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Stabilization with discounted optimal control : the discrete time case

URN to cite this document: urn:nbn:de:bvb:703-epub-2805-2

Title data

Gaitsgory, Vladimir ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
Stabilization with discounted optimal control : the discrete time case.
Bayreuth , 2016 . - 11 S.

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Project information

Project title:
Project's official title
Project's id
DFG-Projekt "Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung"
GR 1569/13-1
ARC Discovery Projects
DP130104432 and DP120100532
Project financing: Deutsche Forschungsgemeinschaft
ARC

Abstract

We present sufficient conditions for the asymptotic stabilization of an equilibrium point for nonlinear discrete time systems when using optimal controls derived from an infinite horizon optimal control problem using a discounted stage cost. An illustrative example is provided to highlight possible conservativeness in these conditions.

Further data

Item Type: Preprint, postprint
Keywords: stabilization; discounted optimal control; Lyapunov functions
DDC Subjects: 500 Science > 510 Mathematics
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) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
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-2805-2
Date Deposited: 03 May 2016 09:42
Last Modified: 28 Mar 2019 10:24
URI: https://epub.uni-bayreuth.de/id/eprint/2805

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