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Dissipativity and optimal control : Examining the Turnpike Phenomenon

Title data

Grüne, Lars:
Dissipativity and optimal control : Examining the Turnpike Phenomenon.
In: IEEE Control Systems Magazine. Vol. 42 (2022) Issue 2 . - pp. 74-87.
ISSN 1066-033X
DOI: https://doi.org/10.1109/MCS.2021.3139724

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This article describes the manifold relationships dissipativity and optimal control, with a focus on recent developments. In the early days of dissipativity theory, the questions "how can optimal control be used to establish dissipativity?" and vice versa, "how can dissipativity can be used to establish (inverse) optimality?" were extensively investigated. Recently, the question "what does dissipativity tell us about the qualitative behavior of optimally controlled systems?" came into focus. This development was triggered by the observation that dissipativity is extremely useful for the understanding of (economic) model predictive control schemes, and opened a new view on the relationship between dissipativity and optimal control.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: dissipativity; optimal control; turnpike property; detectability
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
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
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: 29 Mar 2022 07:25
Last Modified: 29 Mar 2022 07:25
URI: https://eref.uni-bayreuth.de/id/eprint/69057

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