Together with my PhD-students we have prepared the following two submission to the IFAC World Congress 2020 to be held in Berlin next year:
Wijnbergen, Paul; Jeeninga, Mark; Trenn, Stephan On stabilizability of switched differential algebraic equations Inproceedings Proc. IFAC World Congress 2020, Berlin, Germany, 2020, (to appear). @inproceedings{WijnJeen20, title = {On stabilizability of switched differential algebraic equations}, author = {Paul Wijnbergen and Mark Jeeninga and Stephan Trenn}, url = {https://stephantrenn.net/wp-content/uploads/2019/12/Preprint-WJT200506.pdf, Preprint}, year = {2020}, date = {2020-07-06}, booktitle = {Proc. IFAC World Congress 2020, Berlin, Germany}, abstract = {This paper considers stabilizability of switched differential algebraic equations (DAEs). We first introduce the notion of interval stabilizability and show that under a certain uniformity assumption, stabilizability can be concluded from interval stabilizability. A geometric approach is taken to find necessary and sufficient conditions for interval stabilizability. This geometric approach can also be utilized to derive a novel characterization of controllability.}, note = {to appear}, keywords = {}, pubstate = {published}, tppubtype = {inproceedings} } This paper considers stabilizability of switched differential algebraic equations (DAEs). We first introduce the notion of interval stabilizability and show that under a certain uniformity assumption, stabilizability can be concluded from interval stabilizability. A geometric approach is taken to find necessary and sufficient conditions for interval stabilizability. This geometric approach can also be utilized to derive a novel characterization of controllability. |
Hossain, Sumon; Trenn, Stephan A time-varying Gramian based model reduction approach for Linear Switched Systems Inproceedings Proc. IFAC World Congress 2020, Berlin, Germany, 2020, (to appear). @inproceedings{HossTren20, title = {A time-varying Gramian based model reduction approach for Linear Switched Systems}, author = {Sumon Hossain and Stephan Trenn}, url = {https://stephantrenn.net/wp-content/uploads/2019/12/Preprint-HT200505.pdf, Preprint}, year = {2020}, date = {2020-07-05}, booktitle = {Proc. IFAC World Congress 2020, Berlin, Germany}, abstract = {We propose a model reduction approach for switched linear system based on a balanced truncation reduction method for linear time-varying systems. The key idea is to approximate the piecewise-constant coefficient matrices with continuous time-varying coefficients and then apply available balance truncation methods for (continuous) time-varying systems. The proposed method is illustrated with a low dimensional academic example.}, note = {to appear}, keywords = {}, pubstate = {published}, tppubtype = {inproceedings} } We propose a model reduction approach for switched linear system based on a balanced truncation reduction method for linear time-varying systems. The key idea is to approximate the piecewise-constant coefficient matrices with continuous time-varying coefficients and then apply available balance truncation methods for (continuous) time-varying systems. The proposed method is illustrated with a low dimensional academic example. |