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Robust asymptotic controllability under time-varying perturbations

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005507
URN to cite this document: urn:nbn:de:bvb:703-epub-5507-3

Title data

Grüne, Lars:
Robust asymptotic controllability under time-varying perturbations.
Bayreuth , 2004

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Abstract

We investigate the effect of time-varying perturbations on the dynamical behavior of nonlinear control systems. More specifically, we study the effect of such perturbations on the controlled equivalent of asymptotically stable sets, i.e., asymptotically controllable sets. In the first part of this paper we illustrate by a simple example how different types of perturbations affect this dynamical behavior and use concepts from dynamical game theory in order to identify classes of perturbations which allow to model the effects of numerical discretization errors both in time and space. In the second part we introduce appropriate robustness properties and prove that these are inherent properties for asymptotically controllable sets under these classes of perturbations.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: Stochastics and Dynamics. Bd. 4 (2004) Heft 3 . - S. 297-316
Keywords: Robust controllability; Time-varying perturbation; Discretization
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-5507-3
Date Deposited: 12 May 2021 13:41
Last Modified: 21 Jun 2021 04:47
URI: https://epub.uni-bayreuth.de/id/eprint/5507

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