Deterministic and Stochastic Optimal Control is popular PDF and ePub book, written by Wendell H. Fleming in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Deterministic and Stochastic Optimal Control can be Read Online from any device for your convenience.
Deterministic and Stochastic Optimal Control Book PDF Summary
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 Chapter V, which may be read inde pendently of Chapters I-IV. Chapter VI is based to a considerable extent on the authors' work in stochastic control since 1961. It also includes two other topics important for applications, namely, the solution to the stochastic linear regulator and the separation principle.
Detail Book of Deterministic and Stochastic Optimal Control PDF
- Author : Wendell H. Fleming
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461263807
- Genre : Mathematics
- Total Page : 231 pages
- Language : English
- PDF File Size : 15,8 Mb
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