519
F 27 gb
Fattorini, H. O.
Infinite Dimensional Optimization and Control
Theory [Электронный ресурс] : encyclopedia of mathematics and its
applications / H. O. Fattorini. - New York : Cambridge University
Press, 0000. - 798 p. - Includes bibliographical references (pages
773-793) and index. -
ISBN 0521421256 : Б. ц.
Кл.слова (ненормированные):
Mathematical
optimization --
Calculus of variations --
Control theory --
Математическое программирование
Аннотация: This book is on existence and necessary
conditions, such as Potryagin's maximum principle, for optimal
control problems described by ordinary and partial differential
equations. These necessary conditions are obtained from Kuhn-Tucker
theorems for nonlinear programming problems in infinite dimensional
spaces. The optimal control problems include control constraints,
state constraints and target conditions. Evolution partial
differential equations are studied using semigroup theory, abstract
differential equations in linear spaces, integral equations and
interpolation theory. Existence of optimal controls is established
for arbitrary control sets by means of a general theory of relaxed
controls.
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