Naslov
The application of Koopman operator-based algorithms to dynamical systems

Autori
Črnjarić-Žic, Nelida

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

Izvornik
EQUADIFF 15 - Conference on Differential Equations and Their Applications / - Brno, 2022, 1-1

Skup
EQUADIFF 15 - Conference on Differential Equations and Their Applications

Mjesto i datum
Brno, Češka Republika, 11.07.2022. - 15.07.2022

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Koopman-operator based algorithms, fluid flow dynamics, HVAC systems

Sažetak
The goal of this paper is to analyze various dynamical systems using algorithms based on the Koopman operator. The Koopman operator provides an alternative approach to describing the evolution of a dynamical system. It is a linear infinite-dimensional operator, so the analysis is based on the study of the spectral properties of this operator. The Koopman operator-based data-driven algorithms make it possible to identify the spectral elements of the Koopman operator from data. They can then be used to analyze the behavior of the system under consideration, to reconstruct or predict the system dynamics, and as a tool to reduce the dimensionality of the data provided. In this work, the algorithms are applied to data obtained from various dynamical systems, e.g., data from HVAC systems, fluid flow systems, etc. The corresponding discussions and analyzes were performed on the observed examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti, Interdisciplinarne tehničke znanosti

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