Infinite Dimensional Optimization and Control Theory
Book Details
Format
Hardback or Cased Book
Book Series
Encyclopedia of Mathematics and its Applications
ISBN-10
0521451256
ISBN-13
9780521451253
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 28th, 1999
Print length
816 Pages
Weight
1,250 grams
Dimensions
24.20 x 16.50 x 2.90 cms
Product Classification:
Calculus of variationsOptimization
Ksh 36,350.00
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This book treats optimal problems for systems described by ordinary and partial differential equations, using an approach that unifies finite dimensional and infinite dimensional nonlinear programming. Problems include control and state constraints and target conditions.
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.
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