Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous problems, which introduce additional topics and illustrate basic concepts, appear throughout the text. Solution guide available upon request. 131 figures. 14 tables. 1970 edition.
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34 of 35 people found the following review helpful:
5.0 out of 5 stars
A Global Optimum of an Optimal Control Book,
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This review is from: Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering) (Paperback)
This book is very reader friendly. It introduces Dynamic Programming, Variational Calculus, Pontryagin Minimum Principle and in its final section some Numerical Methods. Despite being published in the seventies, this is a truly GOOD CLASSIC (there are bad classics).
In my opinion, to the student, Kirk is superior to Citron, to Athans and to Lewis (this is more recent), that is, this book is more concerned about teaching people. Athans is more encyclopedic but much more time-consuming to read. With Kirk you will really learn the elements of optimal control theory.
13 of 13 people found the following review helpful:
5.0 out of 5 stars
Classic that never goes out of style,
By Justin (Cambridge, MA USA) - See all my reviews
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This review is from: Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering) (Paperback)
My professor chose this book to use in an Optimal Control class partly because it is very affordable. On top of that, its contents are superb, giving very clear explanations of the fundamental principles underlying Optimal Control for nonlinear/linear systems.
Despite its long history, I would think that all material are still relevant, although there are available more "modern" numerical techniques (nonetheless, it's still always good to know how things were done "back in those days"). I would grade this as a must-have for the beginning student in Optimal Control. I have always been a fan of Dover books, publishing quality books at rock bottom prices. This one has just reinforced my liking of Dover Publishing.
11 of 11 people found the following review helpful:
5.0 out of 5 stars
Practical Excellent Introduction,
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This review is from: Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering) (Paperback)
It is an excellent "first book" which is very easy to read and covers broad range of topics: Dynamic Programming leading to Hamilton-Jacobi using Bellman's principle, Calculus of Variations, Hamiltonian Equations, Pontryagin's principle and finally numerical solutions (two point boundary value problems based and using direct methods from operations research methods).
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Citations (learn more)
21
books
cite this book:
See all 21 books citing this book
- Optimal Control Systems (Electrical Engineering Series) by D. Subbaram Naidu in Front Matter, page 19, and page 249
- Differentially Flat Systems (Automation and Control Engineering) by Hebertt Sira-Ramírez on page 374, and page 408
- Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems: A Volume ... in Operations Research & Management Science) by Houmin Yan on page 70
- Handbook of Polymer Science and Technology. Volume 1: Synthesis and Properties by Nicholas P. Cheremisinoff on page 466
- The Calculus of Variations and Optimal Control (Mathematical Concepts and Methods in Science and Engineering) by George Leitmann in Back Matter
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