Ekelenburg, J.H.C. van (2021) Necessary and sufficient conditions for impulse controllability of switched DAEs for unknown switching signals. Bachelor's Thesis, Applied Mathematics.
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Abstract
This thesis aims to provide necessary and sufficient conditions for impulse controllability of switched Differential algebraic equations (DAEs) when the switching signal is unknown. Several necessary and sufficient conditions for impulse controllability have been derived in the literature, under the supposition that the switching signal is fixed using geometric control theory. This thesis generalises these conditions such that they ensure impulse controllability when a switching signal has not been specified. Firstly, regular DAEs will be analysed through Wong sequences and the quasi-Weierstrass form. Secondly, a different solutional framework called the piecewise-smooth distributions will be introduced. Thirdly, some geometric notations regarding DAEs will be briefly covered. Afterwards, switched DAEs will be introduced formally and several notions for impulse controllability under unknown switching signals will be introduced. The results will firstly be derived from switched DAEs with 2-modes before generalising this to switched DAEs with p + 1-modes.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Trenn, S. and Peypouquet, J.G. |
| Degree programme: | Applied Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 21 Jul 2021 11:44 |
| Last Modified: | 21 Jul 2021 11:44 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/25284 |
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