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On the relation between dissipativity and discounted dissipativity

Title data

Müller, Matthias A. ; Grüne, Lars:
On the relation between dissipativity and discounted dissipativity.
In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne , 2017 . - pp. 5570-5575
ISBN 978-1-5090-2873-3
DOI: https://doi.org/10.1109/CDC.2017.8264486

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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 another language

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: Article in a book
Refereed: Yes
Keywords: strict dissipativity; discrete time optimal control; discounted time optimal control
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 26 Jan 2018 08:19
Last Modified: 26 Jan 2018 11:36
URI: https://eref.uni-bayreuth.de/id/eprint/42137

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