National Science Library of Georgia

Infinite dimensional optimization and control theory / (Record no. 518257)

MARC details
000 -LEADER
fixed length control field 03064nam a22003978i 4500
001 - CONTROL NUMBER
control field CR9780511574795
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160238.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090522s1999||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511574795 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521451253 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521154543 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA402.5
Item number .F365 1999
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 003/.5
Edition number 20
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Fattorini, H. O.
Fuller form of name (Hector O.),
Dates associated with a name 1938-
Relator term author.
245 10 - TITLE STATEMENT
Title Infinite dimensional optimization and control theory /
Statement of responsibility, etc H.O. Fattorini.
246 3# - VARYING FORM OF TITLE
Title proper/short title Infinite Dimensional Optimization & Control Theory
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 1999.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xv, 798 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Encyclopedia of mathematics and its applications ;
Volume number/sequential designation volume 62
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 00 - FORMATTED CONTENTS NOTE
Miscellaneous information pt. I.
Title Finite Dimensional Control Problems.
Miscellaneous information 1.
Title Calculus of Variations and Control Theory.
Miscellaneous information 2.
Title Optimal Control Problems Without Target Conditions.
Miscellaneous information 3.
Title Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem.
Miscellaneous information 4.
Title The Minimum Principle for General Optimal Control Problems --
Miscellaneous information pt. II.
Title Infinite Dimensional Control Problems.
Miscellaneous information 5.
Title Differential Equations in Banach Spaces and Semigroup Theory.
Miscellaneous information 6.
Title Abstract Minimization Problems in Hilbert Spaces.
Miscellaneous information 7.
Title Abstract Minimization Problems in Banach Spaces.
Miscellaneous information 8.
Title Interpolation and Domains of Fractional Powers.
Miscellaneous information 9.
Title Linear Control Systems.
Miscellaneous information 10.
Title Optimal Control Problems with State Constraints.
Miscellaneous information 11.
Title Optimal Control Problems with State Constraints --
Miscellaneous information pt. III.
Title Relaxed Controls.
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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical optimization.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Calculus of variations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Control theory.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521451253
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Encyclopedia of mathematics and its applications ;
Volume number/sequential designation v. 62.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511574795">https://doi.org/10.1017/CBO9780511574795</a>

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