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.
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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.
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Paperback. Condition: new. Paperback. 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 KuhnTucker 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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls. This book treats optimal problems for systems described by ordinary and partial differential equations, using an approach that unifies finite dimensional and infinite dimensional nonlinear programming. Problems include control and state constraints and target conditions. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521154543
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Condition: New. Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 816 pages, Illustrations. BIC Classification: PBUD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 41. Weight in Grams: 1120. . 2010. Reissue. paperback. . . . . Seller Inventory # V9780521154543
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Paperback. Condition: new. Paperback. 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 KuhnTucker 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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls. This book treats optimal problems for systems described by ordinary and partial differential equations, using an approach that unifies finite dimensional and infinite dimensional nonlinear programming. Problems include control and state constraints and target conditions. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521154543
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Condition: New. Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 816 pages, Illustrations. BIC Classification: PBUD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 41. Weight in Grams: 1120. . 2010. Reissue. paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780521154543
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book treats optimal problems for systems described by ordinary and partial differential equations, using an approach that unifies finite dimensional and infinite dimensional nonlinear programming. Problems include control and state constraints and targ. Seller Inventory # 446928189
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