Introduction to Optimal Control Theory (BOK)

Jack Macki

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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].

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 1995 Forfatter Jack Macki
Forlag
BERTRAMS PRINT ON DEMAND
ISBN 9780387906249
Antall sider 201 Dimensjoner 16,5cm x 24,2cm x 2,7cm
Vekt 436 gram Leverandør Bertram Trading Ltd
Emner og form Mathematics, Automatic control engineering