Sparse identification of time delay systems via pseudospectral collocation

2024/08/04 by Enrico Bozzo, Bozzo, Enrico, Dimitri Breda +3 · 2 citations
Chemistry · Computer Science · Engineering · #Blind Source Separation Techniques #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical Analysis (math.NA) #Spectroscopy and Chemometric Analyses

paper · pdf · doi:10.48550/arxiv.2408.01971

openalex publication_date 2024/08/04 · openalex created_date 2024/10/14 · openalex updated_date 2026/07/28

Abstract

We present a pragmatic approach to the sparse identification of nonlinear dynamics for systems with discrete delays. It relies on approximating the underlying delay model with a system of ordinary differential equations via pseudospectral collocation. To minimize the reconstruction error, the new strategy avoids optimizing all possible multiple unknown delays, identifying only the maximum one. The computational burden is thus greatly reduced, improving the performance of recent implementations that work directly on the delay system.

Cited by

• Sparse identification of delay equations with distributed memory
• Sparse Identification of Nonlinear Dynamics for Stochastic Delay Differential Equations

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