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Infinite dimensional optimization and control theory

✍ Scribed by Fattorini, Hector O

Publisher
Cambridge University Press
Year
2010
Tongue
English
Leaves
818
Series
Encyclopedia of mathematics and its applications 62
Edition
1. pbk. print
Category
Library
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✦ 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. Abstract minimization problems: 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: applications to hyperbolic control systems
7. Abstract minimization problems in Banach spaces: abstract parabolic linear and semilinear equations
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: The abstract parabolic case
Part III. Relaxed Controls: 12. Spaces of relaxed controls: topology and measure theory
13. Relaxed controls in finite dimensional systems: existence theory
14. Relaxed controls in infinite dimensional spaces: existence theory.

✦ Subjects

Kontrolltheorie;Optimierung;Optimierung--Unendlichdimensionales System;Steuerungstheorie--Unendlichdimensionales System;Unendlichdimensionales System;Unendlichdimensionales System--Optimierung;Unendlichdimensionales System--Steuerungstheorie;Variationsrechnung;Unendlich dimensionales System;Unendlichdimensionales System -- Optimierung;Optimierung -- Unendlichdimensionales System;Unendlichdimensionales System -- Steuerungstheorie;Steuerungstheorie -- Unendlichdimensionales System

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