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The potential for numerical instabilities of Dynamic Mode Decomposition (DMD), which assumes the completeness of the eigenspace is discussed for cases where the underlying system is defective or nearly defective.… Click to show full abstract
The potential for numerical instabilities of Dynamic Mode Decomposition (DMD), which assumes the completeness of the eigenspace is discussed for cases where the underlying system is defective or nearly defective. A numerically stable approach based on Schur decomposition is presented. The proposed method complements the DMD for cases where eigendecomposition is ill-conditioned. Both mathematical analysis and the results of numerical experiments are presented.
Keywords:
nearly defective;
decomposition;
stable dynamic;
numerically stable;
dynamic mode;
mode decomposition
Journal Title: IEEE Control Systems Letters
Year Published: 2021
Link to full text (if available)
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Journal Title: IEEE Control Systems Letters
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!