Stegink, T.W. (2012) Equivalences between behavioral representations and controllability in terms of driving variable representations. Bachelor's Thesis, Mathematics.
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Abstract
In this paper, we deal with the relationship between a rational kernel representation and an output nulling representation that a behavior admits. Similarly we deal with the relationship between a rational image representation and a driving variable representation that a behavior admits. We will establish sufficient conditions on a realization of a proper rational matrix such that the behavior induced by the kernel of this matrix is equal to the behavior of the output nulling representation yielded by this realization. Also we will look under which assumptions these conditions are also necessary. We will establish necessary and sufficient conditions on a realization of a proper rational matrix such that the behavior induced by the image of this matrix is equal to the behavior of the driving variable representation yielded by this realization. Finally necessary and sufficient conditions are found under which the (full/external) behavior induced by a driving variable represenation is controllable.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 15 Feb 2018 07:50 |
| Last Modified: | 15 Feb 2018 07:50 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/10429 |
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