Zonotopic reachable set estimation for linear discrete‐time systems with time delay
… 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 …
systems. The proposed method can estimate real-time reachable set under nonzero initial …
Analyzing reachability of linear dynamic systems with parametric uncertainties
… represented by matrix zonotopes and interval matrices – computational techniques for both
representations are presented. The reachable set is represented by zonotopes, which makes …
representations are presented. The reachable set is represented by zonotopes, which makes …
Differentiable abstract interpretation for provably robust neural networks
… 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 …
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 …
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
This paper considers actuator-fault estimation for discrete-time descriptor systems with unknown
but bounded system disturbance and measurement noise. A zonotopic fault estimation …
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 …
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 …
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. …
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
… 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 …
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 …
state estimation (ZPFSE) to limits the diffusion range of each particle with zonotope, which …