An Introduction to Applied Optimal Control
Published on 14. May 2014
191 pages
978-0-08-095665-7 (ISBN)
Description
An Introduction to Applied Optimal Control
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095665-7 (9780080956657)
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.
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Additional editions
Greg Knowles
Introduction to Applied Optimal Control
Book
11/1997
Academic Press
€61.90
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Content
- Front Page
- An Introduction to Applied Optimal Control
- Copyright Page
- Contents
- Preface
- Chapter I. Examples of Control Systems
- the Control Problem
- General Form of the Control Problem
- Chapter II. The General Linear Time Optimal Problem
- 1. Introduction
- 2. Applications of the Maximum Principle
- 3. Normal Systems-Uniqueness of the Optimal Control
- 4. Further Examples of Time Optimal Control
- 5. Numerical Computation of the Switching Times
- References
- Chapter III. The Pontryagin Maximum Principle
- 1. The Maximum Principle
- 2. Classical Calculus of Variations
- 3. More Examples of the Maximum Principle
- References
- Chapter IV. The General Maximum Principle
- Control Problems with Terminal Payoff
- 1. Introduction
- 2. Control Problems with Terminal Payoff
- 3. Existence of Optimal Controls
- References
- Chapter V. Numerical Solution of Two-Point Boundary-Value Problems
- 1. Linear Two-Point Boundary-Value Problems
- 2. Nonlinear Shooting Methods
- 3. Nonlinear Shooting Methods: Implicit Boundary Conditions
- 4. Quasi-Linearization
- 5. Finite-Difference Schemes and Multiple Shooting
- 6. Summary
- References
- Chapter VI. Dynamic Programming and Differential Games
- 1. Discrete Dynamic Pogramming
- 2. Continuous Dynamic Rogramming-Control Problems
- 3. Continuous Dynamic Programming-Differential Games
- References
- Chapter VII. Controllability and Observability
- 1. Controllable Linear Systems
- 2. Observability
- References
- Chapter VIII. State-Constrained Control Problems
- 1. The Restricted Mmimum Principle
- 2. Jump Conditions
- 3. The Continuous Wheat Trading Model without Shortselling
- 4. Some Models in Production and Inventory Control
- References
- Chapter IX. Optimal Control of Systems Governed by Partial Differential Equations
- 1. Some Examples of Elliptic Control Problems
- 2. Necessary and Sufficient Conditions for Optimality
- 3. Boundary Control and Approximate Controllability of Elliptic Systems
- 4. The Control of Systems Governed by Parabolic Equations
- 5. Time Optimal Control
- 6. Approximate Controllability for Parabolic Problems
- References
- Appendix I. Geometry of Rn
- Appendix II. Existence of Time Optimal Controls and the Bang-Bang Principle
- Appendix III. Stability
- Index
