Infinite Dimensional Optimization and Control Theory
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Infinite Dimensional Optimization and Control Theory by H. O. Fattorini
Book DescriptionThis 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. 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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Book DetailsISBN: 9780521451253
(234mm x 156mm x 43mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Mar-1999
Country of Publication: United Kingdom
Books By Author H. O. Fattorini
Infinite Dimensional Linear Control Systems, Hardback (July 2005)» View all books by H. O. Fattorini
Aims to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y(t) = Ay(t) + u(t) that ends at the very frontier of research. This work includes applications to optimal diffusion processes; applications to optimal heat propagation processes; and more.
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Author Biography - H. O. Fattorini
Hector O. Fattorini graduated from the Licenciado en Matematica, 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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