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Numerical stabilization at singular points

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005446
URN to cite this document: urn:nbn:de:bvb:703-epub-5446-4

Title data

Grüne, Lars:
Numerical stabilization at singular points.
Bayreuth , 1998

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Abstract

In this paper we apply recent results on the numerical stabilization of semilinear systems to the stabilization problem for nonlinear systems at singular points. Moreover, we give a new convergence proof for the resulting closed loop system to be exponentially stable based on a suitable Lyapunov function. This is derived from the numerical approximation of the value function of a discounted optimal control problem minimizing the Lyapunov exponents of the semilinear system.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Beghi, Alessandro (Hrsg.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo , 1998 . - S. 633-636
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-5446-4
Date Deposited: 06 May 2021 07:35
Last Modified: 06 May 2021 07:35
URI: https://epub.uni-bayreuth.de/id/eprint/5446
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