Minimal realizations of input-output behaviors by LPV state-space representations with affine dependency

Mihály Petreczky; Roland Tóth; Guillaume Mercère

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arXiv · 2305.08508

Minimal realizations of input-output behaviors by LPV state-space representations with affine dependency

Mihály Petreczky·Roland Tóth·Guillaume Mercère

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Abstract

The paper makes the first steps towards a behavioral theory of LPV state-space representations with an affine dependency on scheduling, by characterizing minimality of such state-space representations. It is shown that minimality is equivalent to observability, and that minimal realizations of the same behavior are isomorphic.Finally, we establish a formal relationship between minimality of LPV state-space representations with an affine dependence on scheduling and minimality of LPV state-space representations with a dynamic and meromorphic dependence on scheduling.

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Mihály Petreczky, Roland Tóth, Guillaume Mercère. 2023-05-15. Minimal realizations of input-output behaviors by LPV state-space representations with affine dependency. https://arxiv.org/abs/2305.08508

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