Robust MPC for linear systems with bounded disturbances based on admissible equilibria sets

TLM Santos, VM Cunha - International Journal of Robust and …, 2021 - Wiley Online Library
This article presents a robust model predictive control (MPC) for piecewise constant reference
tracking based on a constrained linear model and a terminal constraint defined from the …

Characterizing the limits of human stability during motion: perturbative experiment validates a model-based approach for the Sit-to-Stand task

PD Holmes, SM Danforth, XY Fu… - Royal Society …, 2020 - royalsocietypublishing.org
… To define X T , we must first introduce a geometric object called a zonotope. A zonotope Z is
a … Although CORA chooses the exact number of generators to use for each zonotope, we set …

Reduced-order observer-based interval estimation for discrete-time linear systems

Y Chen, J Yang, Z Wang, H Zhang - Systems Science & Control …, 2021 - Taylor & Francis
This paper proposes an interval estimation method for discrete-time linear systems by designing
robust reduced-order observer with reachability analysis. First, the discrete-time linear …

Mirror symmetry for honeycombs

B Gammage, D Nadler - Transactions of the American Mathematical …, 2020 - ams.org
We prove a homological mirror symmetry equivalence between the $ A $-brane category of
the pair of pants, computed as a wrapped microlocal sheaf category, and the $ B $-brane …

SYMMETRIC DECOMPOSITIONS, TRIANGULATIONS AND REAL‐ROOTEDNESS

CA Athanasiadis, E Tzanaki - Mathematika, 2021 - Wiley Online Library
… A lattice zonotope is defined as the Minkowski sum of finitely many line segments in R N ,
whose vertices lie in Z N . The following statement can be deduced from Theorem 1.3 (see § 5)…

Improved interval estimation method for cyber-physical systems under stealthy deception attacks

J Fan, J Huang, X Zhao - IEEE Transactions on Signal and …, 2021 - ieeexplore.ieee.org
This paper investigates the problem of interval estimation for cyber-physical systems subject
to stealthy deception attacks. The cyber-physical system is supposed to be compromised by …

Synthesis-guided Adversarial Scenario Generation for Gray-box Feedback Control Systems with Sensing Imperfections

L Yang, N Ozay - ACM Transactions on Embedded Computing Systems …, 2021 - dl.acm.org
… To handle the cases where nx > 4, we use zonotopes to under-approximate the polytopic …
In fact, the intersection of two zonotopes is not necessarily a zonotope. However, we can find a …

[HTML][HTML] Zonotopic fault interval estimation for discrete-time Markovin jump systems with generally bounded transition probabilities

X Li, W Zhang, D Lu - Journal of the Franklin Institute, 2021 - Elsevier
… Here we propose a zonotope-based solution, which features an excellent ability to measure
those unknown but bounded uncertainties. Actually, estimation errors of the robust observer …

Přenos znalosti pro lineární systémy s omezeným šumem

L Eva - 2022 - dspace.cvut.cz
zonotope ZZ is a special case of convex polytope, where upper and lower bounds are given
by vectors a, b of length k and V is a matrix of size k × lz and rank lz. A zonotope … a zonotope

A view on multiple recurrence

T Eisner - arXiv preprint arXiv:2201.02096, 2022 - arxiv.org
… almost periodic (by using the same module zonotopes as for fn), so is 1M f by Remark 5.2(c). …
we see that the orbit of f+ belongs to the same neighborhood of the same module zonotope