## Abstract

In this paper, we investigate the pole assignment problem by using the static output feedback which is associated with the linear discrete-time systems. This problem is always solvable if the relative open-loop systems are completely controllable (or observable). Particularly, it is proven that two subproblems, one linear and the other multilinear, both equivalent to the initial problem, are derived. Solution(s) of the linear must be decomposable and an appropriate Grassmann variety is obtained. Already well known methods are used for the computation of the reduced set of quadratic Plucker relations, which fully describe the specific Grassmann variety. Using these relations and the generalized inverse theory, the multilinear problem is also solved and consequently the exact calculation of static matrix is derived. We conclude by presenting an illustrative example.

Original language | English |
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Title of host publication | Proceedings of the 8th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering |

Subtitle of host publication | Advanced Topics in Scattering and Biomedical Engineering |

Publisher | World Scientific Publishing |

Pages | 150-161 |

Number of pages | 12 |

ISBN (Print) | 9812814841, 9789812814845 |

Publication status | Published - 2008 |

Externally published | Yes |

Event | International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering 2007 - Lefkada, Greece Duration: 27 Sep 2007 → 29 Sep 2007 Conference number: 8th |

### Workshop

Workshop | International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering 2007 |
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Country/Territory | Greece |

City | Lefkada |

Period | 27/09/07 → 29/09/07 |