3 papers
eess.SY2026
On Koopman Resolvents and Frequency Response of Nonlinear Systems
Yoshihiko Susuki, Natsuki Katayama, Alexandre Mauroy +1
This paper proposes a novel formulation of frequency response for nonlinear systems in the Koopman operator framework. This framework is a promising direction for the analysis and…
math.OC2025
Two Roads to Koopman Operator Theory for Control: Infinite Input Sequences and Operator Families
Masih Haseli, Igor Mezić, Jorge Cortés
The Koopman operator, originally defined for dynamical systems without input, has inspired many applications in control. Yet, the theoretical foundations underpinning this progress…
math.DS2023
Operator is the Model
Igor Mezić
Koopman operator based models emerged as the leading methodology for machine learning of dynamical systems. But their scope is much larger. In fact they present a new take on model…