Neyman, Gniewko (2024) Geometric Characterisation of Passive Linear Systems. Bachelor's Thesis, Applied Mathematics.
![[img]](https://fse.studenttheses.ub.rug.nl/style/images/fileicons/text.png) |
Text
toestemming_ Gniewko Neyman _ degree programme_ Applied Mathematics.pdf Restricted to Registered users only Download (131kB) |
|
|
Text
bAppM_2024_NeymanGJ.pdf Download (356kB) | Preview |
Abstract
This thesis applies the geometric approach to control theory of linear systems to the class of passive linear systems. The assumption of passivity of a given linear system proves to be so restrictive, that explicit characterisations of the weakly unobservable subspace, the strongly reachable subspace, as well as their intersection and sum, can be given in terms of subspaces of the matrices $A, B, C, D$ that fully encompass the dynamics of the system. The thesis provides these, as well as their derivations, and the relevant restrictions that passivity imposes. Lastly, these results are applied to the nine-fold canonical decomposition of a general linear system, from which a six-fold decomposition is derived.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Camlibel, M.K. and Besselink, B. |
| Degree programme: | Applied Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 10 Jul 2024 12:30 |
| Last Modified: | 10 Jul 2024 12:30 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/33006 |
Actions (login required)
 |
View Item |