On the relation between dissipativity and discounted dissipativity

Publikation: KonferenzbeitragPaperForschungPeer-Review

Autoren

Externe Organisationen

  • Universität Stuttgart
  • Universität Bayreuth
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten5570-5575
Seitenumfang6
PublikationsstatusVeröffentlicht - 18 Jan. 2018
Extern publiziertJa
Veranstaltung2017 IEEE 56th Annual Conference on Decision and Control (CDC) - Melbourne, Australia
Dauer: 12 Dez. 201715 Dez. 2017

Konferenz

Konferenz2017 IEEE 56th Annual Conference on Decision and Control (CDC)
Zeitraum12 Dez. 201715 Dez. 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 Sachgebiete

Zitieren

On the relation between dissipativity and discounted dissipativity. / Müller, Matthias A.; Grüne, Lars.
2018. 5570-5575 Beitrag in 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

Publikation: KonferenzbeitragPaperForschungPeer-Review

Müller, MA & Grüne, L 2018, 'On the relation between dissipativity and discounted dissipativity', Beitrag in 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 12 Dez. 2017 - 15 Dez. 2017 S. 5570-5575. https://doi.org/10.1109/CDC.2017.8264486
Müller, M. A., & Grüne, L. (2018). On the relation between dissipativity and discounted dissipativity. 5570-5575. Beitrag in 2017 IEEE 56th Annual Conference on Decision and Control (CDC). https://doi.org/10.1109/CDC.2017.8264486
Müller MA, Grüne L. On the relation between dissipativity and discounted dissipativity. 2018. Beitrag in 2017 IEEE 56th Annual Conference on Decision and Control (CDC). doi: 10.1109/CDC.2017.8264486
Müller, Matthias A. ; Grüne, Lars. / On the relation between dissipativity and discounted dissipativity. Beitrag in 2017 IEEE 56th Annual Conference on Decision and Control (CDC).6 S.
Download
@conference{6d8caa58672f478ba722bf072024af3b,
title = "On the relation between dissipativity and discounted dissipativity",
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.",
author = "M{\"u}ller, {Matthias A.} and Lars Gr{\"u}ne",
note = "Funding information: Matthias A. M{\"u}ller 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-W{\"u}rttemberg Foundation. matthias.mueller@ist.uni-stuttgart.de Lars Gr{\"u}ne 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; 2017 IEEE 56th Annual Conference on Decision and Control (CDC) ; Conference date: 12-12-2017 Through 15-12-2017",
year = "2018",
month = jan,
day = "18",
doi = "10.1109/CDC.2017.8264486",
language = "English",
pages = "5570--5575",

}

Download

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 -

Von denselben Autoren