Deterministic and Stochastic Optimal Control - Stochastic Modelling and Applied Probability - Wendell H. Fleming - Grāmatas - Springer-Verlag New York Inc. - 9781461263821 - 2012. gada 3. februāris
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Wendell H. Fleming
Deterministic and Stochastic Optimal Control - Stochastic Modelling and Applied Probability Softcover Reprint of the Original 1st Ed. 1975 edition

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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.

222 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2012. gada 3. februāris
ISBN13 9781461263821
Izdevēji Springer-Verlag New York Inc.
Lapas 222
Izmēri 155 × 235 × 13 mm   ·   335 g
Valoda Angļu  

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