[HTML][HTML] Joint state and parameter estimation based on constrained zonotopes

BS Rego, D Locatelli, DM Raimondo, GV Raffo - Automatica, 2022 - Elsevier
This note presents a new method for set-based joint state and parameter estimation of
discrete-time systems using constrained zonotopes. This is done by extending previous set-based …

Ellipsotopes: Uniting Ellipsoids and Zonotopes for Reachability Analysis and Fault Detection

S Kousik, A Dai, GX Gao - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
… constrained zonotopes and constrained polynomial zonotopeszonotopes can not represent
shapes with smooth boundaries such as ellipsoids, and constrained polynomial zonotopes

Open-and closed-loop neural network verification using polynomial zonotopes

N Kochdumper, C Schilling, M Althoff, S Bak - arXiv preprint arXiv …, 2022 - arxiv.org
We present a novel approach to efficiently compute tight non-convex enclosures of the image
through neural networks with ReLU, sigmoid, or hyperbolic tangent activation functions. In …

State Estimation and Leakage Detection in Water Distribution Networks Using Constrained Zonotopes

BS Rego, SG Vrachimis, MM Polycarpou… - … on Control Systems …, 2021 - ieeexplore.ieee.org
… However, since intervals are not capable of capturing the dependencies between state
variables, we propose the use of constrained zonotopes (CZs) as an additional step to both IHISE …

Set-based reachability and the explicit solution of linear MPC using hybrid Zonotopes

TJ Bird, N Jain, HC Pangborn… - 2022 American Control …, 2022 - ieeexplore.ieee.org
zonotope set representation. Beyond reachability analysis, it is shown that the set of optimizers
represented by a hybrid zonotope … programs as a collection of constrained zonotopes. …

Event-Triggered Set-Membership State Estimation for Complex Networks: A Zonotopes-Based Method

Z Zhao, Z Wang, L Zou, Y Chen… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
… (UBB) noises reside within a sequence of zonotopes. For the purpose of saving energy and
… set of zonotopes. According to the properties of zonotopes, a set of zonotopes confining the …

[HTML][HTML] On the co-NP-completeness of the zonotope containment problem

A Kulmburg, M Althoff - European Journal of Control, 2021 - Elsevier
… non-degenerate zonotopes to solve the … zonotope containment problem exactly in polynomial
time when fixing the dimension or the number of generators of either of the two zonotopes. …

[HTML][HTML] Attack isolation and location for a complex network cyber-physical system via zonotope theory

X Zhang, F Zhu, J Zhang, T Liu - Neurocomputing, 2022 - Elsevier
This paper investigates the attack isolation (AI) and attack location (AL) problems for a cyber-physical
system (CPS) based on the combination of the H-infinity observer and the …

Set-Valued Shadow Matching Using Zonotopes for 3-D Map-Aided GNSS Localization

S Bhamidipati, S Kousik, G Gao - arXiv preprint arXiv:2209.14238, 2022 - arxiv.org
… union of constrained zonotopes as a list of constrained zonotopes; so, we hold on to each
zonotopes as a list of constrained zonotopes. So, in practice, we consider each kth shadow, …

[PDF][PDF] The vertices of primitive zonotopes

A Deza, L Pournin, R Rakotonarivo - Contemporary Mathematics, 2021 - cas.mcmaster.ca
Primitive zonotopes arise naturally in various research areas, such as discrete geometry,
combinatorial optimization, and theoretical physics. We provide geometric and combinatorial …