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An invariance kernel representation of ISDS Lyapunov functions

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005534
URN to cite this document: urn:nbn:de:bvb:703-epub-5534-3

Title data

Grüne, Lars ; Saint-Pierre, Patrick:
An invariance kernel representation of ISDS Lyapunov functions.
Bayreuth , 2005

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Abstract

We apply set valued analysis techniques in order to characterize the input--to--state dynamical stability (ISDS) property, a variant of the well known input--to--state stability (ISS) property. Using a suitable augmented differential inclusion we are able to characterize the epigraphs of minimal ISDS Lyapunov functions as invariance kernels. This characterization gives new insight into local ISDS properties and provides 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): Erscheint in: Systems & Control Letters. Bd. 55 (September 2006) Heft 9 . - S. 736-745; https://doi.org/10.1016/j.sysconle.2006.02.003
Keywords: Input-to-state stability; Invariance kernel; Lyapunov functions; Set valued analysis; Set oriented numerics
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-5534-3
Date Deposited: 18 May 2021 07:37
Last Modified: 18 Jun 2021 08:13
URI: https://epub.uni-bayreuth.de/id/eprint/5534
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