Optimal control and forecasting of complex dynamical systems:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
c2006
|
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (p. 183-196) and index Cover -- Preface -- TOC$Contents -- CH$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 -- CH$Chapter 2. Numerical optimization -- 2.1 The halting problem and No Free Lunch Theorem & The core of classical economic analysis represented by William Petty and Adam Smith concentrated on the field of development economics. This classical footing of the study of development is different from the neoclassical perspective in two important respects: it focuses on division of labor as the driving force of development, and it emphasizes the role of the market (the "invisible hand") in exploiting productivity gains that are derived from division of labor. However these aspects have received little attention in the body of literature that represents the modern field of development economics - which largely represents the neoclassical application of marginalism. A notable exception is research that utilizes inframarginal analysis of individuals' networking decisions in an attempt to formalize the classical mechanisms that drive division of labor. This book is a first attempt to collect relevant key contributions and is intended for active researchers in the field of development economics |
| Physical Description: | 1 Online-Ressource (xiii, 198 p.) |
| ISBN: | 1281919365 9781281919366 9789812774248 9812774246 |
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| 500 | |a Cover -- Preface -- TOC$Contents -- CH$Chapter 1. Analytical methods in control and optimization -- 1.1 Calculus of variations -- 1.1.1 The beginning: Fermat's variational principle -- 1.1.2 The "beautiful" Brachistochrone Problem -- 1.1.3 Euler-Lagrange equation -- 1.1.4 A word about distance between two functions -- 1.1.5 The Brachistochrone problem revisited -- 1.1.6 Generalizations of the Euler-Lagrange equation -- 1.1.7 Transversality conditions -- 1.1.8 Conditional extremum: Lagrange multipliers method -- 1.1.9 Mixed Optimal problem -- 1.1.10 Approximate methods of solution-Ritz's method -- 1.2 Optimal control theory -- 1.2.1 Sensitivity analysis -- 1.2.2 Null controllability -- 1.2.3 Problems with constrained control -- 1.3 Summary -- CH$Chapter 2. Numerical optimization -- 2.1 The halting problem and No Free Lunch Theorem & | ||
| 500 | |a 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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| isbn | 1281919365 9781281919366 9789812774248 9812774246 |
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| spelling | Grigorenko, Ilya Verfasser aut Optimal control and forecasting of complex dynamical systems Ilya Grigorenko Singapore World Scientific c2006 1 Online-Ressource (xiii, 198 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 183-196) and index Cover -- Preface -- TOC$Contents -- CH$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 -- CH$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 COMPUTERS / Cybernetics bisacsh Chaotic behavior in systems fast Control theory fast Differentiable dynamical systems fast Mathematical optimization fast Control theory Mathematical optimization Chaotic behavior in systems Differentiable dynamical systems World Scientific (Firm) Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514817 Aggregator Volltext |
| spellingShingle | Grigorenko, Ilya Optimal control and forecasting of complex dynamical systems COMPUTERS / Cybernetics bisacsh Chaotic behavior in systems fast Control theory fast Differentiable dynamical systems fast Mathematical optimization fast Control theory Mathematical optimization Chaotic behavior in systems Differentiable dynamical systems |
| 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 | COMPUTERS / Cybernetics bisacsh Chaotic behavior in systems fast Control theory fast Differentiable dynamical systems fast Mathematical optimization fast Control theory Mathematical optimization Chaotic behavior in systems Differentiable dynamical systems |
| topic_facet | COMPUTERS / Cybernetics Chaotic behavior in systems Control theory Differentiable dynamical systems Mathematical optimization |
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