Complexity bounds for obstacle avoidance within a zonotopic framework
… We address this question by considering zonotopes and their … Zonotopes are widely
used in control, eg, for collision … We will use extensively zonotopes as a class of polytopes, …
used in control, eg, for collision … We will use extensively zonotopes as a class of polytopes, …
Slide window bounded-error time-varying systems identification
This technical note presents a new identification method for discrete linear systems with time-varying
parameters based on bounded-error approach. It is assumed a bounded additive …
parameters based on bounded-error approach. It is assumed a bounded additive …
[HTML][HTML] Set-membership estimation based on ellipsoid bundles for discrete-time LPV descriptor systems
W Tang, Q Zhang, Z Wang, Y Shen - Automatica, 2022 - Elsevier
This paper considers set-membership estimation for discrete-time linear parameter-varying
descriptor systems. Ellipsoid bundle, a new set representation tool combining certain …
descriptor systems. Ellipsoid bundle, a new set representation tool combining certain …
Riesz bases of exponentials for convex polytopes with symmetric faces
A Debernardi, N Lev - Journal of the European Mathematical Society, 2021 - ems.press
… uj , 1 6 j 6 n, and so it is indeed a zonotope in Rd . We observe that if the linear span of the
vectors u1;u2;:::;un is the whole Rd , then the zonotope n has nonempty interior; while if these …
vectors u1;u2;:::;un is the whole Rd , then the zonotope n has nonempty interior; while if these …
The Geometry of Discotopes
F Gesmundo, C Meroni - arXiv preprint arXiv:2111.01241, 2021 - arxiv.org
… , of zonotopes. The latter are finite Minkowski sums of line segments. Zonotopes are the only
… They are relatively well-understood: for instance, it is known that a polytope is a zonotope if …
… They are relatively well-understood: for instance, it is known that a polytope is a zonotope if …
Reachability analysis of a general class of neural ordinary differential equations
… If the NODE is nonlinear, we make use of zonotope and polynomial-zonotope based … , which
are more scalable than other zonotope-based methods and possess soundness guarantees …
are more scalable than other zonotope-based methods and possess soundness guarantees …
Compositional Synthesis of Decentralized Robust Set-Invariance Controllers for Large-scale Linear Systems
K Ghasemi, S Sadraddini… - 2019 IEEE 58th …, 2019 - ieeexplore.ieee.org
… Zonotope order reduction methods help us to overapproximate a zonotope Z(c, H) by a
zonotope … methods that increase zonotope order, as operations with high order zonotopes are …
zonotope … methods that increase zonotope order, as operations with high order zonotopes are …
Geometry of Multiprimary Display Colors II: Metameric Control Sets and Gamut Tiling Color Control Functions
CE Rodríguez-Pardo, G Sharma - IEEE Access, 2021 - ieeexplore.ieee.org
… Because G is an affine map of RK into R3, G is a zonotope whose geometry we characterized
in the companion Part I paper [1]. A color control function (CCF) is a function C : G → [0, 1]…
in the companion Part I paper [1]. A color control function (CCF) is a function C : G → [0, 1]…
Production theory: accounting for firm heterogeneity and technical change
… (normalized) volume of the zonotope as a measure of industry heterogeneity. We then propose
a measure of productivity change based on the zonotope's main diagonal and we assess …
a measure of productivity change based on the zonotope's main diagonal and we assess …
Reachset conformance testing of hybrid automata
H Roehm, J Oehlerking, M Woehrle… - Proceedings of the 19th …, 2016 - dl.acm.org
… If the center c of the zonotope is not the origin, we can translate the zonotope and the point
with −c. Therefore, without loss of generality c = 0 and d2 = 1 holds. Let us assume the real …
with −c. Therefore, without loss of generality c = 0 and d2 = 1 holds. Let us assume the real …