### Uittreksel

Taal | Engels |
---|---|

Titel | 2018 57th IEEE Conference on Decision and Control |

Uitgeverij | Institute of Electrical and Electronics Engineers (IEEE) |

Pagina's | 3217-3222 |

Aantal pagina's | 6 |

DOI's | |

Status | Gepubliceerd - dec 2018 |

Evenement | 57th IEEE Conference on Decision and Control, CDC 2018 - Miami, Verenigde Staten van Amerika Duur: 17 dec 2018 → 19 dec 2018 Congresnummer: 57 |

### Congres

Congres | 57th IEEE Conference on Decision and Control, CDC 2018 |
---|---|

Verkorte titel | CDC 2018 |

Land | Verenigde Staten van Amerika |

Stad | Miami |

Periode | 17/12/18 → 19/12/18 |

### Vingerafdruk

### Trefwoorden

### Citeer dit

*2018 57th IEEE Conference on Decision and Control*(blz. 3217-3222). Institute of Electrical and Electronics Engineers (IEEE). DOI: 10.1109/CDC.2018.8619575

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*2018 57th IEEE Conference on Decision and Control.*Institute of Electrical and Electronics Engineers (IEEE), blz. 3217-3222, Miami, Verenigde Staten van Amerika, 17/12/18. DOI: 10.1109/CDC.2018.8619575

**A novel Krylov method for model order reduction of quadratic bilinear systems.** / Cao, X.; Maubach, J.M.L.; Weiland, S.; Schilders, W.H.A.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - A novel Krylov method for model order reduction of quadratic bilinear systems

AU - Cao,X.

AU - Maubach,J.M.L.

AU - Weiland,S.

AU - Schilders,W.H.A.

PY - 2018/12

Y1 - 2018/12

N2 - A novel Krylov subspace method is proposed to substantially reduce the computational complexity of the special class of quadratic bilinear dynamical systems. Based on the first two generalized transfer functions of the system, a Petrov-Galerkin projection scheme is applied. It is shown that such a projection amounts to interpolating the transfer functions at specific points which, in fact, is equivalent to constructing the corresponding Krylov subspace. For single-input single-output systems, the relevant Krylov subspace can be readily constructed for the interpolation points. For multi-input multi-output systems, also user-specified directional information is required so that a tangential interpolation can be determined. The method is demonstrated on a model of a nonlinear transmission line that is reduced from 100 to 10 states with a negligible relative error. In a second application the method is applied to the FitzHugh-Nagumo model.

AB - A novel Krylov subspace method is proposed to substantially reduce the computational complexity of the special class of quadratic bilinear dynamical systems. Based on the first two generalized transfer functions of the system, a Petrov-Galerkin projection scheme is applied. It is shown that such a projection amounts to interpolating the transfer functions at specific points which, in fact, is equivalent to constructing the corresponding Krylov subspace. For single-input single-output systems, the relevant Krylov subspace can be readily constructed for the interpolation points. For multi-input multi-output systems, also user-specified directional information is required so that a tangential interpolation can be determined. The method is demonstrated on a model of a nonlinear transmission line that is reduced from 100 to 10 states with a negligible relative error. In a second application the method is applied to the FitzHugh-Nagumo model.

KW - Model order reduction

KW - Krylov methods

KW - Quadratic-bilinear systems

U2 - 10.1109/CDC.2018.8619575

DO - 10.1109/CDC.2018.8619575

M3 - Conference contribution

SP - 3217

EP - 3222

BT - 2018 57th IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -