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.DS2026
Global Linearization of Parameterized Nonlinear Systems with Stable Equilibrium Point Using the Koopman Operator
Natsuki Katayama, Alexandre Mauroy, Yoshihiko Susuki
The Koopman operator framework enables global analysis of nonlinear systems through its inherent linearity. This study aims to clarify spectral properties of the Koopman operators…
math.DS2024
Koopman Operators for Global Analysis of Hybrid Limit-Cycling Systems: Construction and Spectral Properties
Natsuki Katayama, Yoshihiko Susuki
This paper reports a theory of Koopman operators for a class of hybrid dynamical systems with globally asymptotically stable periodic orbits, called hybrid limit-cycling systems. W…