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Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property

Title data

Grüne, Lars ; Junge, Oliver:
Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property.
In: 46th IEEE Conference on Decision and Control. - Piscataway, NJ, USA : IEEE Service Center , 2007 . - pp. 702-707
ISBN 1-4244-1497-0
DOI: https://doi.org/10.1109/CDC.2007.4434428

Official URL: Volltext

Abstract in another language

We present an approximate optimization approach to the computation of stabilizing feedback laws using a partitioning of the state space and a corresponding approximation of the optimal value function of the problem. By including the discretization errors into the optimal control formulation we are able to compute approximate optimal value functions which preserve the Lyapunov function property and corresponding optimally stabilizing feedback laws which are constant on each partition element. The actual computation uses efficient graph theoretic algorithms.

Further data

Item Type: Article in a book
Refereed: Yes
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: 03 Mar 2021 12:41
Last Modified: 23 Mar 2021 09:12
URI: https://eref.uni-bayreuth.de/id/eprint/63632