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Mathematical Methods in Optimization of Differential Systems (Hardcover, 1994 ed.)
Loot Price: R1,558
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Mathematical Methods in Optimization of Differential Systems (Hardcover, 1994 ed.)
Series: Mathematics and Its Applications, 310
Expected to ship within 10 - 15 working days
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This work is a revised and enlarged edition of a book with the same
title published in Romanian by the Publishing House of the Romanian
Academy in 1989. It grew out of lecture notes for a graduate course
given by the author at the University if Ia i and was initially
intended for students and readers primarily interested in
applications of optimal control of ordinary differential equations.
In this vision the book had to contain an elementary description of
the Pontryagin maximum principle and a large number of examples and
applications from various fields of science. The evolution of
control science in the last decades has shown that its meth ods and
tools are drawn from a large spectrum of mathematical results which
go beyond the classical theory of ordinary differential equations
and real analy ses. Mathematical areas such as functional analysis,
topology, partial differential equations and infinite dimensional
dynamical systems, geometry, played and will continue to play an
increasing role in the development of the control sciences. On the
other hand, control problems is a rich source of deep mathematical
problems. Any presentation of control theory which for the sake of
accessibility ignores these facts is incomplete and unable to
attain its goals. This is the reason we considered necessary to
widen the initial perspective of the book and to include a rigorous
mathematical treatment of optimal control theory of processes
governed by ordi nary differential equations and some typical
problems from theory of distributed parameter systems."
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