Holdings: Stability of the Turnpike phenomenon in discrete-time optimal control problems

Stability of the Turnpike phenomenon in discrete-time optimal control problems:

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Bibliographic Details
Main Author:	Zaslavskij, Aleksandr J. 1957- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2014
Series:	SpringerBriefs in optimization
Online Access:	DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9783319080338 9783319080345
DOI:	10.1007/978-3-319-08034-5

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MARC


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adam_text	STABILITY OF THE TURNPIKE PHENOMENON IN DISCRETE-TIME OPTIMAL CONTROL PROBLEMS / ZASLAVSKI, ALEXANDER J. : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1.INTRODUCTION 2. OPTIMAL CONTROL PROBLEMS WITH SINGLETON-TURNPIKES 3. OPTIMAL CONTROL PROBLEMS WITH DISCOUNTING 4. OPTIMAL CONTROL PROBLEMS WITH NONSINGLETON-TURNPIKES REFERENCES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. STABILITY OF THE TURNPIKE PHENOMENON IN DISCRETE-TIME OPTIMAL CONTROL PROBLEMS / ZASLAVSKI, ALEXANDER J. : 2014 ABSTRACT / INHALTSTEXT THE STRUCTURE OF APPROXIMATE SOLUTIONS OF AUTONOMOUS DISCRETE-TIME OPTIMAL CONTROL PROBLEMS AND INDIVIDUAL TURNPIKE RESULTS FOR OPTIMAL CONTROL PROBLEMS WITHOUT CONVEXITY (CONCAVITY) ASSUMPTIONS ARE EXAMINED IN THIS BOOK. IN PARTICULAR, THE BOOK FOCUSES ON THE PROPERTIES OF APPROXIMATE SOLUTIONS WHICH ARE INDEPENDENT OF THE LENGTH OF THE INTERVAL, FOR ALL SUFFICIENTLY LARGE INTERVALS; THESE RESULTS APPLY TO THE SO-CALLED TURNPIKE PROPERTY OF THE OPTIMAL CONTROL PROBLEMS. BY ENCOMPASSING THE SO-CALLED TURNPIKE PROPERTY THE APPROXIMATE SOLUTIONS OF THE PROBLEMSARE DETERMINED PRIMARILY BY THE OBJECTIVE FUNCTION AND ARE FUNDAMENTALLY INDEPENDENT OF THE CHOICE OF INTERVAL AND ENDPOINT CONDITIONS, EXCEPT IN REGIONS CLOSE TO THE ENDPOINTS. THIS BOOKALSO EXPLORES THE TURNPIKE PHENOMENON FOR TWO LARGE CLASSES OF AUTONOMOUS OPTIMAL CONTROL PROBLEMS. IT IS ILLUSTRATED THAT THE TURNPIKE PHENOMENON IS STABLE FOR AN OPTIMAL CONTROL PROBLEM IF THE CORRESPONDING INFINITE HORIZON OPTIMAL CONTROL PROBLEM POSSESSES AN ASYMPTOTIC TURNPIKE PROPERTY. IF AN OPTIMAL CONTROL PROBLEM BELONGING TO THE FIRST CLASS POSSESSES THE TURNPIKE PROPERTY, THEN THE TURNPIKE IS A SINGLETON (UNIT SET). THE STABILITY OF THE TURNPIKE PROPERTY UNDER SMALL PERTURBATIONS OF AN OBJECTIVE FUNCTION AND OF A CONSTRAINT MAP IS ESTABLISHED. FOR THE SECOND CLASS OF PROBLEMS WHERE THE TURNPIKE PHENOMENON IS NOT NECESSARILY A SINGLETON THE STABILITY OF THE TURNPIKE PROPERTY UNDER SMALL PERTURBATIONS OF AN OBJECTIVE FUNCTION IS ESTABLISHED. CONTAINING SOLUTIONS OF DIFFICULT PROBLEMS IN OPTIMAL CONTROLAND PRESENTING NEW APPROACHES, TECHNIQUES AND METHODS THIS BOOK IS OF INTEREST FORMATHEMATICIANSWORKING IN OPTIMAL CONTROL AND THE CALCULUS OF VARIATIONS.IT ALSO CAN BE USEFUL IN PREPARATION COURSES FOR GRADUATE STUDENTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Zaslavskij, Aleksandr J. 1957-
author_GND	(DE-588)171024672
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dewey-tens	510 - Mathematics
discipline	Mathematik
doi_str_mv	10.1007/978-3-319-08034-5
format	Electronic eBook
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spelling	Zaslavskij, Aleksandr J. 1957- Verfasser (DE-588)171024672 aut Stability of the Turnpike phenomenon in discrete-time optimal control problems Alexander J. Zaslavski Cham [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in optimization https://doi.org/10.1007/978-3-319-08034-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027520741&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027520741&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Zaslavskij, Aleksandr J. 1957- Stability of the Turnpike phenomenon in discrete-time optimal control problems
title	Stability of the Turnpike phenomenon in discrete-time optimal control problems
title_auth	Stability of the Turnpike phenomenon in discrete-time optimal control problems
title_exact_search	Stability of the Turnpike phenomenon in discrete-time optimal control problems
title_full	Stability of the Turnpike phenomenon in discrete-time optimal control problems Alexander J. Zaslavski
title_fullStr	Stability of the Turnpike phenomenon in discrete-time optimal control problems Alexander J. Zaslavski
title_full_unstemmed	Stability of the Turnpike phenomenon in discrete-time optimal control problems Alexander J. Zaslavski
title_short	Stability of the Turnpike phenomenon in discrete-time optimal control problems
title_sort	stability of the turnpike phenomenon in discrete time optimal control problems
url	https://doi.org/10.1007/978-3-319-08034-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027520741&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027520741&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT zaslavskijaleksandrj stabilityoftheturnpikephenomenonindiscretetimeoptimalcontrolproblems

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