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A State Space Approach to Canonical Factorization with Applications (Record no. 24037)

000 -LEADER
fixed length control field 04401nam a22004935i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151459.0
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
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA329-329.9
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.724
Edition number 23
264 #1 -
-- Basel :
-- Birkhäuser Basel,
-- 2010.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bart, Harm.
Relator term author.
245 12 - IMMEDIATE SOURCE OF ACQUISITION NOTE
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.
300 ## - PHYSICAL DESCRIPTION
Extent 432p.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Operator Theory: Advances and Applications, Linear Operators and Linear Systems ;
Volume number/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 of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations: the transport equation, singular integral equations, Wiener-Hopf equations with symbols analytic in a strip, and equations involving factorization of non-proper rational matrix functions. The analysis of canonical factorization for functions with symmetries, including spectral and J-spectral factorizations, related Ricatti equations, and elements of H-infinity control theory are also main topics. This book is the second book written by the four authors in which the state space factorization method is systematically used and developed further. In their first book, released in 2007, the emphasis is on non-canonical factorizations and degree one factorizations, in particular. The present book concentrates on canonical factorization and its applications. Together both books present a rich and far reaching update of the 1979 monograph, the first book in the OTAA series, written by the first three authors.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Matrix theory.
Topical term or geographic name as entry element Functions of complex variables.
Topical term or geographic name as entry element Operator theory.
Topical term or geographic name as entry element Operations research.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Operator Theory.
Topical term or geographic name as entry element Linear and Multilinear Algebras, Matrix Theory.
Topical term or geographic name as entry element Operations Research, Mathematical Programming.
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.
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
Display text Printed edition:
International Standard Book Number 9783764387525
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-7643-8753-2
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-10AUM Main Library2014-04-10 2014-04-10 E-Book   AUM Main Library515.724
Languages: 
English |
العربية