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Input-to-state stability, numerical dynamics and sampled-data control

Title data

Grüne, Lars:
Input-to-state stability, numerical dynamics and sampled-data control.
In: GAMM-Mitteilungen. Vol. 31 (March 2008) Issue 1 . - pp. 94-114.
ISSN 1522-2608
DOI: https://doi.org/10.1002/gamm.200890005

Abstract in another language

We investigate the relation between asymptotic stability for dynamical systems and families of approximations. Using suitably perturbed systems and the input-to-state stability property we develop a framework which yields necessary and sufficient conditions on the stability of the approximations ensuring stability of the approximated system. The results are formulated for numerical one step schemes for ordinary differential equations and for sampled-data systems.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: Special Issue on Dynamics and Control
Keywords: Input-to-state stability; Asymptotically stable set; Numerical approximation; Consistency; Sampled-data control
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: 04 Mar 2021 10:11
Last Modified: 23 Mar 2021 09:12
URI: https://eref.uni-bayreuth.de/id/eprint/63670