Below you find an interactive list of all my publications, which can be filtered by keywords, year, publication type and coauthors. There are also static lists of my books/book-chapters as well as journal-, conference-, and submitted publications.
2021
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Wijnbergen, Paul; Trenn, Stephan Optimal control of DAEs with unconstrained terminal costs Unpublished 2021, (submitted). Abstract | Links | BibTeX | Tags: DAEs, optimal control, switched-DAEs, switched-systems @unpublished{WijnTren21pp,
title = {Optimal control of DAEs with unconstrained terminal costs},
author = {Paul Wijnbergen and Stephan Trenn},
url = {https://stephantrenn.net/wp-content/uploads/2021/03/Preprint-WT210317.pdf, Preprint},
year = {2021},
date = {2021-03-17},
abstract = {This paper is concerned with the linear quadratic optimal control problem for impulse controllable differential algebraic equations on a bounded half open interval. With respect to the cost functional, a general positive semi-definite weight matrix is considered in the terminal cost. It is shown that for this problem, there generally does not exist an input that minimizes the cost functional. First it is shown that the problem can be reduced to finding an input to an index-1 DAE that minimizes a different quadratic cost functional. Second, necessary and sufficient conditions in terms of matrix equations are given for the existence of an optimal control are stated.},
note = {submitted},
keywords = {DAEs, optimal control, switched-DAEs, switched-systems},
pubstate = {published},
tppubtype = {unpublished}
}
This paper is concerned with the linear quadratic optimal control problem for impulse controllable differential algebraic equations on a bounded half open interval. With respect to the cost functional, a general positive semi-definite weight matrix is considered in the terminal cost. It is shown that for this problem, there generally does not exist an input that minimizes the cost functional. First it is shown that the problem can be reduced to finding an input to an index-1 DAE that minimizes a different quadratic cost functional. Second, necessary and sufficient conditions in terms of matrix equations are given for the existence of an optimal control are stated. |
