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Optimal Control Theory for Applications /

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This textbook is the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal cont...

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Bibliographic Details
Main Author: Hull, David G.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2003.
Series:Mechanical engineering series.
Subjects:
Engineering.
Engineering mathematics.
Mechanical engineering.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction to Optimization
  • 2. Unconstrained Minimization
  • 3. Constrained Minimization: Equality Constraints
  • 4. Constrained Minimization: Inequality Constraints
  • 5. Minimization Using Matrix Notation
  • 6. Differentials in Optimal Control
  • 7. Controllability
  • 8. No States
  • 9. Fixed Final Time: First Differential
  • 10. Fixed Final Time: Tests for a Minimum
  • 11. Fixed Final Time: Second Differential
  • 12. Fixed Final Time Guidance
  • 13. Free Final Time
  • 14. Parameters
  • 15. Free Initial Time and States
  • 16. Control Discontinuities
  • 17. Path Constraints
  • 18. Approximate Solutions of Algebraic Equations
  • 19. Approximate Solutions of Differential Equations
  • 20. Approximate Solutions of Control Problems
  • 21. Conversion of Optimal Control Problems into Parameter Optimization Problems
  • Appendix A. First and Second Variations by Taylor Series Expansion.