University of Twente Student Theses
Positivity and LTI systems
Fazry, O. (2024) Positivity and LTI systems.
|
PDF
1MB |
| Abstract: | This paper investigates the external and internal positivity of standard linear systems, in which the input function is restricted to be positive. By using cone-invariant matrix operators, we find parametric conditions on a system such that its state is contained within a proper convex cone. Then, by use of the dual of said proper cone, we first establish sufficient conditions for external positivity. From this result, we find conditions for internal positivity based on the external positivity of an analog system. Lastly, we investigate internal positivity independently of its external counterpart. |
| Item Type: | Essay (Bachelor) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics |
| Programme: | Applied Mathematics BSc (56965) |
| Link to this item: | https://purl.utwente.nl/essays/102112 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
Show download statistics for this publication
Show download statistics for this publicationRepository Staff Only: item control page