English

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

Optimization and Control 2010-10-26 v1

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.

Keywords

Cite

@article{arxiv.1010.5160,
  title  = {Partial-realization theory and algorithms for linear switched systems: A formal power series approach},
  author = {Mihaly Petreczky and Jan H. van Schuppen},
  journal= {arXiv preprint arXiv:1010.5160},
  year   = {2010}
}
R2 v1 2026-06-21T16:33:47.038Z