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Output Dynamic Mode Decomposition: An Extension of Dynamic Mode Decomposition Based on Output Functional Expansions

Authors: Thordur Runolfsson;

Output Dynamic Mode Decomposition: An Extension of Dynamic Mode Decomposition Based on Output Functional Expansions

Abstract

In this paper we present an extension of Dynamic Mode Deecomposition (DMD) that is based on expansions of the Koopman operator for a nonlinear discrete time system and a corresponding expansion of an output equation. The resulting approach, termed Output Dynamic Mode Decomposition (ODMD), is an alternative to Extended Dynamic Mode Decomposition that does not require a preselected dictionary but uses dictionary like functions that are generated by the an identification procedure.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Average
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