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A set valued characterization of ISDS Lyapunov functions

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005524
URN to cite this document: urn:nbn:de:bvb:703-epub-5524-7

Title data

Grüne, Lars ; Saint-Pierre, Patrick:
A set valued characterization of ISDS Lyapunov functions.
Bayreuth , 2005

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Abstract

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: Preprint, postprint
Additional notes (visible to public): erschienen In:
Proceedings of the 44th IEEE Conference on Decision and Control. - Piscatawny, NJ, USA : Institute of Electrical and Electronics Engineers , 2005 . - S. 4718-4723
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: 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
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)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5524-7
Date Deposited: 17 May 2021 12:00
Last Modified: 17 May 2021 12:00
URI: https://epub.uni-bayreuth.de/id/eprint/5524
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