Zonotopic reachable set estimation for linear discrete‐time systems with time delay

Z Zhang, Z Wang, W Tang, Z Feng… - International Journal of …, 2020 - Wiley Online Library
… We propose a novel reachable set estimation method based on zonotopes for the considered
systems. The proposed method can estimate real-time reachable set under nonzero initial …

Analyzing reachability of linear dynamic systems with parametric uncertainties

M Althoff, BH Krogh, O Stursberg - … Design, and Simulation of Systems with …, 2011 - Springer
… represented by matrix zonotopes and interval matrices – computational techniques for both
representations are presented. The reachable set is represented by zonotopes, which makes …

Differentiable abstract interpretation for provably robust neural networks

M Mirman, T Gehr, M Vechev - International Conference on …, 2018 - proceedings.mlr.press
… Point-wise Abstract Transformers for ReLU We define several novel zonotope transformers
for the functions ReLUi. Each modifies the i-th component of the input zonotope and does not …

Actuator-fault detection and isolation based on interval observers and invariant sets

F Xu, V Puig, C Ocampo-Martinez… - … IEEE Conference on …, 2013 - ieeexplore.ieee.org
… In Section IV, the expression of residual zonotopes and their bounding zonotopes are
derived. The FDI algorithm is proposed in Section V. In Section VI, a collection of FDI conditions …

Zonotopic fault estimation filter design for discrete-time descriptor systems

Y Wang, Z Wang, V Puig, G Cembrano - IFAC-PapersOnLine, 2017 - Elsevier
This paper considers actuator-fault estimation for discrete-time descriptor systems with unknown
but bounded system disturbance and measurement noise. A zonotopic fault estimation …

More on p-stable convex sets in Banach spaces

Y Davydov, V Paulauskas, A Račkauskas - Journal of Theoretical …, 2000 - Springer
zonotope. Furthermore, if B=Rd, the singularity of distributions of two countable zonotopes
Yp1 , … First we consider the limits of zonotopes formed by iid random variables in the domain of …

[HTML][HTML] A distributed set-membership estimator for linear systems with reduced computational requirements

C Ierardi, L Orihuela, I Jurado - Automatica, 2021 - Elsevier
… i > , i = 1 , … , n , be respectively a zonotope and a set of zonotopes, and let R be a matrix
of … of a zonotope is given by R X = < R c , R H > ; the Minkowski sum of several zonotopes is …

Ehrhart polynomial and multiplicity Tutte polynomial

M D'Adderio, L Moci - arXiv preprint arXiv:1102.0135, 2011 - arxiv.org
… of a zonotope is a specialization of the multiplicity Tutte polynomial introduced in [15]. We
derive some formulae for the volume and the number of integer points of the zonotope. …

Zonotopic unknown input observer of discrete-time descriptor systems for state estimation and robust fault detection

Y Wang, V Puig, F Xu, G Cembrano - IFAC-PapersOnLine, 2018 - Elsevier
… Abstract: This paper studies a set-based unknown input observer based on zonotopes for
discrete-time descriptor systems affected by uncertainties with application to state estimation …

Zonotopic particle filtering based state estimation algorithm and its application on temperature recognition for Lithium battery

Z Wang, P Wang, Y Zhan, S Zhang… - 2021 40th Chinese …, 2021 - ieeexplore.ieee.org
… the accuracy advantage of zonotope, this paper proposes a zonotopic particle filtering based
state estimation (ZPFSE) to limits the diffusion range of each particle with zonotope, which …