Optimal control and forecasting of complex dynamical systems /
The core of classical economic analysis represented by William Petty and Adam Smith concentrated on the field of development economics. This classical footing of the study of development is different from the neoclassical perspective in two important respects: it focuses on division of labor as the...
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| Format: | Licensed eBooks |
| Language: | English |
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Singapore ; Hackensack, N.J. :
World Scientific,
©2006.
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| Online Access: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=514817 |
Table of Contents:
- Cover
- Preface
- Contents
- Chapter 1. Analytical methods in control and optimization
- 1.1 Calculus of variations
- 1.1.1 The beginning: Fermat's variational principle
- 1.1.2 The "beautiful" Brachistochrone Problem
- 1.1.3 Euler-Lagrange equation
- 1.1.4 A word about distance between two functions
- 1.1.5 The Brachistochrone problem revisited
- 1.1.6 Generalizations of the Euler-Lagrange equation
- 1.1.7 Transversality conditions
- 1.1.8 Conditional extremum: Lagrange multipliers method
- 1.1.9 Mixed Optimal problem
- 1.1.10 Approximate methods of solution-Ritz's method
- 1.2 Optimal control theory
- 1.2.1 Sensitivity analysis
- 1.2.2 Null controllability
- 1.2.3 Problems with constrained control
- 1.3 Summary
- Chapter 2. Numerical optimization
- 2.1 The halting problem and No Free Lunch Theorem &