## Title data

Grüne, Lars ; Worthmann, Karl:

**Sampled-data redesign for nonlinear multi-input systems.**

*In:* Ancona, Fabio ; Bressan, Alberto ; Cannarsa, Piermarco ; Clarke, Francis ; Wolenski, Peter R.
(ed.):
Geometric Control And Nonsmooth Analysis : in honor of the 73rd birthday of H. Hermes and the 71st birthday of R. T. Rockafellar. -
New Jersey, NJ
: World Scientific
,
2011
. - pp. 206-227
. - (Series on Advances in Mathematics for Applied Sciences
; 76
)

ISBN 978-981-277-606-8

DOI: https://doi.org/10.1142/9789812776075_0011

## Abstract in another language

We investigate the sampled-data redesign problem for nonlinear control affine multi-input systems and consider sampled-data feedback laws for which the trajectories of the sampled-data closed loop system converge to the continuous time trajectories with a prescribed rate of convergence as sampling time vanishes. We analyze geometric conditions for the existence of such sampled-data feedback laws and give formulae and algorithms for their computation.

## Further data

Item Type: | Article in a book |
---|---|

Refereed: | Yes |

Keywords: | Sampled-datas system; Controller design; Lie brackets; Fliess expansion; Taylor expansion; Nonlinear control affine system; Convergence rate |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 04 Mar 2021 14:00 |

Last Modified: | 23 Mar 2021 09:12 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63694 |