Stability of the turnpike phenomenon in discretetime optimal control problems
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The work Stability of the turnpike phenomenon in discretetime optimal control problems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Stability of the turnpike phenomenon in discretetime optimal control problems
Resource Information
The work Stability of the turnpike phenomenon in discretetime optimal control problems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Stability of the turnpike phenomenon in discretetime optimal control problems
 Statement of responsibility
 Alexander J. Zaslavski
 Language
 eng
 Summary
 The structure of approximate solutions of autonomous discretetime 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 socalled turnpike property of the optimal control problems. By encompassing the socalled 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
 Cataloging source
 GW5XE
 Dewey number
 519.5
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA276
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 SpringerBriefs in Optimization,
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