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Undergraduate Texts in Mathematics

Introduction to Optimal Control Theory

Authors: Macki, Jack, Strauss, Aaron

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  • ISBN 978-1-4612-5671-7
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Hardcover 67,59 €
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  • ISBN 978-0-387-90624-9
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Softcover 57,19 €
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  • ISBN 978-1-4612-5673-1
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About this Textbook

This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations. It is not intended as a state-of-the-art handbook for researchers. We have tried to keep two types of reader in mind: (1) mathematicians, graduate students, and advanced undergraduates in mathematics who want a concise introduction to a field which contains nontrivial interesting applications of mathematics (for example, weak convergence, convexity, and the theory of ordinary differential equations); (2) economists, applied scientists, and engineers who want to understand some of the mathematical foundations. of optimal control theory. In general, we have emphasized motivation and explanation, avoiding the "definition-axiom-theorem-proof" approach. We make use of a large number of examples, especially one simple canonical example which we carry through the entire book. In proving theorems, we often just prove the simplest case, then state the more general results which can be proved. Many of the more difficult topics are discussed in the "Notes" sections at the end of chapters and several major proofs are in the Appendices. We feel that a solid understanding of basic facts is best attained by at first avoiding excessive generality. We have not tried to give an exhaustive list of references, preferring to refer the reader to existing books or papers with extensive bibliographies. References are given by author's name and the year of publication, e.g., Waltman [1974].

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-1-4612-5671-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-0-387-90624-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-1-4612-5673-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Optimal Control Theory
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1982
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-5671-7
DOI
10.1007/978-1-4612-5671-7
Hardcover ISBN
978-0-387-90624-9
Softcover ISBN
978-1-4612-5673-1
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XIV, 168
Topics