at Google ScholarTitle data
Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian:
Asymptotic stability equals exponential stability, and ISS equals finite energy gain - if you twist your eyes.
In: Systems & Control Letters.
Vol. 38
(1999)
Issue 2
.
- pp. 127-134.
ISSN 1872-7956
DOI: https://doi.org/10.1016/S0167-6911(99)00053-5
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Abstract in another language
In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables. The same is shown for input-to-state stability and input-to-state exponential stability, and for input-to-state exponential stability and a nonlinear H∞ estimate.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Asymptotic stability; Exponential stability; Input-to-state stability; Nonlinear H∞ |
| 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 > 510 Mathematics |
| Date Deposited: | 19 Feb 2021 07:30 |
| Last Modified: | 09 Jan 2024 12:43 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/63216 |