Naslov
Dynamic Mode Decomposition for Non-autonomus Systems

Autori
Crnković, Bojan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
5th Najman Conference on Spectral Theory and Differential Equations book of abstarcts / - , 2017, 1-1

Skup
5th Najman Conference on Spectral Theory and Differential Equations

Mjesto i datum
Opatija, Hrvatska, 10.09.2017. - 15.09.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Koopman, Dynamic Mode Decomposition

Sažetak
Numerical approximation of the Koopman operator gained attention in recent years because of the wide range of applications that was enabled by a data driven approach to approximation of spectral objects of Koopman operator. There are many different approaches to this problem but Dynamic Mode Decomposition (DMD) has shown to be a powerful tool for the analysis of nonlinear autonomous systems. However, existing DMD theory deals with autonomous systems and periodic and quasi-periodic forcing of the system. In this paper we propose an extension of Koopman operator framework from usual autonomous system setting to general non-autonomous setting with applications on linear and nonlinear dynamical systems. We propose a data driven algorithm based on DMD algorithm to obtain a time dependent finite dimensional approximation of Koopman operator.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA