Discretization of Linear Systems using the Matrix Exponential

Q: What type of study is this?

This is a Quantitative Study study.

Steven Dahdah; James Richard Forbes

doi:10.48550/arxiv.2505.18187

May 18, 2025Open Access

Discretization of Linear Systems using the Matrix Exponential

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Key Points

The method simplifies the discretization of continuous-time linear systems, improving computational efficiency.
Using a single matrix exponential allows for straightforward treatment of dynamics and input processes.
The proposed technique enhances the state-space representation of systems while minimizing numerical errors.
This approach could lead to broader applications in control theory and system modeling.

Implication

This document presents a new approach to discretization of linear systems using matrix exponential, suggesting streamlined numerical integration.

Abstract

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.

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Cite This Study

Dahdah et al. (2025) studied this question.

synapsesocial.com/papers/68da58d8c1728099cfd10fe9 https://doi.org/10.48550/arxiv.2505.18187

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Discretization of Linear Systems using the Matrix Exponential

Key Points

Implication

Abstract

Discussion

Cite This Study

Discretization of Linear Systems using the Matrix Exponential

Key Points

Implication

Abstract

Discussion

Cite This Study

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