Functional Analysis and Time Optimal Control
Erschienen am 14. Mai 2014
149 Seiten
978-0-08-095565-0 (ISBN)
Beschreibung
Functional Analysis and Time Optimal Control
Weitere Details
Weitere Ausgaben
Andere Ausgaben
H. Hermes | J.P. LaSalle
Functional Analysis and Time Optimal Control
Buch
01/1969
Academic Press
46,41 €
Artikel ist vergriffen; siehe andere Ausgabe
Inhalt
- 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
