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Author: | Jack Macki,Aaron Strauss |

Subcategory: | Mathematics |

Language: | English |

Publisher: | Springer (May 9, 1995) |

Pages: | 168 pages |

Category: | Math and Science |

Rating: | 4.2 |

Other formats: | azw rtf mobi txt |

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level.

Jack Macki, Aaron Strauss

Jack Macki, Aaron Strauss. This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations.

Undergraduate Texts in Mathematics. Anglin: Mathematics: A Concise History and Philosophy. Introduction to optimal control theory. Readings in Mathematics. Apostol: Introduction to Analytic Number Theory. Armstrong: Groups and Symmetry. Undergraduate texts in mathematics) Bibliography: p. Includes index.

Few mathematics books manage to serve simultaneously the needs of many different types of readers, but this book by Frost (Ulm Univ. Germany) and Hoffmann (Univ. of Konstanz, Germany) offers satisfaction to everyone interested in optimizatio. .book is fresh in conception and lucid in style and will appeal to anyon.invites the readers to think for themselves.

In control theory, one is interested in governing the state of a system by using controls. The best way to understand these three concepts is through examples. Optimal control theory, a relatively new branch of mathematics, determines the optimal way to control such a dynamic system formulating a simple example.

An Introduction to Mathematical Optimal Control Theory Version . Chapter 1: Introduction Chapter 2: Controllability, bang-bang principle Chapter 3: Linear time-optimal control Chapter 4: The Pontryagin Maximum Principle Chapter 5: Dynamic programming Chapter 6: Game theory Chapter 7: Introduction to stochastic control theory Appendix: Proofs of the Pontryagin Maximum Principle Exercises References. As this is a course for undergraduates, I have dispensed in certain proofs with various measurability and continuity issues, and as compensation have added various critiques as to the lack of total rigor.

The book covers several advanced topics, not commonly treated in introductory texts, such as Trachtenbrot's undecidability theorem.

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Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in. Foulds, L. R. (1981). Optimization Techniques: An Introduction.

Undergraduate Text in Mathematics - Free download as Word Doc . oc. ocx), PDF File . df), Text File . xt) or read online for free. 16. Macki, Jack; Strauss, Aaron (1981). ISBN 978-0-387-90624-9. 17.

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].

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