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eess.SY2026
On Koopman Resolvents and Frequency Response of Nonlinear Systems
Yoshihiko Susuki, Natsuki Katayama, Alexandre Mauroy +1
This paper proposes a novel formulation of frequency response for nonlinear systems in the Koopman operator framework. This framework is a promising direction for the analysis and…
eess.SY2024
Koopman operator based identification of nonlinear networks
Ramachandran Anantharaman, Alexandre Mauroy
In this work, we develop a method to identify continuous-time nonlinear networked dynamics via the Koopman operator framework. The proposed technique consists of two steps: the fir…
eess.SY2024
Dynamic Mode Decomposition with Non-uniform Sampling
Ramachandran Anantharaman, Alexandre Mauroy
Dynamic Mode Decomposition (DMD) and its extensions (EDMD) have been at the forefront of data-based approaches to Koopman operators. Most (E)DMD algorithms assume that the entire s…