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 |  |
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 |
doi | https://doi.org/10.1007/978-1-4612-6380-7 |
isbn_softcover | 978-1-4612-6382-1 |
isbn_ebook | 978-1-4612-6380-7Series ISSN 0172-4568 Series E-ISSN 2197-439X |
issn_series | 0172-4568 |
copyright | Springer-Verlag New York Inc. 1975 |