### Résumé

dimensional systems. Theoretical convergence results are also provided.

langue originale | Anglais |
---|---|

titre | Proceedings of the SICE Conference |

Pages | 64-67 |

Nombre de pages | 4 |

état | Publié - sept. 2018 |

### Empreinte digitale

### Citer ceci

*Proceedings of the SICE Conference*(p. 64-67)

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*Proceedings of the SICE Conference.*p. 64-67.

**Dual systems identification methods based on Koopman operator theory.** / Mauroy, Alexandre; Goncalves, Jorge.

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

TY - GEN

T1 - Dual systems identification methods based on Koopman operator theory

AU - Mauroy, Alexandre

AU - Goncalves, Jorge

PY - 2018/9

Y1 - 2018/9

N2 - We report our recent developments on Koopman operator lifting techniques for system identification and parameter estimation. We present two methods, which are based on the key idea of identifying the Koopman operator in a lifted space of observables, but rely on two different finite-dimensional approximations of the Koopman operator. The first method is a parametric technique which reconstructs the vector field using a dictionary of library functions. The second method can be seen as a dual approach and provides estimates of the vector field at the data points. We compare the performances of these two methods and consider largedimensional systems. Theoretical convergence results are also provided.

AB - We report our recent developments on Koopman operator lifting techniques for system identification and parameter estimation. We present two methods, which are based on the key idea of identifying the Koopman operator in a lifted space of observables, but rely on two different finite-dimensional approximations of the Koopman operator. The first method is a parametric technique which reconstructs the vector field using a dictionary of library functions. The second method can be seen as a dual approach and provides estimates of the vector field at the data points. We compare the performances of these two methods and consider largedimensional systems. Theoretical convergence results are also provided.

KW - Nonlinear systems identification

KW - parameter estimation

KW - Koopman operator

KW - lifting techniques

M3 - Conference contribution

SP - 64

EP - 67

BT - Proceedings of the SICE Conference

ER -