Infinite Dimensional Optimization and Control Theory Hardback
by Hector O. (Professor Emeritus, University of California, Los Angeles) Fattorini
Part of the Encyclopedia of Mathematics and its Applications series
Hardback
Description
This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations.
These necessary conditions are obtained from Kuhn–Tucker theorems for nonlinear programming problems in infinite dimensional spaces.
The optimal control problems include control constraints, state constraints and target conditions.
Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory.
Existence of optimal controls is established 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.
Information
-
Out of stock
- Format:Hardback
- Pages:816 pages
- Publisher:Cambridge University Press
- Publication Date:28/03/1999
- Category:
- ISBN:9780521451253
Information
-
Out of stock
- Format:Hardback
- Pages:816 pages
- Publisher:Cambridge University Press
- Publication Date:28/03/1999
- Category:
- ISBN:9780521451253
