### Abstract

In this paper, it is shown that any arbitrary 2-D polynomial system matrix can be reduced by zero coprime system equivalence to a generalized state space form. The exact form of both the generalized state space (GSS) system matrix and the transformation linking it to the original system matrix are established.

Original language | English |
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Title of host publication | European Control Conference, ECC 2003 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 1611-1615 |

Number of pages | 5 |

ISBN (Print) | 9783952417379 |

Publication status | Published - Apr 13 2003 |

Event | 2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom Duration: Sep 1 2003 → Sep 4 2003 |

### Other

Other | 2003 European Control Conference, ECC 2003 |
---|---|

Country | United Kingdom |

City | Cambridge |

Period | 9/1/03 → 9/4/03 |

### Fingerprint

### Keywords

- 2-D Systems
- Generalized State Space Form
- Invariant Polynomials
- System Matrix
- Zero Coprime System Equivalence

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*European Control Conference, ECC 2003*(pp. 1611-1615). [7085193] Institute of Electrical and Electronics Engineers Inc..

**On the reduction of an arbitrary 2-D polynomial matrix to GSS form.** / Boudellioua, M. S.; Chentouf, B.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*European Control Conference, ECC 2003.*, 7085193, Institute of Electrical and Electronics Engineers Inc., pp. 1611-1615, 2003 European Control Conference, ECC 2003, Cambridge, United Kingdom, 9/1/03.

}

TY - GEN

T1 - On the reduction of an arbitrary 2-D polynomial matrix to GSS form

AU - Boudellioua, M. S.

AU - Chentouf, B.

PY - 2003/4/13

Y1 - 2003/4/13

N2 - In this paper, it is shown that any arbitrary 2-D polynomial system matrix can be reduced by zero coprime system equivalence to a generalized state space form. The exact form of both the generalized state space (GSS) system matrix and the transformation linking it to the original system matrix are established.

AB - In this paper, it is shown that any arbitrary 2-D polynomial system matrix can be reduced by zero coprime system equivalence to a generalized state space form. The exact form of both the generalized state space (GSS) system matrix and the transformation linking it to the original system matrix are established.

KW - 2-D Systems

KW - Generalized State Space Form

KW - Invariant Polynomials

KW - System Matrix

KW - Zero Coprime System Equivalence

UR - http://www.scopus.com/inward/record.url?scp=84949099635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84949099635&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84949099635

SN - 9783952417379

SP - 1611

EP - 1615

BT - European Control Conference, ECC 2003

PB - Institute of Electrical and Electronics Engineers Inc.

ER -