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On the relation between dissipativity and discounted dissipativity

URN to cite this document: urn:nbn:de:bvb:703-epub-3238-8

Title data

Müller, Matthias A. ; Grüne, Lars:
On the relation between dissipativity and discounted dissipativity.
Institute for Systems Theory and Automatic Control, University of Stuttgart, Department of Mathematics, University of Bayreuth
Bayreuth , 2017 . - 6 S.

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Project information

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

Project financing: Deutsche Forschungsgemeinschaft

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 dissipa- tivity 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.

Further data

Item Type: Preprint, postprint
Keywords: strict dissipativity; discrete time optimal control; discounted 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
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Research Institutions
Research Institutions > Research Centres
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3238-8
Date Deposited: 13 Mar 2017 09:28
Last Modified: 28 Mar 2019 10:42
URI: https://epub.uni-bayreuth.de/id/eprint/3238

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