Input design for active dectection of integrity attacks using set-based approach

C Trapiello Fernández… - IFAC 2020-21th World …, 2020 - upcommons.upc.edu
… where c is the center of the zonotope and H = [h1, ..., hm] the generator matrix. Hereinafter
zonotopes … and Minkowski sum operations are also zonotopes computed as LZ = 〈Lcz, LHz〉 …

Constructing attractors of nonlinear dynamical systems

L Fribourg, U Kühne, R Soulat - 1st French Singaporean …, 2013 - drops.dagstuhl.de
… to the center of the zonotope and the second to the generators. … Thus we need to enlarge
any image of a zonotope Z =<c,G> by … Thus we need to enlarge any image of a zonotope Z by …

Reachability-based trajectory safeguard (rts): A safe and fast reinforcement learning safety layer for continuous control

YS Shao, C Chen, S Kousik… - IEEE Robotics and …, 2021 - ieeexplore.ieee.org
… the PRS with zonotopes using an open-source toolbox called CORA [25]. A zonotope is a
set … Third, since for any k, a plan has pplan(0,k)=0, we provide an initial condition zonotope Z …

Formal and compositional analysis of power systems using reachable sets

M Althoff - IEEE Transactions on Power Systems, 2014 - ieeexplore.ieee.org
… , zonotopes are used to represent the reachable sets. However, the proposed algorithms and
computations apply to all kinds of set representations. Zonotopes … of zonotopes and opera…

Reliability and integrity measures of GPS positioning via geometrical constraints

H Dbouk, S Schön - Proceedings of the 2019 International Technical …, 2019 - ion.org
… In this paper, the volumes of the polytopes and zonotopes will be computed by same
MatLab built-in algorithm (convhulln) in order to avoid inconsistency in the computation. …

Kalman filtering and zonotopic state bounding for robust fault detection

C Combastel - 2016 3rd Conference on Control and Fault …, 2016 - ieeexplore.ieee.org
… The covariation of a zonotope will be introduced as a set-membership analog to covariance,
making it possible to compute a time-varying optimal observer gain jointly minimizing both …

Minimal-volume shadows of cubes

MI Ostrovskii - Journal of Functional Analysis, 2000 - Elsevier
… in Rn is called a zonotope (see [11] for basic facts on zonotopes). We shall consider zonotopes
that are sums of line segments of the form [&x, x]. Such zonotopes are balls according to …

[PDF][PDF] THE ROLE OF CONSTRAINTS IN FUTURE MOTION SYSTEMS

T Raste - aci-mobility.de
… We denote sets with bold letters and need three type of convex sets: intervals, polytopes and
zonotopes. The calculation of the sets is done with the Matlab toolbox CORA [3]. An interval …

Reachable set calculation and analysis of microgrids with power-electronic-interfaced renewables and loads

Y Li, P Zhang - 2018 IEEE Power & Energy Society General …, 2018 - ieeexplore.ieee.org
… Moreover, a zonotope is used to better quantify these uncertainties and is integrated into
the reachable sets calculation procedure. Extensive testing shows that reachable set …

Nonlinear hybrid reachability using set integration and zonotopic enclosures

M Maïga, C Combastel, N Ramdani… - 2014 European …, 2014 - ieeexplore.ieee.org
… In the practical implementation used in this paper, care will be taken to use the zonotope
enclosure algorithm so that it returns a domain with the same MSPB format as the one used by …