Results 1 to 10 of about 2,367 (75)

Zonotopic Linear Parameter Varying SLAM Applied to Autonomous Vehicles [PDF]

open access: yesSensors, 2022
This article presents an approach to address the problem of localisation within the autonomous driving framework. In particular, this work takes advantage of the properties of polytopic Linear Parameter Varying (LPV) systems and set-based methodologies ...
Marc Facerias   +2 more
doaj   +2 more sources

Polytopes from Subgraph Statistics [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
We study polytopes that are convex hulls of vectors of subgraph densities. Many graph theoretical questions can be expressed in terms of these polytopes, and statisticians use them to understand exponential random graph models.
Alexander Engström, Patrik Norén
doaj   +4 more sources

Zonotope-Based State Estimation for Boost Converter System with Markov Jump Process [PDF]

open access: yesMicromachines
This article investigates the zonotope-based state estimation for boost converter system with Markov jump process. DC-DC boost converters are pivotal in modern power electronics, enabling renewable energy integration, electric vehicle charging, and ...
Chaoxu Guan   +3 more
doaj   +2 more sources

Safety Verification of Networked Control Systems by Complex Zonotopes [PDF]

open access: yesLeibniz Transactions on Embedded Systems, 2022
Networked control systems (NCS) are widely used in real world applications because of their advantages, such as remote operability and reduced installation costs.
Adimoolam, Arvind, Dang, Thao
doaj   +1 more source

Reliability–Aware Zonotopic Tube–Based Model Predictive Control of a Drinking Water Network

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2022
A robust economic model predictive control approach that takes into account the reliability of actuators in a network is presented for the control of a drinking water network in the presence of uncertainties in the forecasted demands required for the ...
Khoury Boutrous   +2 more
doaj   +1 more source

Structure of spaces of rhombus tilings in the lexicograhic case [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
Rhombus tilings are tilings of zonotopes with rhombohedra. We study a class of \emphlexicographic rhombus tilings of zonotopes, which are deduced from higher Bruhat orders relaxing the unitarity condition.
Éric Rémila
doaj   +1 more source

Geometry of Multiprimary Display Colors I: Gamut and Color Control

open access: yesIEEE Access, 2021
Displays that render colors using combinations of more than three lights are referred to as multiprimary displays. For multiprimary displays, the gamut, i.e., the range of colors that can be rendered using additive combinations of an arbitrary number of ...
Gaurav Sharma   +1 more
doaj   +1 more source

Set-Valued Shadow Matching Using Zonotopes for 3D-Map-Aided GNSS Localization

open access: yesNavigation, 2022
Unlike many urban localization methods that return point-valued estimates, a set-valued representation enables robustness by ensuring that a continuum of possible positions obeys safety constraints.
Sriramya Bhamidipati   +2 more
doaj   +1 more source

Interpolation, box splines, and lattice points in zonotopes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
Given a finite list of vectors $X \subseteq \mathbb{R}^d$, one can define the box spline $B_X$. Box splines are piecewise polynomial functions that are used in approximation theory. They are also interesting from a combinatorial point of view and many of
Matthias Lenz
doaj   +1 more source

Provably Safe Reinforcement Learning via Action Projection Using Reachability Analysis and Polynomial Zonotopes

open access: yesIEEE Open Journal of Control Systems, 2023
While reinforcement learning produces very promising results for many applications, its main disadvantage is the lack of safety guarantees, which prevents its use in safety-critical systems.
Niklas Kochdumper   +4 more
doaj   +1 more source

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