The Computation and Theory of Optimal Control
Published on 14. May 2014
255 pages
978-0-08-095574-2 (ISBN)
Description
The Computation and Theory of Optimal Control
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095574-2 (9780080955742)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Peter Dyer | S.R. McReynolds
Computation and Theory of Optimal Control
Book
01/1970
Academic Press
€70.57
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Content
- Front Cover
- The Computation and Theory of Optimal Control
- Copyright Page
- Contents
- Preface
- Chapter 1. Introduction
- 1.1 Notation
- Chapter 2. Parameter Optimization
- 2.1 Some Notation and Definitions
- 2.2 Necessary and Sufficient Conditions for a Local Optimum
- 2.3 Numerical Methods
- Bibliography and Comments
- Chapter 3. Optimal Control of Discrete Systems
- 3.1 Notation
- 3.2 The Problem
- 3.3 Dynamic Programming Solution
- 3.4 Linear Quadratic Problems
- 3.5 Numerical Methods
- 3.6 The Gradient Method
- 3.7 The Newton-Raphson Method
- 3.8 Neighboring Extremal Methods
- Bibliography and Comments
- Chapter 4. Optimization of Continuous Systems
- 4.1 Notation
- 4.2 The Problem
- 4.3 Dynamic Programming Solution
- 4.4 The Linear Quadratic Problem
- 4.5 Linear Quadratic Problem with Constraints
- 4.6 Stability
- Bibliography and Comments
- Chapter 5. The Gradient Method and the First Variation
- 5.1 The Gradient Algorithm
- 5.2 The Gradient Algorithm: A Dynamic Programming Approach
- 5.3 Examples
- 5.4 The First Variation: A Stationarity Condition for a Local Optimum
- Bibliography and Comments
- Chapter 6. The Successive Sweep Method and the Second Variation
- 6.1 Introduction
- 6.2 The Successive Sweep Method
- 6.3 An Alternative Derivation: Control Parameters
- 6.4 Examples
- 6.5 Neighboring Optimal Control
- 6.6 The Second Variation and the Convexity Condition
- Bibliography and Comments
- Chapter 7. Systems with Discontinuities
- 7.1 Introduction
- 7.2 Discontinuities: Continuous State Variables
- 7.3 Application to Examples
- 7.4 The First Variation: A Stationarity Condition
- 7.5 The Second Variation: A Convexity Condition
- 7.6 Discontinuities in the State Variables
- 7.7 Tests for Optimality
- 7.8 Example
- Bibliography and Comments
- Chapter 8. The Maximum Principle and the Solution of Two-Point Boundary Value Problems
- 8.1 Introduction
- 8.2 The Maximum Principle
- 8.3 The Linear Quadratic Problem
- 8.4 Techniques for Solving Linear Two-Point Boundary Value Problems
- 8.5 Newton-Raphson Methods for Solving Nonlinear Two-Point Boundary Value Problems
- 8.6 Invariant Imbedding
- Bibliography and Comments
- Appendix Conjugate Points
- Index
