Loading [MathJax]/extensions/tex2jax.js

On the relation between strict dissipativity and turnpike properties

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

Externe Organisationen

  • Universität Bayreuth
  • Universität Stuttgart

Details

OriginalspracheEnglisch
Seiten (von - bis)45-53
Seitenumfang9
FachzeitschriftSystems and Control Letters
Jahrgang90
PublikationsstatusVeröffentlicht - 1 Apr. 2016
Extern publiziertJa

Abstract

For discrete time nonlinear systems we study the relation between strict dissipativity and so called turnpike-like behavior in optimal control. Under appropriate controllability assumptions we provide several equivalence statements involving these two properties. The relation of strict dissipativity to an exponential variant of the turnpike property is also studied.

ASJC Scopus Sachgebiete

Zitieren

On the relation between strict dissipativity and turnpike properties. / Grüne, Lars; Müller, Matthias A.
in: Systems and Control Letters, Jahrgang 90, 01.04.2016, S. 45-53.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Download
@article{53c4f7ee589449209c37b5f3c02a3d96,
title = "On the relation between strict dissipativity and turnpike properties",
abstract = "For discrete time nonlinear systems we study the relation between strict dissipativity and so called turnpike-like behavior in optimal control. Under appropriate controllability assumptions we provide several equivalence statements involving these two properties. The relation of strict dissipativity to an exponential variant of the turnpike property is also studied.",
keywords = "Discrete time optimal control, Strict dissipativity, Turnpike property",
author = "Lars Gr{\"u}ne and M{\"u}ller, {Matthias A.}",
note = "Funding information: The research was supported by DFG Grant GR1569/13-1.",
year = "2016",
month = apr,
day = "1",
doi = "10.1016/j.sysconle.2016.01.003",
language = "English",
volume = "90",
pages = "45--53",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",

}

Download

TY - JOUR

T1 - On the relation between strict dissipativity and turnpike properties

AU - Grüne, Lars

AU - Müller, Matthias A.

N1 - Funding information: The research was supported by DFG Grant GR1569/13-1.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - For discrete time nonlinear systems we study the relation between strict dissipativity and so called turnpike-like behavior in optimal control. Under appropriate controllability assumptions we provide several equivalence statements involving these two properties. The relation of strict dissipativity to an exponential variant of the turnpike property is also studied.

AB - For discrete time nonlinear systems we study the relation between strict dissipativity and so called turnpike-like behavior in optimal control. Under appropriate controllability assumptions we provide several equivalence statements involving these two properties. The relation of strict dissipativity to an exponential variant of the turnpike property is also studied.

KW - Discrete time optimal control

KW - Strict dissipativity

KW - Turnpike property

UR - http://www.scopus.com/inward/record.url?scp=84959311480&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2016.01.003

DO - 10.1016/j.sysconle.2016.01.003

M3 - Article

AN - SCOPUS:84959311480

VL - 90

SP - 45

EP - 53

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

ER -

Von denselben Autoren