Set-Based State Estimation With Probabilistic Consistency Guarantee Under Epistemic Uncertainty

S Li, T Stouraitis, M Gienger… - IEEE Robotics and …, 2022 - ieeexplore.ieee.org
… is bounded by a zonotope obtained by linearly transforming ˆXt−1. Then, by Minkowskisumming
this transformed zonotope and Rd( ˆXt−1,ut−1), we obtain another zonotope, denoted by …

Ehrhart quasi-polynomials of almost integral polytopes

C de Vries, M Yoshinaga - arXiv preprint arXiv:2108.11132, 2021 - arxiv.org
… In particular, we prove that lattice zonotopes and centrally symmetric lattice polytopes are …
This section deals with a characterization for zonotopes in a similar way to Theorem 4.2. More …

Data-driven Set-based Estimation of Polynomial Systems with Application to SIR Epidemics

A Alanwar, MUB Niazi… - 2022 European Control …, 2022 - ieeexplore.ieee.org
… Zx|z(k) for each sample x(k), we obtain a matrix zonotope that provides the … matrix zonotope
MΘp that bounds the set of unknown coefficients, we utilize the constrained matrix zonotopes

Prognosis based on the joint parameter/state estimation using zonotopic lpv set-membership approach

A Al-Mohamad, V Puig, G Hoblos - IFAC-PapersOnLine, 2021 - Elsevier
This paper addresses the problem of prognostics based on Joint Estimation of States and
Parameters (JESP) using a zonotopic Linear Parameter-Varying (LPV) set-membership …

Observations on the complexity of the explicit MPC

F Stoican, ŞS Mihai… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
This paper analyzes the structure of the constrained optimization problem induced by a typical
Model Predictive Control (MPC) problem. The main idea is to exploit the particularities of …

Closed-loop incremental stability for efficient symbolic control of non-linear systems

P Tajvar, PJ Meyer, J Tumova - IFAC-PapersOnLine, 2021 - Elsevier
… The exact computation of (7) is not a zonotope, but we can compute a zonotope over-approximation
of (7). Such over-approximation can be achieved for example via the method …

A Zonotopic-Based Watermarking Design to Detect Replay Attacks

C Trapiello, V Puig - IEEE/CAA Journal of Automatica Sinica, 2022 - ieeexplore.ieee.org
This paper suggests the use of zonotopes for the design of watermark signals. The
proposed approach exploits the recent analogy found between stochastic and zonotopic-based …

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R Geshnizjani, A Kornienko, T Ziegler, J Löhr… - researchgate.net
… as a zonotope [12], a structure which has been studied extensively in mathematics and
computer sciences [13, 14]. In this work, we use the mathematical characteristics of zonotopes to …

Constrained Convex Generators: A Tool Suitable for Set-Based Estimation With Range and Bearing Measurements

D Silvestre - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
… Motivated by these observations, we propose a generalization of the definition for constrained
zonotopes recently introduced in the literature to also consider the i2 norm and cones (or …

Catalan numbers, parking functions, permutahedra and noncommutative Hilbert schemes

V Lunts, Š Špenko, MV Bergh - arXiv preprint arXiv:2207.12046, 2022 - arxiv.org
… We find an explicit Sn-equivariant bijection between the integral points in a certain zonotope
in Rn, combinatorially equivalent to the permutahedron, and the set of m-parking functions …