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Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
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Introduction to Optimal Control Theory (Paperback, Softcover reprint of the original 1st ed. 1982)
Loot Price: R1,378
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Introduction to Optimal Control Theory (Paperback, Softcover reprint of the original 1st ed. 1982)
Series: Undergraduate Texts in Mathematics
Expected to ship within 18 - 22 working days
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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].
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