Title data
Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On a discounted notion of strict dissipativity.
In: IFACPapersOnLine.
Vol. 49
(2016)
Issue 18
.
 pp. 247252.
ISSN 24058963
DOI: https://doi.org/10.1016/j.ifacol.2016.10.171
This is the latest version of this item.
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Project information
Project title: 
Project's official title Project's id DFGProjekt "Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung" GR 1569/131 ARC Discovery Project DP160102138 

Project financing: 
Deutsche Forschungsgemeinschaft ARC 
Abstract in another language
Recent results in the literature have provided connections between the socalled turnpike property, near optimality of closedloop 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.
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On a discounted notion of strict dissipativity. (deposited 06 Feb 2016 22:00)
 On a discounted notion of strict dissipativity. (deposited 09 Jan 2017 12:56) [Currently Displayed]