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Stabilization with discounted optimal control : the discrete time case

Title data

Gaitsgory, Vladimir ; Grüne, Lars ; Höger, Matthias ; Kellett, Christopher M. ; Weller, Steven R.:
Stabilization with discounted optimal control : the discrete time case.
Bayreuth , 2017 . - 18 p.

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Official URL: Volltext

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Project information

Project title:
Project's official titleProject's id
DFG-Projekt "Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung"GR 1569/13-1
ARC Discovery ProjectsDP130104432 and DP120100532

Project financing: Deutsche Forschungsgemeinschaft
ARC

Abstract in another language

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, working paper, discussion paper
Keywords: stabilization; discounted optimal control; strict dissipativity; Lyapunov functions
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 > Professorship Applied Mathematics (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)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 29 Aug 2017 09:39
Last Modified: 30 Aug 2017 05:22
URI: https://eref.uni-bayreuth.de/id/eprint/39205

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