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Regularity Tests for Pattern DAEs

Tamba, Leonardus (2023) Regularity Tests for Pattern DAEs. Bachelor's Thesis, Applied Mathematics.


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This thesis will use a graph theoretical approach in the framework of the regularity of DAEs. The DAEs considered will be of the pattern matrix form. The method used in this thesis will follow one of the literature on strong structural controllability, where they also used a graph theoretical approach. Some necessary and sufficient conditions surrounding regularity will be discussed. Beforehand, some preliminaries on regular DAE, Weierstrass Canonical Form, Nilpotent DAE, graph theory, and pattern matrix will be introduced. Then, a rank test based on graph theory will be introduced. And lastly, a necessary condition on the nilpotency of a DAE along with some sufficient conditions on the regularity of a DAE will be introduced.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Trenn, S. and Waarde, H.J. van
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 19 Apr 2023 09:18
Last Modified: 19 Apr 2023 09:18

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