8 citations · 10 across the 3 of their papers we have counts for
3 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.AP2023★ 2 cited
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…
math.AP2021★ 8 cited
On a nodal observer for a semilinear model for the flow in gas networks
Martin Gugat, Jan Giesselmann, Teresa Kunkel
The flow of gas through networks of pipes can be modeled by coupling hyperbolic systems of partial differential equations that describe the flow through the pipes that form the edg…