 European …, 2014 - ieeexplore.ieee.org
… the volume of the zonotope. In [16], the minimization of the P-radius of the zonotope leads to
a … of the segments minimization and the accuracy of the volume minimization of a zonotope. …

On computing the minkowski difference of zonotopes

M Althoff - arXiv preprint arXiv:1512.02794, 2015 - arxiv.org
Zonotopes are becoming an increasingly popular … zonotopes are closed under Minkowski
addition and linear maps, which can be very efficiently implemented. Unfortunately, zonotopes

Aggregation of energetic flexibility using zonotopes

FL Müller, O Sundström, J Szabó… - 2015 54th IEEE …, 2015 - ieeexplore.ieee.org
… applications include [20], [21], [22], [23], where zonotopes are used for the … zonotope describe
bounding volumes for the purpose of collision detection. We propose the use of zonotopes

[HTML][HTML] Shadow systems of asymmetric Lp zonotopes

M Weberndorfer - Advances in Mathematics, 2013 - Elsevier
… , for the new notion of asymmetric L p zonotope. These zonotopes are the L p sums of line
… ∖ { o } , then the associated asymmetric L p zonotope Z p + Λ is the unique compact convex …

Quadratic zonotopes

A Adjé, PL Garoche, A Werey - Asian Symposium on Programming …, 2015 - Springer
… In static analysis, the zonotope domain, a relational abstract domain … of zonotopes. We also
present a new algorithm based on semi-definite programming to project a quadratic zonotope

Zonotope-based set-membership estimation for multi-output uncertain systems

VTH Le, C Stoica, T Alamo… - … on Intelligent Control …, 2013 - ieeexplore.ieee.org
… For this reason, the representation by zonotopes is used in this … The compactness
representation of zonotopes can facilitate the … time) can be efficiently controlled using zonotopes

A verified algorithm for geometric zonotope/hyperplane intersection

F Immler - Proceedings of the 2015 Conference on Certified …, 2015 - dl.acm.org
… (AA), which works with zonotopes instead of intervals. Zonotopes are also widely used for
… , where an important operation is the geometric intersection of zonotopes with hyperplanes. …