Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications)

Fattorini, Hector O.

ISBN 10: 0521451256 / ISBN 13: 9780521451253

Published by Cambridge University Press, 1999

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Bibliographic Details

• Title: Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications)
• Publisher: Cambridge University Press
• Publication Date: 1999
• Language: English
• ISBN 10: 0521451256
• ISBN 13: 9780521451253
• Binding: Hardcover
• Condition: Like New
• Book Type: book

About this title

Synopsis

This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

About the Author

Hector O. Fattorini graduated from the Licenciado en Matemática, Universidad de Buenos Aires in 1960 and gained a Ph.D. in Mathematics from the Courant Institute of Mathematical Sciences, New York University, in 1965. Since 1967, he has been a member of the Department of Mathematics at the University of California, Los Angeles.