| Description |
1 online resource (x, 242 pages) : illustrations |
| Series |
Mathematics in science and engineering ; v. 65 |
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Mathematics in science and engineering ; v. 65.
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| Contents |
Front Cover; The Computation and Theory of Optimal Control; Copyright Page; Contents; Preface; Chapter 1. Introduction; 1.1 Notation; Chapter 2. Parameter Optimization; 2.1 Some Notation and Definitions; 2.2 Necessary and Sufficient Conditions for a Local Optimum; 2.3 Numerical Methods; Bibliography and Comments; Chapter 3. Optimal Control of Discrete Systems; 3.1 Notation; 3.2 The Problem; 3.3 Dynamic Programming Solution; 3.4 Linear Quadratic Problems; 3.5 Numerical Methods; 3.6 The Gradient Method; 3.7 The Newton-Raphson Method; 3.8 Neighboring Extremal Methods; Bibliography and Comments |
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Chapter 4. Optimization of Continuous Systems4.1 Notation; 4.2 The Problem; 4.3 Dynamic Programming Solution; 4.4 The Linear Quadratic Problem; 4.5 Linear Quadratic Problem with Constraints; 4.6 Stability; Bibliography and Comments; Chapter 5. The Gradient Method and the First Variation; 5.1 The Gradient Algorithm; 5.2 The Gradient Algorithm: A Dynamic Programming Approach; 5.3 Examples; 5.4 The First Variation: A Stationarity Condition for a Local Optimum; Bibliography and Comments; Chapter 6. The Successive Sweep Method and the Second Variation; 6.1 Introduction |
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6.2 The Successive Sweep Method6.3 An Alternative Derivation: Control Parameters; 6.4 Examples; 6.5 Neighboring Optimal Control; 6.6 The Second Variation and the Convexity Condition; Bibliography and Comments; Chapter 7. Systems with Discontinuities; 7.1 Introduction; 7.2 Discontinuities: Continuous State Variables; 7.3 Application to Examples; 7.4 The First Variation: A Stationarity Condition; 7.5 The Second Variation: A Convexity Condition; 7.6 Discontinuities in the State Variables; 7.7 Tests for Optimality; 7.8 Example; Bibliography and Comments |
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Chapter 8. The Maximum Principle and the Solution of Two-Point Boundary Value Problems8.1 Introduction; 8.2 The Maximum Principle; 8.3 The Linear Quadratic Problem; 8.4 Techniques for Solving Linear Two-Point Boundary Value Problems; 8.5 Newton-Raphson Methods for Solving Nonlinear Two-Point Boundary Value Problems; 8.6 Invariant Imbedding; Bibliography and Comments; Appendix Conjugate Points; Index |
| Summary |
The computation and theory of optimal control |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL |
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Print version record |
| Subject |
Control theory.
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Mathematical optimization.
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TECHNOLOGY & ENGINEERING -- Automation.
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TECHNOLOGY & ENGINEERING -- Robotics.
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Control theory
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Mathematical optimization
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Einführung
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Kontrolltheorie
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Lehrbuch
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Numerisches Verfahren
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Optimierung
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Numerieke wiskunde.
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Optimaliseren.
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Commande, Théorie de la.
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Optimisation mathématique.
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Commande automatique -- Mathématiques.
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| Form |
Electronic book
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| Author |
McReynolds, Stephen R
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| ISBN |
9780080955742 |
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0080955746 |
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