Publications

@misc{WijnTren22mb,

title = {Linear quadratic optimal control of switched differential algebraic equations},

author = {Paul Wijnbergen and Stephan Trenn},

url = {https://epub.uni-bayreuth.de/id/eprint/6809/, Book of Extended Abstracts

https://stephantrenn.net/wp-content/uploads/2023/01/WijnTren22mb.pdf, Extended Abstract},

year  = {2022},

date = {2022-09-12},

urldate = {2022-09-12},

abstract = {In this abstract the finite horizon linear quadratic optimal control problem with constraints on the terminal state for switched differential algebraic equations is considered. Furthermore, we seek for an optimal solution that is impulse-free. In order to solve the problem, a non standard finite horizon problem for non-switched DAEs is considered. Necessary and sufficient conditions on the initial value x0 for solvability of this non standard problem are stated. Based on these results a sequence of subspaces can be defined which lead to necessary and sufficient conditions for solvability of the finite horizon optimal control problem for switched DAEs.},

howpublished = {Extended Abstracts of the 25th International Symposium on Mathematical Theory of Networks and Systems},

keywords = {DAEs, open-access, optimal-control, switched-DAEs, switched-systems},

pubstate = {published},

tppubtype = {misc}

}