[HTML][HTML] Joint state and parameter estimation based on constrained zonotopes
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 …
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
… constrained zonotopes and constrained polynomial zonotopes … zonotopes can not represent
shapes with smooth boundaries such as ellipsoids, and constrained polynomial zonotopes …
shapes with smooth boundaries such as ellipsoids, and constrained polynomial zonotopes …
Open-and closed-loop neural network verification using polynomial zonotopes
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 …
through neural networks with ReLU, sigmoid, or hyperbolic tangent activation functions. In …
State Estimation and Leakage Detection in Water Distribution Networks Using Constrained Zonotopes
… 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 …
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. …
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 …
… 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. …
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 …
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
… 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, …
… 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 …
combinatorial optimization, and theoretical physics. We provide geometric and combinatorial …