Our paper
Borsche, Raul; Kocoglu, Damla; Trenn, Stephan A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs Journal Article Mathematics of Control, Signals, and Systems (MCSS), 2020, (Open Access). @article{BorsKoco20, title = {A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs}, author = {Raul Borsche and Damla Kocoglu and Stephan Trenn}, url = {https://stephantrenn.net/wp-content/uploads/2020/11/23-MCSS2020.pdf, Paper}, doi = {10.1007/s00498-020-00267-7}, year = {2020}, date = {2020-11-18}, journal = {Mathematics of Control, Signals, and Systems (MCSS)}, abstract = {A distributional solution framework is developed for systems con- sisting of linear hyperbolic partial differential equations (PDEs) and switched differential-algebraic equations (DAEs) which are coupled via boundary conditions. The unique solvability is then characterize in terms of a switched delay DAE. The theory is illustrated with an example of electric power lines modeled by the telegraph equations which are coupled via a switching transformer where simulations confirm the predicted impulsive solutions.}, note = {Open Access}, keywords = {}, pubstate = {published}, tppubtype = {article} } A distributional solution framework is developed for systems con- sisting of linear hyperbolic partial differential equations (PDEs) and switched differential-algebraic equations (DAEs) which are coupled via boundary conditions. The unique solvability is then characterize in terms of a switched delay DAE. The theory is illustrated with an example of electric power lines modeled by the telegraph equations which are coupled via a switching transformer where simulations confirm the predicted impulsive solutions. |