On continuous-time sparse identification of nonlinear polynomial systems

Mazen Alamir

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arXiv · 2509.17635

On continuous-time sparse identification of nonlinear polynomial systems

Mazen Alamir

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Abstract

This paper leverages recent advances in high derivatives reconstruction from noisy-time series and sparse multivariate polynomial identification in order to improve the process of parsimoniously identifying, from a small amount of data, unknown Single-Input/Single-Output nonlinear dynamics of relative degree up to 4. The methodology is illustrated on the Electronic Throttle Controlled automotive system.

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Mazen Alamir. 2025-09-22. On continuous-time sparse identification of nonlinear polynomial systems. https://arxiv.org/abs/2509.17635

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