## Title data

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian R.:

**On the equivalence between asymptotic and exponential stability, and between ISS and finite H-infinity gain.**

*In:*
Proceedings of the 38th IEEE Conference on Decision and Control. Volume 2. -
Piscataway, NJ
: IEEE Publ.
,
1999
. - pp. 1220-1225

ISBN 0-7803-5250-5

## Related URLs

## Abstract in another language

We show that uniformly global asymptotic stability and input-to-state stability for a family of ordinary differential equations are equivalent to uniformly global exponential stability and a nonlinear H-infinity estimate, respectively, under suitable nonlinear changes of variables.

## Further data

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

Refereed: | Yes |

Institutions of the University: | 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 Faculties |

Result of work at the UBT: | No |

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

Date Deposited: | 19 Feb 2021 07:56 |

Last Modified: | 06 May 2021 11:50 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63218 |