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- catalog abstract "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. Although written at a level suitable for beginning graduate students in applied mathematics this comprehensive treatment will also be a valuable reference for researchers in control theory.".
- catalog contributor b10337694.
- catalog created "1999.".
- catalog date "1999".
- catalog date "1999.".
- catalog dateCopyrighted "1999.".
- catalog description "Although written at a level suitable for beginning graduate students in applied mathematics this comprehensive treatment will also be a valuable reference for researchers in control theory.".
- catalog description "Includes bibliographical references (pages 773-793) and index.".
- catalog description "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.".
- catalog description "pt. I. Finite Dimensional Control Problems. 1. Calculus of Variations and Control Theory. 2. Optimal Control Problems Without Target Conditions. 3. Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. 4. The Minimum Principle for General Optimal Control Problems -- pt. II. Infinite Dimensional Control Problems. 5. Differential Equations in Banach Spaces and Semigroup Theory. 6. Abstract Minimization Problems in Hilbert Spaces. 7. Abstract Minimization Problems in Banach Spaces. 8. Interpolation and Domains of Fractional Powers. 9. Linear Control Systems. 10. Optimal Control Problems with State Constraints. 11. Optimal Control Problems with State Constraints -- pt. III. Relaxed Controls.".
- catalog extent "xv, 798 p. :".
- catalog isPartOf "Cambridge studies in advanced mathematics ; 54".
- catalog isPartOf "Encyclopedia of mathematics and its applications ; v. 62".
- catalog issued "1999".
- catalog issued "1999.".
- catalog language "eng".
- catalog publisher "New York : Cambridge University Press,".
- catalog subject "003/.5 20".
- catalog subject "Calculus of variations.".
- catalog subject "Control theory.".
- catalog subject "Mathematical optimization.".
- catalog subject "QA402.5 .F365 1999".
- catalog tableOfContents "pt. I. Finite Dimensional Control Problems. 1. Calculus of Variations and Control Theory. 2. Optimal Control Problems Without Target Conditions. 3. Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. 4. The Minimum Principle for General Optimal Control Problems -- pt. II. Infinite Dimensional Control Problems. 5. Differential Equations in Banach Spaces and Semigroup Theory. 6. Abstract Minimization Problems in Hilbert Spaces. 7. Abstract Minimization Problems in Banach Spaces. 8. Interpolation and Domains of Fractional Powers. 9. Linear Control Systems. 10. Optimal Control Problems with State Constraints. 11. Optimal Control Problems with State Constraints -- pt. III. Relaxed Controls.".
- catalog title "Infinite dimensional optimization and control theory / H.O. Fattorini.".
- catalog type "text".