2 papers
math.DS2026
Koopman-based stability analysis of differential-algebraic equations with applications to frictional multibody systems
Alexander Schütz, Fabia Bayer, Remco I. Leine
Periodic solutions of differential-algebraic equations (DAEs) and ordinary differential equations (ODEs) can be determined using the harmonic balance method (HBM), which is a frequ…
math.NA2025
Explicit error bounds and guaranteed convergence of the Koopman-Hill projection stability method for linear time-periodic dynamics
Fabia Bayer, Remco I. Leine
The Koopman-Hill projection method offers an efficient approach for stability analysis of linear time-periodic systems, and thereby also for the Floquet stability analysis of perio…