Optimization techniques : with applications to aerospace systems / ed. by George Leitmann.

Format:

Book

Contributor:

Leitmann, George.

Series:

Mathematics in science and engineering ; v. 5.

Mathematics in science and engineering ; 5

Language:

English

Subjects (All):

Mathematical optimization.

System analysis.

Physical Description:

1 online resource (453 pages) : illustrations

Edition:

3. printing.

Place of Publication:

New York : Academic Press, c1965.

Language Note:

English

Summary:

Optimization techniques, with applications to aerospace systems

Contents:

Front Cover; Optimization Techniques: With Applications to Aerospace Systems; Copyright Page; Contents; Contributors; Foreword; Chapter 1. Theory of Maxima and Minima; 1.1 Necessary Conditions for Maxima or Minima; 1.2 Sufficient Conditions for Maxima or Minima; 1.3 Subsidiary Conditions; 1.4 Application to Integrals; 1.5 Remarks on Practical Application; 1.6 Optimization of Low Thrust Trajectories and Propulsion Systems for a 24-Hour Equatorial Satellite; References; Chapter 2. Direct Methods; 2.0 Introduction and Summary; 2.1 A Routine for Determining Some Optimum Trajectories

2.2 Elementary Graphic Solution; 2.3 Optimum Thrust Programming along a Given Curve; References; Chapter 3. Extremization of Linear Integrals by Green's Theorem; 3.1 Introduction; 3.2 Linear Problem; 3.3 Linear Isoperimetric Problem 70; 3.4 Linear Problems in Flight Mechanics; 3.5 Optimum Burning Program for a Short-Range, Nonlifting Missile; 3.6 Optimum Drag Modulation Program for the Re-Entry of a Variable- Geometry Ballistic Missile; References; Chapter 4. The Calculus of Variations in Applied Aerodynamics and Flight Mechanics; 4.1 Introduction; 4.2 The Problem of Bolza

4.3 Transformation of Variational Problems; 4.4 The Calculus of Variations in Applied Aerodynamics; 4.5 Bodies of Revolution Having Minimum Pressure Drag in Newtonian Flow; 4.6 Wings Having Minimum Pressure Drag in Linearized Supersonic Flow; 4.7 The Calculus of Variations in Flight Mechanics; 4.8 Optimum Trajectories for Rocket Flight in a Vacuum; 4.9 Optimum Trajectories for Rocket Flight in a Resisting Medium; 4.10 Conclusions; References; Chapter 5. Variational Problems with Bounded Control Variables; 5.0 Introduction; 5.1 Statement of the Problem; 5.2 Mass Flow Rate Limited Systems

5.3 Propulsive Power Limited Systems; 5.4 Thrust Acceleration Limited Systems; 5.5 Conclusions; 5.6 Example; Nomenclature; Appendix; References; Chapter 6. Methods of Gradients; 6.0 Introduction; 6.1 Gradient Technique in Ordinary Minimum Problems; 6.2 Gradient Technique in Flight Path Optimization Problems; 6.3 Solar Sailing Example; 6.4 Low-Thrust Example; 6.5 Remarks on the Relative Merits of Various Computational Techniques; 6.6 A Successive Approximation Scheme Employing the Min Operation; Appendix A; References; Chapter 7. Pontryagin Maximum Principle; 7.0 Introduction

7.1 An Introduction to the Pontryagin Maximum Principle; 7.2 The Adjoint System and the Pontryagin Maximum Principle; 7.3 The Calculus of Variations and the Pontryagin Maximum Principle; 7.4 Dynamic Programming and the Pontryagin Maximum Principle; 7.5 Examples; References; Chapter 8. On the Determination of Optimal Trajectories Via Dynamic Programming; 8.1 Introduction; 8.2 Dynamic Programming; 8.3 One-Dimensional Problems; 8.4 Constraints-I; 8.5 Constraints-II; 8.6 Discussion; 8.7 Two-Dimensional Problems; 8.8 One-Dimensional Case; 8.9 Discussion; 8.10 Two-Dimensional Case; 8.11 Discussion;References

Notes:

Includes bibliographical references.

Description based upon print version of record.

ISBN:

1-282-28997-7

9786612289972

0-08-095513-4

OCLC:

298845406