3 papers
math.NA2026
Three-term recurrence iterations for energy-based models
R. Altmann, J. Ramme, P. Schulze
It is well-known that the midpoint rule preserves the dissipation inequality if applied to a certain class of energy-based models. We introduce an appropriate scaling of the state…
math.OC2026
Approximations of the Mortensen observer using higher order extended Kalman filters
Tobias Breiten, Justus Ramme, Jesper Schröder
A polynomial approximation of the minimum energy estimator, also called Mortensen observer, is discussed. The method relies on successive differentiations of an underlying value fu…
math.DS2025
Passivity encoding representations of nonlinear systems
Attila Karsai, Tobias Breiten, Justus Ramme +1
Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. Additionally, algebraically encoding…