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A set valued characterization of ISDS Lyapunov functions

Title data

Grüne, Lars ; Saint-Pierre, Patrick:
A set valued characterization of ISDS Lyapunov functions.
In: Proceedings of the 44th IEEE Conference on Decision and Control. - Piscatawny, NJ, USA : Institute of Electrical and Electronics Engineers , 2005 . - pp. 4718-4723
ISBN 0-7803-9567-0
DOI: https://doi.org/10.1109/CDC.2005.1582127

Abstract in another language

We use set valued analysis techniques in order to characterize Lyapunov functions for the input--to--state dynamical stability (ISDS) property, a quantitatively sharper but qualitatively equivalent variant of the well known input--to--state stability (ISS) property. We show that the epigraphs of minimal ISDS Lyapunov functions are invariance kernels of a suitable augmented differential inclusion. This identity provides theoretical insight into local ISDS properties and yields a basis for a numerical approximation of ISDS and ISS Lyapunov functions via set oriented numerical methods.

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: Yes
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Date Deposited: 02 Mar 2021 10:43
Last Modified: 23 Mar 2021 09:13
URI: https://eref.uni-bayreuth.de/id/eprint/63567