Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Infinite Dimensional Optimization and Control Theory

Infinite Dimensional Optimization and Control Theory

Fattorini, Hector O.

Paperback

Series: Encyclopedia of Mathematics and Its Applications, Book 62

General ComputersGeneral MathematicsProbability & Statistics

ISBN10: 0521154545
ISBN13: 9780521154543
Publisher: Cambridge
Published: Jun 24 2010
Pages: 816
Weight: 2.47
Height: 1.62 Width: 6.14 Depth: 9.21
Language: English
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.

1 different editions

Also available

Also in

General Mathematics

View All