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Titlebook: Deterministic and Stochastic Optimal Control; Wendell Fleming,Raymond Rishel Book 1975 Springer-Verlag New York Inc. 1975 Brownian motion.

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书目名称Deterministic and Stochastic Optimal Control
编辑Wendell Fleming,Raymond Rishel
视频video
丛书名称Stochastic Modelling and Applied Probability
图书封面Titlebook: Deterministic and Stochastic Optimal Control;  Wendell Fleming,Raymond Rishel Book 1975 Springer-Verlag New York Inc. 1975 Brownian motion.
描述This book may be regarded as consisting of two parts. In Chapters I-IV we pre­ sent what we regard as essential topics in an introduction to deterministic optimal control theory. This material has been used by the authors for one semester graduate-level courses at Brown University and the University of Kentucky. The simplest problem in calculus of variations is taken as the point of departure, in Chapter I. Chapters II, III, and IV deal with necessary conditions for an opti­ mum, existence and regularity theorems for optimal controls, and the method of dynamic programming. The beginning reader may find it useful first to learn the main results, corollaries, and examples. These tend to be found in the earlier parts of each chapter. We have deliberately postponed some difficult technical proofs to later parts of these chapters. In the second part of the book we give an introduction to stochastic optimal control for Markov diffusion processes. Our treatment follows the dynamic pro­ gramming method, and depends on the intimate relationship between second­ order partial differential equations of parabolic type and stochastic differential equations. This relationship is reviewed in Chapt
出版日期Book 1975
关键词Brownian motion; Calculus of Variations; Diffusionsprozess (Statistik); Markov process; Optimal Control;
版次1
doihttps://doi.org/10.1007/978-1-4612-6380-7
isbn_softcover978-1-4612-6382-1
isbn_ebook978-1-4612-6380-7Series ISSN 0172-4568 Series E-ISSN 2197-439X
issn_series 0172-4568
copyrightSpringer-Verlag New York Inc. 1975
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0172-4568 elationship between second­ order partial differential equations of parabolic type and stochastic differential equations. This relationship is reviewed in Chapt978-1-4612-6382-1978-1-4612-6380-7Series ISSN 0172-4568 Series E-ISSN 2197-439X
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Dilemmata der genetischen Beratung,problems of interest the domain of the function to be miminized is not a portion of some finite-dimensional space .. Rather, the function is defined on some portion of an infinite-dimensional space if. We shall begin by outlining the elementary theory of minima of a function . on an abstract space . (§2).
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978-1-4612-6382-1Springer-Verlag New York Inc. 1975
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