### Abstract

Given an expansion of a dynamical system in terms of a generalized orthonormal (Hambo) basis, the problem of realizing a state-space model of minimal McMillan degree such that its first N expansion coefficients match the given ones is addressed and solved. For the solution use is made of the properties of the Hambo operator transform theory. The resulting realization algorithms can be applied in an exact and approximative sense and can also be applied to solve a related interpolation problem.

Original language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Pages | 3673-3678 |

Number of pages | 6 |

Volume | 4 |

Publication status | Published - 2001 |

Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: Dec 4 2001 → Dec 7 2001 |

### Other

Other | 40th IEEE Conference on Decision and Control (CDC) |
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Country | United States |

City | Orlando, FL |

Period | 12/4/01 → 12/7/01 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 4, pp. 3673-3678)

**Minimal partial realization from orthonormal basis function expansions.** / Heuberger, P. S C; De Hoog, T. J.; Van Den Hof, P. M J; Szabó, Z.; Bokor, J.

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 4, pp. 3673-3678, 40th IEEE Conference on Decision and Control (CDC), Orlando, FL, United States, 12/4/01.

}

TY - GEN

T1 - Minimal partial realization from orthonormal basis function expansions

AU - Heuberger, P. S C

AU - De Hoog, T. J.

AU - Van Den Hof, P. M J

AU - Szabó, Z.

AU - Bokor, J.

PY - 2001

Y1 - 2001

N2 - Given an expansion of a dynamical system in terms of a generalized orthonormal (Hambo) basis, the problem of realizing a state-space model of minimal McMillan degree such that its first N expansion coefficients match the given ones is addressed and solved. For the solution use is made of the properties of the Hambo operator transform theory. The resulting realization algorithms can be applied in an exact and approximative sense and can also be applied to solve a related interpolation problem.

AB - Given an expansion of a dynamical system in terms of a generalized orthonormal (Hambo) basis, the problem of realizing a state-space model of minimal McMillan degree such that its first N expansion coefficients match the given ones is addressed and solved. For the solution use is made of the properties of the Hambo operator transform theory. The resulting realization algorithms can be applied in an exact and approximative sense and can also be applied to solve a related interpolation problem.

UR - http://www.scopus.com/inward/record.url?scp=0035713287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035713287&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0035713287

VL - 4

SP - 3673

EP - 3678

BT - Proceedings of the IEEE Conference on Decision and Control

ER -