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arXiv · 2203.15409

On minimal LPV state-space representations in innovation form: an algebraic characterization

Elie Rouphael·Mihaly Petreczky·Lotfi Belkoura
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Abstract

In this paper we will propose a definition of the concept of minimal state-space representations in innovation form for LPV. We also present algebraic conditions for a stochastic LPV state-space representation to be minimal in forward innovation form and discuss an algorithm for transforming any stochastic LPV state-space representation to a minimal one in innovation form.

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Elie Rouphael, Mihaly Petreczky, Lotfi Belkoura. 2022-03-29. On minimal LPV state-space representations in innovation form: an algebraic characterization. https://arxiv.org/abs/2203.15409

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