Functional analysis and time optimal control, Volume 56 (Mathematics in Science and Engineering)

✍ Scribed by Hermes (editor)

• Publisher: Academic Press
• Year: 1969
• Tongue: English
• Leaves: 149
• Category: Library

✦ Synopsis

Functional analysis and time optimal control

✦ Table of Contents

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