Infinite dimensional optimization and control theory /:

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 dime...

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1. Verfasser: Fattorini, H. O. (Hector O.), 1938-
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: New York : Cambridge University Press, 1999.
Schriftenreihe:Encyclopedia of mathematics and its applications ; v. 62.
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Online-Zugang:Volltext
Zusammenfassung: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.
Beschreibung:1 online resource (xv, 798 pages)
Bibliographie:Includes bibliographical references (pages 773-793) and index.
ISBN:9781107088580
1107088585
9780511574795
0511574797

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