### 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

*Control, theory and advanced technology*,

*10*(2), 297-305.

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*Control, theory and advanced technology*, vol. 10, no. 2, pp. 297-305.

**Note on the characteristic polynomial assignment problem for 2-D systems.** / Antoniou, George; Mentzelopoulou, S. E.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Note on the characteristic polynomial assignment problem for 2-D systems

AU - Antoniou, George

AU - Mentzelopoulou, S. E.

PY - 1994/6/1

Y1 - 1994/6/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0028445916&partnerID=8YFLogxK

M3 - Article

VL - 10

SP - 297

EP - 305

JO - Control, theory and advanced technology

JF - Control, theory and advanced technology

SN - 0911-0704

IS - 2

ER -