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Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems

URN to cite this document: urn:nbn:de:bvb:703-epub-3275-3

Title data

Grüne, Lars ; Pirkelmann, Simon ; Stieler, Marleen:
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems.
Bayreuth , 2017 . - 22 S.

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Available under License	German copyright law. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung — Die Rolle von Paretofronten, multikriterieller Dissipativität und mehrfachen Gleichgewichten

244602989

Modellprädiktive Regelung partieller Differentialgleichungen für den energieeffizienten Betrieb von Gebäuden: Ökonomische Modellprädiktive Regelung und zeitvariante Systeme

274853298

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Deutsche Forschungsgemeinschaft

Abstract

We consider the turnpike property for infinite horizon undiscounted optimal control problems in discrete time and with time-varying data. We show that, under suitable conditions, a time varying strict dissipativity notion implies the turnpike property and a continuity property of the optimal value function. We also discuss the relation of strict dissipativity to necessary optimality conditions and illustrate our results by an example.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: Feichtinger, Gustav ; Kovacevic, Raimund M. ; Tragler, Gernot (Hrsg.): Control Systems and Mathematical Methods in Economics: Essays in Honor of Vladimir M. Veliov. - Cham : Springer , 2018 . - S. 195-218 . - (Lecture Notes in Economics and Mathematical Systems ; 687 ) ISBN 978-3-319-75169-6 DOI: https://doi.org/10.1007/978-3-319-75169-6_10
Keywords:	turnpike property; time-varying system; overtaking optimality; strict dissipativity; necessary optimality conditions
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 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 > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS Research Institutions Research Institutions > Central research institutes
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3275-3
Date Deposited:	20 Apr 2017 06:34
Last Modified:	11 Dec 2025 12:09
URI:	https://epub.uni-bayreuth.de/id/eprint/3275

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