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Author Grigorenko, Ilya.
Title Optimal control and forecasting of complex dynamical systems / Ilya Grigorenko.
Imprint Singapore ; Hackensack, N.J. : World Scientific, ©2006.

Author Grigorenko, Ilya.
Subject Control theory.
Mathematical optimization.
Chaotic behavior in systems.
Differentiable dynamical systems.
Alt Name World Scientific (Firm)
Description 1 online resource (xiii, 198 pages) : illustrations
Bibliography Note Includes bibliographical references (pages 183-196) and index.
Note Print version record.
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 &
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 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.
ISBN 9812774246 (electronic bk.)
9789812774248 (electronic bk.)
OCLC # 275174223
Additional Format Print version: Grigorenko, Ilya. Optimal Control and Forecasting of Complex Dynamical Systems. Singapore : World Scientific Publishing Company, ©2006 9789812566607

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