Hector O. Fattorini

Infinite Dimensional Optimization and Control Theory

• Broschiertes Buch

Produktbeschreibung

Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 816
• Erscheinungstermin: 30. Juni 2010
• Englisch
• Abmessung: 234mm x 156mm x 43mm
• Gewicht: 1214g
• ISBN-13: 9780521154543
• ISBN-10: 0521154545
• Artikelnr.: 30975784

Autorenporträt

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.

Inhaltsangabe

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.