Set-Based State Estimation With Probabilistic Consistency Guarantee Under Epistemic Uncertainty
… 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 …
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 …
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
… 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 …
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
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 …
Parameters (JESP) using a zonotopic Linear Parameter-Varying (LPV) set-membership …
Observations on the complexity of the explicit MPC
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 …
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
… 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 …
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 …
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 …
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 …
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 …
in Rn, combinatorially equivalent to the permutahedron, and the set of m-parking functions …