[HTML][HTML] Set-based control for disturbed piecewise affine systems with state and actuation constraints
B Schürmann, R Vignali, M Prandini… - Nonlinear Analysis: Hybrid …, 2020 - Elsevier
… We propose zonotopes, … in zonotopes, reachable sets are zonotopes as well and easily
computable, even in the case of high-dimensional systems [24], [28]. Unfortunately, zonotopes …
computable, even in the case of high-dimensional systems [24], [28]. Unfortunately, zonotopes …
Hierarchical Cyber-Attack Detection in Large-Scale Interconnected Systems
T Keijzer, AJ Gallo, RMG Ferrari - arXiv preprint arXiv:2209.13874, 2022 - arxiv.org
… In this paper, but without loss of generality, we adopt constrained zonotopes [26], which
are proven to offer numerical advantages with respect to other set representations. The rest of …
are proven to offer numerical advantages with respect to other set representations. The rest of …
The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders
NJ Williams - arXiv preprint arXiv:2012.10371, 2020 - arxiv.org
… After giving this definition, we give the characterisation of cubillages of cyclic zonotopes
established in [GP17] and studied in [DKK18a]. Finally, we explain the original definition of the …
established in [GP17] and studied in [DKK18a]. Finally, we explain the original definition of the …
Hierarchical MPC for coupled subsystems using adjustable tubes
V Raghuraman, JP Koeln - arXiv preprint arXiv:2202.11228, 2022 - arxiv.org
… Sets are represented as zonotopes to enable the ability to optimize the size of these
adjustable tubes and perform the necessary constraint tightening online as part of the MPC …
adjustable tubes and perform the necessary constraint tightening online as part of the MPC …
[HTML][HTML] Shared Certificates for Neural Network Verification
… Based on the above discussion we will use the Zonotope domain to represent all … the
resulting zonotopes to obtain the Box templates T, which we treat as a special case of Zonotopes. …
resulting zonotopes to obtain the Box templates T, which we treat as a special case of Zonotopes. …
Reachability Analysis plus Satisfiability Modulo Theories: An Adversary-Proof Control Method for Connected and Autonomous Vehicles
Q Xu, Y Liu, J Pan, J Wang, J Wang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Connected and autonomous vehicles (CAVs) are expected to operate with safety guarantee
in presence of adversaries from the internet of vehicles (IoV). This study proposes a control …
in presence of adversaries from the internet of vehicles (IoV). This study proposes a control …
[HTML][HTML] Active fault tolerant control using zonotopic techniques for linear parameter varying systems: Application to wind turbine system
This paper deals with the design of an Active Fault Tolerant Control (AFTC) approach for
polytopic uncertain Linear Parameter-Varying (LPV) systems subject to uncertainties and …
polytopic uncertain Linear Parameter-Varying (LPV) systems subject to uncertainties and …
[HTML][HTML] The multi-cover persistence of Euclidean balls
H Edelsbrunner, G Osang - Discrete & Computational Geometry, 2021 - Springer
… zonotope is a special convex polyhedron, namely one obtained by taking the Minkowski sum
of finitely many line segments. The zonotope … By construction, the thus defined zonotope is …
of finitely many line segments. The zonotope … By construction, the thus defined zonotope is …
Bounded-error constrained state estimation in presence of sporadic measurements
Y Becis-Aubry - arXiv preprint arXiv:2202.13900, 2022 - arxiv.org
… vectors are overcome by choosing zonotopes to bound the process disturbances and, since
… Neither intervals nor zonotopes have this advantageous feature [16], which will be favorably …
… Neither intervals nor zonotopes have this advantageous feature [16], which will be favorably …
An Update-and-Stabilize Framework for the Minimum-Norm-Point Problem
S Fujishige, T Kitahara, LA Végh - arXiv preprint arXiv:2211.02560, 2022 - arxiv.org
… We consider the minimum-norm-point (MNP) problem over zonotopes, a well-studied problem
that encompasses linear programming. Inspired by Wolfe’s classical MNP algorithm, we …
that encompasses linear programming. Inspired by Wolfe’s classical MNP algorithm, we …