Robust constrained control of piecewise affine systems based on reach sets computation

R Desimini - 2017 - politesi.polimi.it
… stato all’interno dello zonotope fornisce la retroazione suddetta. … (reach set) via a zonotope
and computing the control input … the state coordinates within the zonotope provides the state …

Once more about the 52 four-dimensional parallelotopes

M Deza, V Grishukhin - arXiv preprint math/0307171, 2003 - arxiv.org
… In this work we give a new enumeration showing that any four-dimensional parallelotope
is either a zonotope or the Minkowski sum of a zonotope with the regular 24-cell {3,4,3}. Each …

Production theory: accounting for firm heterogeneity and technical change

D Giovanni, M Grazzi, M Luigi, S Simona - 2016 - publicatt.unicatt.it
… of the zonotope composed by vectors-firms in a narrowly defined industry as an indicator
of inter-firm heterogeneity. Moreover, the angles that the main diagonal of the zonotope form …

Robust Zonotopic-based Interval Fault Estimation for Multi-agent Systems with Unknown but Bounded Noise

M Zhou, T Xue, J Wang, C Wang - 2021 IEEE 10th Data Driven …, 2021 - ieeexplore.ieee.org
… are bounded in zonotopes, the observer matrices are achieved by zonotopic method which
makes the P-radius of the global augmented state estimation error zonotope is not increased. …

[HTML][HTML] Fast interval estimation for discrete-time linear systems: An L1 optimization method

Z Wang, TN Dinh, Q Zhang, T Raïssi, Y Shen - Automatica, 2022 - Elsevier
… The estimator is combined with the zonotope-based interval analysis to achieve fast interval
… the edges of the outer box of the error zonotope. It is formulated as L 1 optimization problem …

[HTML][HTML] The LP-Newton method for standard form linear programming problems

T Kitahara, S Mizuno, J Shi - Operations Research Letters, 2013 - Elsevier
… Let (2) A ̄ = [ A c T ] and define the zonotope Z ̄ as follows: (3) Z ̄ = { z ̄ ∈ ℜ m + 1 | z ̄
… z ̄ k + 1 , the nearest point of b ̄ k to the zonotope Z ̄ . Then b ̄ k + 1 is obtained as the …

A distributed set-membership estimator for linear systems considering multi-hop subspace decomposition

L Orihuela, C Ierardi, I Jurado - IFAC-PapersOnLine, 2020 - Elsevier
This paper presents a distributed set-membership estimator for linear full-coupled systems
affected by bounded disturbances. The estimator makes use of a recently developed multi-…

Safety assessment of autonomous cars using verification techniques

M Althoff, O Stursberg, M Buss - 2007 American Control …, 2007 - ieeexplore.ieee.org
… effort can be drastically reduced by setting the zonotope order to one which results in 2n
vertices… of the Zonotope Z that span the reduced zonotope in a best way. The reduced zonotope

[PDF][PDF] 12 Recent Progress in SONIC

E Just - SWIM 2012 List of Abstracts - uol.de
zono-tope. The main idea consists in an outer approximation of the intersection of a zonotope
(… approximation of the intersection between a zonotope (the prediction of the states) and a …

Dynamic threshold computation in fault detection for discrete-time linear systems

X Liu, Z Wang, Y Wang, Y Shen - 2018 Chinese Control And …, 2018 - ieeexplore.ieee.org
… In this paper, we will introduce dynamic threshold computation methods based on
zonotope and L∞ for (8) system. Then, the performances of the two methods will be compared …