Infinite dimensional optimization and control theory (Record no. 213754)

000 -LEADER
fixed length control field aam a22 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 200316b 1999 ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521154543
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 003.5
Item number F2I6
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Fattorini, Hector O.
9 (RLIN) 394932
245 ## - TITLE STATEMENT
Title Infinite dimensional optimization and control theory
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Cambridge University Press
Date of publication, distribution, etc 1999
Place of publication, distribution, etc Cambridge
300 ## - PHYSICAL DESCRIPTION
Extent xv, 798 p.
Other physical details Includes bibliographical references and index
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Encyclopedia of mathematics and its applications; 62
9 (RLIN) 394938
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc 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. 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
7. Abstract minimization problems in Banach spaces
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
Part III. Relaxed controls
12. Spaces of relaxed controls. Topology and measure theory
13. Relaxed controls in finite dimensional systems
14. Relaxed controls in infinite dimensional systems.
520 ## - SUMMARY, ETC.
Summary, etc 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.

https://www.cambridge.org/core/books/infinite-dimensional-optimization-and-control-theory/01A8F63A952B118229FB4BCE5BD01FD6#fndtn-information
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical optimization
9 (RLIN) 394933
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Calculus of variations
9 (RLIN) 394934
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Control theory
9 (RLIN) 394935
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Permanent location Current location Shelving location Date acquired Source of acquisition Cost, normal purchase price Item location Full call number Barcode Date last seen Cost, replacement price Koha item type
          Non-fiction Vikram Sarabhai Library Vikram Sarabhai Library General Stacks 2020-03-16 13 7.00 Slot 16 (0 Floor, West Wing) 003.5 F2I6 201670 2020-03-16 9679.03 Books

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