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Stephan Trenn
Stephan Trenn

Stephan Trenn

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Posted on 2019-12-062019-12-06 by stephan

Two submission to IFAC WC ’20

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).

Abstract | Links | BibTeX

@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}
}

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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.

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  • Preprint

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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).

Abstract | Links | BibTeX

@inproceedings{HossTren20a,
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}
}

Close

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.

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  • Preprint

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