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Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Representation and Control of Infinite Dimensional Systems (Record no. 425695)

000 -LEADER
fixed length control field 06929nam a22006015i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9780817645816
-- 978-0-8176-4581-6
024 7# -
-- 10.1007/978-0-8176-4581-6
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- TJ212-225
072 #7 -
-- TJFM
-- bicssc
072 #7 -
-- TEC004000
-- bisacsh
072 #7 -
-- TJFM
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 629.8
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bensoussan, Alain.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Representation and Control of Infinite Dimensional Systems
Medium [electronic resource] /
Statement of responsibility, etc by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter.
250 ## - EDITIONSTATEMENT
Edition statement Second Edition.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Boston, MA :
Name of producer, publisher, distributor, manufacturer Birkhäuser Boston,
Date of production, publication, distribution, manufacture 2007.
300 ## -
-- XXVIII, 576 p. 5 illus.
-- 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 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Systems & Control: Foundations & Applications,
-- 2324-9749
505 0# -
-- Finite Dimensional Linear Control Dynamical Systems -- Control of Linear Differential Systems -- Linear Quadratic Two-Person Zero-Sum Differential Games -- Representation of Infinite Dimensional Linear Control Dynamical Systems -- Semigroups of Operators and Interpolation -- Variational Theory of Parabolic Systems -- Semigroup Methods for Systems With Unbounded Control and Observation Operators -- State Space Theory of Differential Systems With Delays -- Qualitative Properties of Infinite Dimensional Linear Control Dynamical Systems -- Controllability and Observability for a Class of Infinite Dimensional Systems -- Quadratic Optimal Control: Finite Time Horizon -- Bounded Control Operators: Control Inside the Domain -- Unbounded Control Operators: Parabolic Equations With Control on the Boundary -- Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary -- Quadratic Optimal Control: Infinite Time Horizon -- Bounded Control Operators: Control Inside the Domain -- Unbounded Control Operators: Parabolic Equations With Control on the Boundary -- Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary.
520 ## -
-- "This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition." "Presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field." —Mathematical Reviews (reviews of Volumes I and II of the First Edition) The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. New material and original features of the Second Edition: * Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into H-infinity theory and dissipative systems, and a new chapter on linear quadratic two-person zero-sum differential games. * A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently. * The material on delay systems and structural operators is not available elsewhere in book form. Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control.
650 #0 -
-- Systems theory.
650 #0 -
-- Mathematical optimization.
650 #0 -
-- Differential equations, partial.
650 #0 -
-- Mathematics.
650 14 -
-- Control.
-- http://scigraph.springernature.com/things/product-market-codes/T19010
650 24 -
-- Systems Theory, Control.
-- http://scigraph.springernature.com/things/product-market-codes/M13070
650 24 -
-- Calculus of Variations and Optimal Control; Optimization.
-- http://scigraph.springernature.com/things/product-market-codes/M26016
650 24 -
-- Control, Robotics, Mechatronics.
-- http://scigraph.springernature.com/things/product-market-codes/T19000
650 24 -
-- Partial Differential Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12155
650 24 -
-- Applications of Mathematics.
-- http://scigraph.springernature.com/things/product-market-codes/M13003
700 1# -
-- Prato, Giuseppe Da.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
700 1# -
-- Delfour, Michel C.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
700 1# -
-- Mitter, Sanjoy K.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9780817671150
776 08 -
-- Printed edition:
-- 9780817644611
830 #0 -
-- Systems & Control: Foundations & Applications,
-- 2324-9749
856 40 -
-- https://doi.org/10.1007/978-0-8176-4581-6
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)
Holdings
Location (home branch) Sublocation or collection (holding branch) Date acquired Piece designation (barcode) Koha item type
ISI Library, Kolkata ISI Library, Kolkata 2017-04-01 EB1378 E-BOOKS
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


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