Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

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

[img]
Format: PDF
Name: gruene_et_al_an_invar_kernel_scl_2006.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (321kB)

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

Downloads

Downloads per month over past year