## Title data

Grüne, Lars:

**Attractors under perturbation and discretization.**

*In:*
Proceedings of the 39th IEEE Conference on Decision and Control. Volume 3. -
Piscataway, NJ
: IEEE Publ.
,
2000
. - pp. 2118-2122

ISBN 0-7803-6638-7

DOI: https://doi.org/10.1109/CDC.2000.914107

## Related URLs

## Abstract in another language

Using control theoretic techniques we give a necessary and sufficient condition for the convergence of attractors in one step discretizations of ordinary differential equations and obtain estimates for the resulting discretization error. The necessary and sufficient condition is based on a robustness property for an associated perturbed system, which is closely related to but slightly weaker than the input-to-state stability property well known in control theory.

## Further data

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

Refereed: | Yes |

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: | No |

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

Date Deposited: | 22 Feb 2021 08:29 |

Last Modified: | 07 May 2021 06:48 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63259 |