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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Problems and Methods of Optimal Control (Hardcover, 1994 ed.)
Loot Price: R2,941
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Problems and Methods of Optimal Control (Hardcover, 1994 ed.)
Series: Mathematics and Its Applications, 286
Expected to ship within 10 - 15 working days
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The numerous applications of optimal control theory have given an
incentive to the development of approximate techniques aimed at the
construction of control laws and the optimization of dynamical
systems. These constructive approaches rely on small parameter
methods (averaging, regular and singular perturbations), which are
well-known and have been proven to be efficient in nonlinear
mechanics and optimal control theory (maximum principle,
variational calculus and dynamic programming). An essential feature
of the procedures for solving optimal control problems consists in
the necessity for dealing with two-point boundary-value problems
for nonlinear and, as a rule, nonsmooth multi-dimensional sets of
differential equations. This circumstance complicates direct
applications of the above-mentioned perturbation methods which have
been developed mostly for investigating initial-value (Cauchy)
problems. There is now a need for a systematic presentation of
constructive analytical per turbation methods relevant to optimal
control problems for nonlinear systems. The purpose of this book is
to meet this need in the English language scientific literature and
to present consistently small parameter techniques relating to the
constructive investigation of some classes of optimal control
problems which often arise in prac tice. This book is based on a
revised and modified version of the monograph: L. D. Akulenko
"Asymptotic methods in optimal control." Moscow: Nauka, 366 p. (in
Russian)."
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