DYNAMIC OPTIMIZATION

Le Monde En Tique

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Ouvrage 0-201-36187-6 : DYNAMIC OPTIMIZATION
Dynamic Optimization, by Arthur E. Bryson, takes an applied approach to its subject, offering many examples and solved problems that draw from aerospace, robotics, and mechanics. The abundance of thoroughly tested general algorithms and MATLAB codes provide the student with the practice necessary to master this inherently difficult subject, while the realistic engineering problems and examples keep the material interesting and relevant.
Table of Contents Chapter 1 - Static Optimization 1.1 Problems without Constraints 1.2 Problems with Equality Constraints 1.3 Numerical Solution with Gradient Methods 1.4 Sufficient Conditions for a Minimum 1.5 Numerical Solution with Newton-Raphson Methods
1.6 Chapter Summary Chapter 2 - Dynamic Optimization 2.1 Discrete Dynamic Systems 2.2 Numerical Solution with Gradient Methods 2.3 Continuous Dynamic Systems 2.4 Numerical Solution with Gradient Methods 2.5 Direct Solution Methods for Discrete Systems
2.6 Direct Solution Methods for Continuous Systems
2.7 Chapter Summary Chapter 3 - Dynamic Optimization with Terminal Constraints 3.1 Discrete Dynamic Systems 3.2 Numerical Solution with Gradient Methods 3.3 Continuous Dynamic Systems 3.4 Numerical Solution with Gradient Methods 3.5 Direct Solution Methods for Discrete Systems
3.6 Direct Solution Methods for Continuous Systems
3.7 Chapter Summary Chapter 4 - Dynamic Optimization with Open Final
4.1 Discrete Dynamic Systems 4.2 Numerical Solution with Gradient Methods 4.3 Continuous Dynamic Systems 4.4 Numerical Solution with Gradient Methods 4.5 Direct Solution Methods for Discrete Systems
4.6 Direct Solution Methods for Continuous Systems
4.7 Chapter Summary Chapter 5 - Linear-Quadratic Terminal Controllers
5.1 Introduction
5.2 Continuous Soft Terminal Controllers 5.3 Discrete Soft Terminal Controllers 5.4 Continuous Hard Terminal Controllers 5.5 Discrete Hard Terminal Controllers 5.6 Chapter Summary Chapter 6 - Linear-Quadratic Regulators 6.1 Introduction
6.2 Continuous Regulators 6.3 Discrete Regulators 6.4 Chapter Summary Chapter 7 - Dynamic Programming 7.1 Introduction
7.2 Extremal Fields 7.3 The Continuous Minimum Principle 7.4 The Combinatorial Minimum Principle 7.5 Chapter Summary Chapter 8 - Neighboring Optimum Feedback Control
8.1 Introduction
8.2 The Accessory Minimum Problem for Continuous Systems 8.3 The Accessory Minimum Problem for Discrete Systems
8.4 A Newton-Raphson Algorithm for Discrete Systems
8.5 Sufficient Conditions and Convexity 8.6 Nonconvex Terminal Manifolds - Focal Points
8.7 Nonconvex Space - Conjugate Points 8.8 Chapter Summary Chapter 9 - Inequality Constraints 9.1 Introduction
9.2 Static Optimization 9.3 Dynamic Optimization 9.4 Chapter Summary Chapter 10 - Singular Optimal Control Problems
10.1 Introduction 10.2 LQ Controllers for Nonminimum Phase Systems
10.3 Nonlinear Problems with Singular Arcs 10.4 Chapter Summary Appendix - History of Dynamic Optmization Roots in the Calculus of Variations Roots in Classical Control Roots in Linear and Nonlinear Programming Algorithms and the Digital Computer Dynamic Programming and the Maximum Principle
Calculating Nonlinear Optimal Trajectories Inequality Constraints Singular Problems Inverse Dynamic Optimization Riccati Equations Summary
References
Index END


Auteur : BRYSON
Editeur : ADDISON WESLEY
Nombre de pages : 550
Date de publication : 02 1999

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