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Functional analysis and time optimal control /
Functional analysis and time optimal control.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1969.
|
| Colección: | Mathematics in science and engineering ;
v. 56. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- 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 Principle13. 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 Linearly22. Two-Dimensional, Autonomous, Nonlinear Systems with Control Appearing Linearly; 23. A Further Look at the Maximum Principle and Singular Arcs; References; Subject Index