Title data
Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On a discounted notion of strict dissipativity.
Bayreuth
,
2016
. - 6 S.
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 Project DP160102138 |
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Project financing: |
Deutsche Forschungsgemeinschaft ARC |
Abstract
Recent results in the literature have provided connections between the so-called turnpike property, near optimality of closed-loop solutions using model predictive control schemes, and strict dissipativity. An important feature of these results is that strict dissipativity provides a checkable condition for the other two properties. These results relate to optimal control problems with undiscounted stage cost. Motivated by applications in economics, we consider optimal control problems with discounted stage cost and define a notion of discounted strict dissipativity. As in the undiscounted case, we show that discounted strict dissipativity provides a checkable condition for various properties of the solutions of the optimal control problem associated with the appropriately defined discounted available storage function.
Further data
Item Type: | Preprint, postprint |
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Additional notes (visible to public): | erschienen in:
IFAC-PapersOnLine. Bd. 49 (August 2016) Heft 18 . - S. 247-252. DOI: https://doi.org/10.1016/j.ifacol.2016.10.171 |
Keywords: | nonlinear Systems; dissipativity; optimal control |
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-2736-9 |
Date Deposited: | 04 Feb 2016 11:58 |
Last Modified: | 28 May 2021 06:57 |
URI: | https://epub.uni-bayreuth.de/id/eprint/2736 |