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A maximum time approach to the computation of robust domains of attraction

URN to cite this document: urn:nbn:de:bvb:703-epub-5461-7

Title data

Falcone, Maurizio ; Grüne, Lars ; Wirth, Fabian:
A maximum time approach to the computation of robust domains of attraction.
Bayreuth , 2000

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Abstract

We present an optimal control based algorithm for the computation of robust domains of attraction for perturbed systems. We give a sufficient condition for the continuity of the optimal value function and a characterization by Hamilton-Jacobi equations. A numerical scheme is presented and illustrated by an example.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Fiedler, Bernold ; Gröger, Konrad ; Sprekels, Jürgen (Hrsg.): International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999. Volume 1. - Singapore : World Scientific , 2000 . - S. 844-849
Keywords: numerical example; dynamical systems; stability; optimal control; algorithm; domains of attraction; Hamilton-Jacobi equations
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-5461-7
Date Deposited: 07 May 2021 06:37
Last Modified: 07 May 2021 06:37
URI: https://epub.uni-bayreuth.de/id/eprint/5461

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