(Ebook) Infinite dimensional optimization and control theory 1st edition by Hector O Fattorini 0521154545 9780521154543

(Ebook) Infinite dimensional optimization and control theory 1st edition by Hector O Fattorini 0521154545 9780521154543

Infinite dimensional optimization and control theory 1st edition by Hector O Fattorini - Ebook PDF Instant Download/DeliveryISBN: 0521154545, 9780521154543 

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Product details:

ISBN-10 :  0521154545 

ISBN-13 :  9780521154543 

Author:  Hector O Fattorini 

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.

Infinite dimensional optimization and control theory 1st table of contents:

Part 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

Part 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

Part III - Relaxed Controls
12 - Spaces of Relaxed Controls. Topology and Measure Theory
13 - Relaxed Controls in Finite Dimensional Systems
14 - Relaxed Controls in Infinite Dimensional Systems

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Tags: Infinite dimensional, optimization, control theory, Hector Fattorini