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Positivity and LTI systems

Fazry, O. (2024) Positivity and LTI systems.

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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
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