A State Space Approach to Canonical Factorization with Applications (Record no. 373006)

000 -LEADER
fixed length control field 04680nam a22005535i 4500
001 - CONTROL NUMBER
control field 978-3-7643-8753-2
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20180115171801.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110128s2010 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783764387532
-- 978-3-7643-8753-2
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-7643-8753-2
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA329-329.9
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT037000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.724
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bart, Harm.
Relator term author.
245 12 - TITLE STATEMENT
Title A State Space Approach to Canonical Factorization with Applications
Medium [electronic resource] /
Statement of responsibility, etc. by Harm Bart, Marinus A. Kaashoek, André C. M. Ran.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Basel :
Name of producer, publisher, distributor, manufacturer Birkhäuser Basel,
Date of production, publication, distribution, manufacture, or copyright notice 2010.
300 ## - PHYSICAL DESCRIPTION
Extent 432 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Operator Theory: Advances and Applications, Linear Operators and Linear Systems ;
Volume/sequential designation 200
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Convolution equations, canonical factorization and the state space method -- The role of canonical factorization in solving convolution equations -- The state space method and factorization -- Convolution equations with rational matrix symbols -- Explicit solutions using realizations -- Factorization of non-proper rational matrix functions -- Equations with non-rational symbols -- Factorization of matrix functions analytic in a strip -- Convolution equations and the transport equation -- Wiener-Hopf factorization and factorization indices -- Factorization of selfadjoint rational matrix functions -- Preliminaries concerning minimal factorization -- Factorization of positive definite rational matrix functions -- Pseudo-spectral factorizations of selfadjoint rational matrix functions -- Review of the theory of matrices in indefinite inner product spaces -- Riccati equations and factorization -- Canonical factorization and Riccati equations -- The symmetric algebraic Riccati equation -- J-spectral factorization -- Factorizations and symmetries -- Factorization of positive real rational matrix functions -- Contractive rational matrix functions -- J-unitary rational matrix functions -- Applications of J-spectral factorizations -- Application to the rational Nehari problem -- Review of some control theory for linear systems -- H-infinity control applications.
520 ## - SUMMARY, ETC.
Summary, etc. The present book deals with canonical factorization problems for di?erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su?cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di?erent ?elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Matrix theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of complex variables.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Operator theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Operations research.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Management science.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Operator Theory.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Linear and Multilinear Algebras, Matrix Theory.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Operations Research, Management Science.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of a Complex Variable.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kaashoek, Marinus A.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Ran, André C. M.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783764387525
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Operator Theory: Advances and Applications, Linear Operators and Linear Systems ;
Volume number/sequential designation 200
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-7643-8753-2">http://dx.doi.org/10.1007/978-3-7643-8753-2</a>
912 ## -
-- ZDB-2-SMA
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Date last seen Price effective from Koha item type
  Not Lost     EBook e-Library e-Library 2018-01-15 2018-01-15 2018-01-15 eBook

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