Partial-realization theory and algorithms for linear switched systems: A formal power series approach

Mihaly Petreczky; Jan H. van Schuppen

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arXiv · 1010.5160

Partial-realization theory and algorithms for linear switched systems: A formal power series approach

Mihaly Petreczky·Jan H. van Schuppen

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Abstract

The paper presents partial-realization theory and realization algorithms for linear switched systems. Linear switched systems are a particular subclass of hybrid systems. We formulate a notion of a partial realization and we present conditions for existence of a minimal partial realization. We propose two partial-realization algorithms and we show that under certain conditions they yield a complete realization. Our main tool is the theory of rational formal power series.

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BibTeX RIS

Mihaly Petreczky, Jan H. van Schuppen. 2010-10-25. Partial-realization theory and algorithms for linear switched systems: A formal power series approach. https://arxiv.org/abs/1010.5160

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