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Optimal control and forecasting of complex dynamical systems

Author: Ilya Grigorenko; World Scientific (Firm)
Publisher: Singapore ; Hackensack, N.J. : World Scientific, ©2006.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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 driving force of development, and it emphasizes the role of the market (the "invisible hand") in exploiting  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Grigorenko, Ilya.
Optimal Control and Forecasting of Complex Dynamical Systems.
Singapore : World Scientific Publishing Company, ©2006
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ilya Grigorenko; World Scientific (Firm)
ISBN: 9812774246 9789812774248
OCLC Number: 275174223
Description: 1 online resource (xiii, 198 pages) : illustrations
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 &
Responsibility: Ilya Grigorenko.
More information:

Abstract:

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 driving force of development, and it emphasizes the role of the market (the "invisible hand") in exploiting productivity gains that are derived from division of labor. However these aspects have received little attention in the body of literature that represents the modern field of development economics - which largely represents the neoclassical application of marginalism. A notable exception is research that utilizes inframarginal analysis of individuals' networking decisions in an attempt to formalize the classical mechanisms that drive division of labor. This book is a first attempt to collect relevant key contributions and is intended for active researchers in the field of development economics.

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