2 papers
math.AP2024
Identification of minimal number of measurements allowing synchronization of a nodal observer for the wave equation
Jan Giesselmann, Teresa Kunkel
We study a state estimation problem for a linear hyperbolic system on networks with eigenvalues with opposite signs. The system can be seen as a simplified model for ga…
math.AP2024
Observer-based data assimilation for barotropic gas transport using distributed measurements
Jan Giesselmann, Martin Gugat, Teresa Kunkel
We consider a state estimation problem for gas pipeline flow modeled by the one-dimensional barotropic Euler equations. In order to reconstruct the system state, we construct an ob…