Title data
Grüne, Lars ; Guglielmi, Roberto:
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems.
In: Mathematical Control and Related Fields.
Vol. 11
(March 2021)
Issue 1
.
 pp. 169188.
ISSN 21568472
DOI: https://doi.org/10.3934/mcrf.2020032
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Project financing: 
Deutsche Forschungsgemeinschaft 

Abstract in another language
The paper is devoted to analyze the connection between turnpike phenomena and strict dissipativity properties for continuoustime finite dimensional linear quadratic optimal control problems. We characterize strict dissipativity properties of the dynamics in terms of the system matrices related to the linear quadratic problem. These characterizations then lead to new necessary conditions for the turnpike properties under consideration, and thus eventually to necessary and sufficient conditions in terms of spectral criteria and matrix inequalities. One of the key novelty of these results is the possibility to encompass the presence of state and input constraints.
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On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. (deposited 16 Nov 2019 22:00)
 On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. (deposited 30 Jun 2020 07:39) [Currently Displayed]