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Infinite Dimensional Optimization and Control Theory by Hector O. Fattorini
Infinite Dimensional Optimization and Control Theory by Hector O. Fattorini
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Infinite Dimensional Optimization and Control Theory

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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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

Author Biography:

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.
Release date Australia
June 24th, 2010
Audience
  • Professional & Vocational
Pages
816
Dimensions
152x229x41
ISBN-13
9780521154543
Product ID
7218138

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