engleski

Dynamic Mode Decomposition for Non-autonomus Systems

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.

Koopman, Dynamic Mode Decomposition

nije evidentirano