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Computational Methods for Optimizing Distributed Systems

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Author(s): K.L. Teo and Z.S. Wu (Eds.)
Series: Mathematics in Science and Engineering 173
Publisher: Academic Press
Year: 1984

Language: English
Pages: iii-xiii, 1-317

Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Pages xi-xiii
K.L. Teo, Z.S. Wu

Chapter I Mathematical Background
Pages 1-31

Chapter II Boundary Value Problem of Parabolic Type
Pages 32-83

Chapter III Optimal Control of First Boundary Problems: Strong Variation Techniques
Pages 84-132

Chapter IV Optimal Control of First Boundary Problems: Gradient Techniques
Pages 133-190

Chapter V Relaxed Controls and the Convergence of Optimal Control Algorithms
Pages 191-234

Chapter VI Optimal Control Problems Involving Second Boundary-Value Problems
Pages 235-274

Appendix I Stochastic Optimal Control Problems
Pages 275-279

Appendix II Certain Results on Partial Differential Equations Needed in Chapters III, IV, and V
Pages 280-282

Appendix III An Algorithm of Quadratic Programming
Pages 283-285

Appendix IV A Quasi-Newton Method for Nonlinear Function Minimization with Linear Constraints
Pages 286-288

Appendix V An Algorithm for Optimal Control Problems of Linear Lumped Parameter Systems
Pages 289-297

Appendix VI Meyer-Polak Proximity Algorithm
Pages 298-299

References Review Article
Pages 301-312

List of Notation
Page 313

Index
Pages 315-317