### Abstract

In this paper, the problem of the characteristic polynomial assignment (CPA) for linear shift invariant single-input single-output (SISO) two-dimensional (2-D) systems is considered. Specifically, it is shown that the use of the Fornasini-Marchesini canonical state space model representation facilitates the determination of a feedback control law for assigning a 2-D characteristic polynomial, and always results in a solution to the CPA problem. As for the proof, the well known Bass-Gura method is used. The simplicity and efficiency of the method is illustrated by several examples.

Original language | English |
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Pages (from-to) | 297-305 |

Number of pages | 9 |

Journal | Control, theory and advanced technology |

Volume | 10 |

Issue number | 2 |

State | Published - 1 Jun 1994 |

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## Cite this

Antoniou, G. E., & Mentzelopoulou, S. E. (1994). Note on the characteristic polynomial assignment problem for 2-D systems.

*Control, theory and advanced technology*,*10*(2), 297-305.