Details
| Original language | English |
|---|---|
| Pages | 5570-5575 |
| Number of pages | 6 |
| Publication status | Published - 18 Jan 2018 |
| Externally published | Yes |
| Event | 2017 IEEE 56th Annual Conference on Decision and Control (CDC) - Melbourne, Australia Duration: 12 Dec 2017 → 15 Dec 2017 |
Conference
| Conference | 2017 IEEE 56th Annual Conference on Decision and Control (CDC) |
|---|---|
| Period | 12 Dec 2017 → 15 Dec 2017 |
Abstract
In this paper, we consider a recently introduced notion of discounted strict dissipativity which is of interest, e.g., in the context of discounted optimal control and economic model predictive control. We consider the question whether (standard) strict dissipativity implies discounted strict dissipativity for discounting factors close enough to one. While in general, this need not be the case, we show that it is indeed true under certain regularity conditions.
ASJC Scopus subject areas
- Decision Sciences(all)
- Decision Sciences (miscellaneous)
- Mathematics(all)
- Control and Optimization
- Engineering(all)
- Industrial and Manufacturing Engineering
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2018. 5570-5575 Paper presented at 2017 IEEE 56th Annual Conference on Decision and Control (CDC).
Research output: Contribution to conference › Paper › Research › peer review
}
TY - CONF
T1 - On the relation between dissipativity and discounted dissipativity
AU - Müller, Matthias A.
AU - Grüne, Lars
N1 - Funding information: Matthias A. Müller is with the Institute for Systems Theory and Automatic Control, University of Stuttgart, 70550 Stuttgart, Germany. His work was supported by DFG Grant MU3929/1-1 and by the Eliteprogramme for Postdocs of the Baden-Württemberg Foundation. matthias.mueller@ist.uni-stuttgart.de Lars Grüne is with the Mathematical Institute, University of Bayreuth, 95440 Bayreuth, Germany. His work was supported by DFG Grant GR1569/13-1 lars.gruene@uni-bayreuth.de
PY - 2018/1/18
Y1 - 2018/1/18
N2 - In this paper, we consider a recently introduced notion of discounted strict dissipativity which is of interest, e.g., in the context of discounted optimal control and economic model predictive control. We consider the question whether (standard) strict dissipativity implies discounted strict dissipativity for discounting factors close enough to one. While in general, this need not be the case, we show that it is indeed true under certain regularity conditions.
AB - In this paper, we consider a recently introduced notion of discounted strict dissipativity which is of interest, e.g., in the context of discounted optimal control and economic model predictive control. We consider the question whether (standard) strict dissipativity implies discounted strict dissipativity for discounting factors close enough to one. While in general, this need not be the case, we show that it is indeed true under certain regularity conditions.
UR - http://www.scopus.com/inward/record.url?scp=85046116955&partnerID=8YFLogxK
U2 - 10.1109/CDC.2017.8264486
DO - 10.1109/CDC.2017.8264486
M3 - Paper
SP - 5570
EP - 5575
T2 - 2017 IEEE 56th Annual Conference on Decision and Control (CDC)
Y2 - 12 December 2017 through 15 December 2017
ER -