Linear encodings for polytope containment problems
S Sadraddini, R Tedrake - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
… we show applications of our results on zonotope containment problems, computing
Hausdorff … We empirically find that the associated conservativeness is very small for zonotope …
Hausdorff … We empirically find that the associated conservativeness is very small for zonotope …
On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes
M Lenz - Combinatorial Methods in Topology and Algebra, 2015 - Springer
Let X be a list of vectors that is unimodular and let B X be the box spline defined by X. We
discuss the proof of the following conjecture by Holtz and Ron: every real-valued function on …
discuss the proof of the following conjecture by Holtz and Ron: every real-valued function on …
Rigorously computed orbits of dynamical systems without the wrapping effect
W Kühn - Computing, 1998 - Springer
… zonotopes. It can be chosen freely and is a performance parameter for the method. Zonotopes
… , but to the best of our knowledge, zonotopes have not yet been employed in numerical …
… , but to the best of our knowledge, zonotopes have not yet been employed in numerical …
Fast and precise certification of transformers
… We first demonstrate the Transformer architecture instantiated to binary sequence classification,
after which we explain the Zonotope domain and how Zonotopes are used for neural …
after which we explain the Zonotope domain and how Zonotopes are used for neural …
Passive Robust Fault Detection for Interval LPV Systems using Zonotopes
F Nejjari Akhi-Elarab, V Puig Cayuela… - … on Principles of …, 2009 - upcommons.upc.edu
… Their effect is addressed using an interval state observation method based on zonotope …
zonotopes are used to bound the set of uncertain estimated sets. Let us introduce zonotopes…
zonotopes are used to bound the set of uncertain estimated sets. Let us introduce zonotopes…
[PDF][PDF] Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids
… Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids
… Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids …
… Set-membership state estimation for uncertain systems based on zonotopes and ellipsoids …
[PDF][PDF] Robust Identification and Fault Diagnosis based on Uncertain LPV MIMO Parity Equations and Zonotopes
… bounded by a zonotope is propagated to the residuals determining their alarm limits
bounded by a zonotope as well. When the residuals are outside of the zonotope that defines the …
bounded by a zonotope as well. When the residuals are outside of the zonotope that defines the …
Further result on interval observer design for discrete-time switched systems and application to circuit systems
J Huang, X Ma, H Che, Z Han - IEEE Transactions on Circuits …, 2019 - ieeexplore.ieee.org
… by zonotope method. Some important works on the interval estimation by zonotope method
… the other is to construct the framework of zonotope for switched systems and then give the …
… the other is to construct the framework of zonotope for switched systems and then give the …
[PDF][PDF] Zonotopes, toric arrangements, labeled graphs, and the arithmetic Tutte polynomial
L Moci - emis.library.cornell.edu
Facts (Dahmen and Micchelli):(1) SX is piecewise polynomial; its local pieces span a space
D (X) of polynomials, defined by nice differential equations.(2) PX is piecewise …
D (X) of polynomials, defined by nice differential equations.(2) PX is piecewise …
Zonotopic set-membership state estimation for switched systems with restricted switching
Z Fei, L Yang, XM Sun, S Ren - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
… tion method based on zonotopes is proposed for switched sys… output, an intersection zonotope
is constructed based on mode-… performance for the intersection zonotope is addressed. …
is constructed based on mode-… performance for the intersection zonotope is addressed. …