engleski

The application of Koopman operator-based algorithms to dynamical systems

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.

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

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