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- W4287029260 abstract "System identification based on Koopman operator theory has grown in popularity recently. Spectral properties of the Koopman operator of a system were proven to relate to properties like invariant sets, stability, periodicity, etc. of the underlying system. Estimation of these spectral objects has become widely accessible with the numerous algorithms developed in recent years. We show how one such algorithm -- extended dynamic mode decomposition -- can be used on data from multiple outputs of a system. These outputs that are functions of state are called observables in the literature and could be known outputs like the state itself or unknown outputs like data from sensors used in systems of biological interest. To this end, we approximate the desired observables and their iterates in time using minimizers of regularized least-squares problems which have analytic solutions with heuristic provisions for expected estimates." @default.
- W4287029260 created "2022-07-25" @default.
- W4287029260 creator A5090227921 @default.
- W4287029260 date "2021-08-03" @default.
- W4287029260 modified "2023-09-26" @default.
- W4287029260 title "Extending dynamic mode decomposition to data from multiple outputs" @default.
- W4287029260 doi "https://doi.org/10.48550/arxiv.2108.01490" @default.
- W4287029260 hasPublicationYear "2021" @default.
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