A unified computational approach to optimal control problems
著者
書誌事項
A unified computational approach to optimal control problems
（Pitman monographs and surveys in pure and applied mathematics, 55）
Longman Scientific and Technical , Wiley, 1991
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注記
Bibliography: p. 313-326
Includes index
内容説明・目次
内容説明
Using the concept of control parametrization, the optimal control problem is reduced to a mathematical programming problem and hence is solvable by existing efficient optimization software packages. This book is a rigorous expostion of the concept of control parametrization as a basis of solving various optimal control problems. All the algorithms are presented in a unified manner easily understood by the reader. Exercises are included to enhance the reader's understanding of the underlying theory and a wide range of optimal control problems are collected in the Appendix. The text could be used as a textbook for a course at senior undergraduate or graduate level. It can also serve as a reference text for applied scientists, graduate students, engineers, and managers using control and optimization.
目次
- Mathematical background
- elements of constrained mathematical programming
- elements of optimal control theory
- optimal parameter selection problems
- optimal control problems in canonical form
- optimal control problems involving linear systems
- non-linear optimal control problems with functional inequality state constraints
- optimal control problems with almost smooth controls
- optimal control with a cost of changing control
- discrete time optimal control problems
- time-delayed optimal control problems.
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