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＜電子ブック＞
Structure of Approximate Solutions of Optimal Control Problems / by Alexander J. Zaslavski
(SpringerBriefs in Optimization. ISSN:2191575X)

版	1st ed. 2013.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2013
本文言語	英語
大きさ	VII, 135 p : online resource
著者標目	*Zaslavski, Alexander J author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:System theory LCSH:Control theory LCSH:Game theory FREE:Calculus of Variations and Optimization FREE:Systems Theory, Control FREE:Game Theory FREE:Continuous Optimization
一般注記	Preface -- 1.Introduction -- 2.Turnpike Properties of Optimal Control Problems -- 3.Infinite Horizon Problems -- 4.Linear Control Systems -- References.   This title examines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of the interval. The results illustrated in this book look into the so-called turnpike property of optimal control problems.  The author generalizes the results of the turnpike property by considering  a class of optimal control problems which is identified with the corresponding complete metric space of objective functions. This establishes the turnpike property for any element in a set that is in a countable intersection which is open everywhere dense sets in the space of integrands; meaning that the turnpike property holds for most optimal control problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this book  useful and valuable due to its  presentation of solutions to a number of difficult problems in optimal control  and presentation of new approaches, techniques and methods HTTP:URL=https://doi.org/10.1007/978-3-319-01240-7

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