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: | Elektronisch E-Book |
| Sprache: | English |
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Singapore ; Hackensack, N.J. :
World Scientific,
©2006.
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| Zusammenfassung: | 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 |
| Beschreibung: | 1 online resource (xiii, 198 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 183-196) and index. |
| ISBN: | 9812774246 9789812774248 |
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| 505 | 0 | |a 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 & | |
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| 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 & |
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| indexdate | 2024-11-27T13:16:34Z |
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| spelling | Grigorenko, Ilya. Optimal control and forecasting of complex dynamical systems / Ilya Grigorenko. Singapore ; Hackensack, N.J. : World Scientific, ©2006. 1 online resource (xiii, 198 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 183-196) and index. Print version record. 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 & 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 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Théorie de la commande. Optimisation mathématique. Chaos. Dynamique différentiable. COMPUTERS Cybernetics. bisacsh Chaotic behavior in systems fast Control theory fast Differentiable dynamical systems fast Mathematical optimization fast World Scientific (Firm) http://id.loc.gov/authorities/names/no2001005546 Print version: Grigorenko, Ilya. Optimal Control and Forecasting of Complex Dynamical Systems. Singapore : World Scientific Publishing Company, ©2006 9789812566607 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=514817 Volltext |
| spellingShingle | Grigorenko, Ilya Optimal control and forecasting of complex dynamical systems / 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 & Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Théorie de la commande. Optimisation mathématique. Chaos. Dynamique différentiable. COMPUTERS Cybernetics. bisacsh Chaotic behavior in systems fast Control theory fast Differentiable dynamical systems fast Mathematical optimization fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85031658 http://id.loc.gov/authorities/subjects/sh85082127 http://id.loc.gov/authorities/subjects/sh85022562 http://id.loc.gov/authorities/subjects/sh85037882 |
| title | Optimal control and forecasting of complex dynamical systems / |
| title_auth | Optimal control and forecasting of complex dynamical systems / |
| title_exact_search | Optimal control and forecasting of complex dynamical systems / |
| title_full | Optimal control and forecasting of complex dynamical systems / Ilya Grigorenko. |
| title_fullStr | Optimal control and forecasting of complex dynamical systems / Ilya Grigorenko. |
| title_full_unstemmed | Optimal control and forecasting of complex dynamical systems / Ilya Grigorenko. |
| title_short | Optimal control and forecasting of complex dynamical systems / |
| title_sort | optimal control and forecasting of complex dynamical systems |
| topic | Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Théorie de la commande. Optimisation mathématique. Chaos. Dynamique différentiable. COMPUTERS Cybernetics. bisacsh Chaotic behavior in systems fast Control theory fast Differentiable dynamical systems fast Mathematical optimization fast |
| topic_facet | Control theory. Mathematical optimization. Chaotic behavior in systems. Differentiable dynamical systems. Théorie de la commande. Optimisation mathématique. Chaos. Dynamique différentiable. COMPUTERS Cybernetics. Chaotic behavior in systems Control theory Differentiable dynamical systems Mathematical optimization |
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