Functional Analysis and Time Optimal Control
Published on 14. May 2014
149 pages
978-0-08-095565-0 (ISBN)
Description
Functional Analysis and Time Optimal Control
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095565-0 (9780080955650)
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
H. Hermes | J.P. LaSalle
Functional Analysis and Time Optimal Control
Book
01/1969
Academic Press
€46.43
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Content
- Front Cover
- Functional Analysis and Time Optimal Control
- Copyright Page
- CONTENTS
- Preface
- PART I: FUNCTIONAL ANALYSIS
- 1. Logical Foundations
- 2. Topological Considerations
- 3. Ways of Generating a Topology
- 4. Linear Topological Spaces
- 5. Convex Sets and the Hahn-Banach Theorem
- 6. Dual Variational Problems and the Foundations of Moment Problems
- 7. Weak and Weak * Topologies
- 8. Extreme Points, Exposed Points, and the Liapunov Theorem
- 9. Finite-Dimensional Vector Space
- 10. Linear Differential Equations
- PART II: LINEAR TIME OPTIMAL CONTROL
- 11. The General Linear Time Optimal Problem
- 12. General Properties of the Reachable Set and the Bang-Bang Principle
- 13. General Theorems on Optimal Control
- 14. Questions of Uniqueness and Properties of the Boundary of the Reachable Set
- 15. Unique Determination of the Control by the Necessary Condition. Normal Systems
- 16. Normality of Systems with Constant Coefficients
- 17. Sufficient Conditions for Optimal Control for a Special Problem. Proper Systems
- 18. Transversatility and a Sufficient Condition for the General Problem
- 19. Controllability with Unlimited Control
- PART III: NONLINEAR TIME OPTIMAL CONTROL
- 20. General Theory
- 21. Nonlinear Problems with Control Appearing Linearly
- 22. Two-Dimensional, Autonomous, Nonlinear Systems with Control Appearing Linearly
- 23. A Further Look at the Maximum Principle and Singular Arcs
- References
- Subject Index
