Discretization of Linear Systems using the Matrix Exponential

Fuente: arXiv
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Hauptverfasser: Dahdah, Steven, Forbes, James Richard
Format: Preprint
Veröffentlicht: 2025
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author Dahdah, Steven
Forbes, James Richard
author_facet Dahdah, Steven
Forbes, James Richard
contents Discretizing continuous-time linear systems typically requires numerical integration. This document presents a convenient method for discretizing the dynamics, input, and process noise state-space matrices of a continuous-time linear system using a single matrix exponential.
format Preprint
id arxiv_https___arxiv_org_abs_2505_18187
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Discretization of Linear Systems using the Matrix Exponential
Dahdah, Steven
Forbes, James Richard
Systems and Control
Robotics
Discretizing continuous-time linear systems typically requires numerical integration. This document presents a convenient method for discretizing the dynamics, input, and process noise state-space matrices of a continuous-time linear system using a single matrix exponential.
title Discretization of Linear Systems using the Matrix Exponential
topic Systems and Control
Robotics
url https://arxiv.org/abs/2505.18187