Introductory optimization dynamics [electronic resource] : optimal control with economics and management science applications / Pierre N.V. Tu.
Optimal Control theory has been increasingly used in Economi- and Management Science in the last fifteen years or so. It is now commonplace, even at textbook level. It has been applied to a great many areas of Economics and Management Science, such as Optimal Growth, Optimal Population, Pollution co...
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Format: | Electronic eBook |
Language: | English |
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Berlin ; New York :
Springer-Verlag,
1984.
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Table of Contents:
- 1 Introduction
- 2 The Calculus of Variations
- 3 Boundary Conditions in Variational Problems
- 4 Second Variations and Sufficiency Conditions
- 5 Optimal Control: The Variational Approach
- 6 Constrained Optimai Control Problems
- 7 Linear Optimal Control
- 8 Stabilization Control Models
- 9 Discrete Control Systems
- 10 Sensitivity Analysis
- 11 Some Economic and Management Applications
- Mathematical Appendix: Review Of Differential And Difference Equations
- A.1 Introduction
- A.2 Differential Equations
- A.2.1 First Order Linear Differential Equation Systems
- A.2.2 Fundamental Matrix
- A.2.3 The nth Order Differential Equation
- A.2.4 Non-Homogeneous First Order Differential Equation Systems
- A.3 Difference Equations
- A.4 Stability of Differential and Difference Equations
- A.5 Phase Diagrams and Non-Linear Differential Equations
- A.6 Isoclines
- A.7 Non-Linear Differential Equations
- A.8 Phase Diagrams of Difference Equations
- A.9 Liapunov's Second (or Direct) Method
- References.