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On the relation between strict dissipativity and the turnpike property

URN to cite this document: urn:nbn:de:bvb:703-epub-2768-5

Title data

Grüne, Lars ; Müller, Matthias A.:
On the relation between strict dissipativity and the turnpike property.
Department of Mathematics, University of Bayreuth, Institute for Systems Theory and Automatic Control, University of Stuttgart
Bayreuth , 2015 . - 19 S.

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Project information

Project title:
Project's official title
Project's id
DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control"
GR1569/13-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract

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

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen in:
Systems & Control Letters. Bd. 90 (Februar 2016) . - S. 45-53.
DOI: https://doi.org/10.1016/j.sysconle.2016.01.003
Keywords: strict dissipativity; turnpike property; discrete time 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)
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
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-2768-5
Date Deposited: 03 Mar 2016 07:12
Last Modified: 28 May 2021 08:17
URI: https://epub.uni-bayreuth.de/id/eprint/2768

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