Infinite Dimensional Optimization and Control Theory [Paperback]

Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.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. Applications of the theory include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal 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.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. Applications of the theory include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal 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.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 equatilÓ4