arxiveess.SYcs.LG2026-07-02
Koopman operator theory: fundamentals, control, and applications
Igor Mezić, Jorge Cortés, Karl Worthmann, Mircea Lazar, Armin Lederer
The Koopman operator has gained considerable attention due to its ability to provide a global linear representation of highly complex dynamical systems. The operator describes nonlinear dynamics in a linear way through the lens of real- or complex-valued observable functions. Rec…