Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming. Series Editor(s): Rota, G.-C.; Doran, B.; Ismail, M.; Lam, T. Y.; Wutwak, E.; Flajolet, Philippe; Lutwak, E. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 816 pages, 46 b/w illus. BIC Classification: PBKQ; PBU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 43. Weight in Grams: 1250. . 1999. hardcover. . . . .

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Bibliographic Details

Title: Infinite Dimensional Optimization and Control Theory: 62 (Encyclopedia of Mathematics and its Applications, Series Number 62)
Publisher: Cambridge University Press
Publication Date: 1999
Language: English
ISBN 10: 0521451256
ISBN 13: 9780521451253
Binding: Hardcover
Condition: New

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 Matem�tica, 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.

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