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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
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Optimal Control (Paperback, Softcover reprint of the original 1st ed. 1987)
Loot Price: R1,501
Discovery Miles 15 010
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Optimal Control (Paperback, Softcover reprint of the original 1st ed. 1987)
Series: Contemporary Soviet mathematics
Expected to ship within 10 - 15 working days
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Total price: R1,521
Discovery Miles: 15 210
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There is an ever-growing interest in control problems today, con
nected with the urgent problems of the effective use of natural
resources, manpower, materials, and technology. When referring to
the most important achievements of science and technology in the
20th Century, one usually mentions the splitting of the atom, the
exploration of space, and computer engineering. Achievements in
control theory seem less spectacular when viewed against this
background, but the applications of control theory are playing an
important role in the development of modern civilization, and there
is every reason to believe that this role will be even more signifi
cant in the future. Wherever there is active human participation,
the problem arises of finding the best, or optimal, means of
control. The demands of economics and technology have given birth
to optimization problems which, in turn, have created new branches
of mathematics. In the Forties, the investigation of problems of
economics gave rise to a new branch of mathematical analysis called
linear and convex program ming. At that time, problems of
controlling flying vehicles and technolog ical processes of complex
structures became important. A mathematical theory was formulated
in the mid-Fifties known as optimal control theory. Here the
maximum principle of L. S. Pontryagin played a pivotal role. Op
timal control theory synthesized the concepts and methods of
investigation using the classical methods of the calculus of
variations and the methods of contemporary mathematics, for which
Soviet mathematicians made valuable contributions."
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