The Resource Representation and Control of Infinite Dimensional Systems, by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter, (electronic resource)

Representation and Control of Infinite Dimensional Systems, by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter, (electronic resource)

Label
Representation and Control of Infinite Dimensional Systems
Title
Representation and Control of Infinite Dimensional Systems
Statement of responsibility
by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
"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
Member of
http://library.link/vocab/creatorName
Bensoussan, Alain
Dewey number
629.8312
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 4VXq3r51dbc
  • tz9gi9xl1e8
  • aEJfPgopDls
  • fR41sPJUBMM
Language note
English
LC call number
TJ212-225
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Da Prato, Giuseppe.
  • Delfour, Michel C.
  • Mitter, Sanjoy K.
Series statement
Systems & Control: Foundations & Applications,
http://library.link/vocab/subjectName
  • System theory
  • Mathematical optimization
  • Differential equations, partial
  • Mathematics
  • Control and Systems Theory
  • Systems Theory, Control
  • Calculus of Variations and Optimal Control; Optimization
  • Control, Robotics, Mechatronics
  • Partial Differential Equations
  • Applications of Mathematics
Label
Representation and Control of Infinite Dimensional Systems, by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter, (electronic resource)
Instantiates
Publication
Note
"Completely revised and corrected second editio in a single ... volume"--Pref
Bibliography note
Includes bibliographical references (p. [541]-568) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
Second Edition.
Extent
1 online resource (599 p.)
Form of item
online
Isbn
9780817645816
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4581-6
Specific material designation
remote
System control number
  • (CKB)1000000000282918
  • (EBL)302185
  • (OCoLC)184984529
  • (SSID)ssj0000236143
  • (PQKBManifestationID)11199842
  • (PQKBTitleCode)TC0000236143
  • (PQKBWorkID)10173312
  • (PQKB)10333193
  • (DE-He213)978-0-8176-4581-6
  • (MiAaPQ)EBC302185
  • (EXLCZ)991000000000282918
Label
Representation and Control of Infinite Dimensional Systems, by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter, (electronic resource)
Publication
Note
"Completely revised and corrected second editio in a single ... volume"--Pref
Bibliography note
Includes bibliographical references (p. [541]-568) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
Second Edition.
Extent
1 online resource (599 p.)
Form of item
online
Isbn
9780817645816
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4581-6
Specific material designation
remote
System control number
  • (CKB)1000000000282918
  • (EBL)302185
  • (OCoLC)184984529
  • (SSID)ssj0000236143
  • (PQKBManifestationID)11199842
  • (PQKBTitleCode)TC0000236143
  • (PQKBWorkID)10173312
  • (PQKB)10333193
  • (DE-He213)978-0-8176-4581-6
  • (MiAaPQ)EBC302185
  • (EXLCZ)991000000000282918

Library Locations

  • Albert D. Cohen Management LibraryBorrow it
    181 Freedman Crescent, Winnipeg, MB, R3T 5V4, CA
    49.807878 -97.129961
  • Architecture/Fine Arts LibraryBorrow it
    84 Curry Place, Winnipeg, MB, CA
    49.807716 -97.136226
  • Archives and Special CollectionsBorrow it
    25 Chancellors Circle (Elizabeth Dafoe Library), Room 330, Winnipeg, MB, R3T 2N2, CA
    49.809961 -97.131878
  • Bibliothèque Alfred-Monnin (Université de Saint-Boniface)Borrow it
    200, avenue de la Cathédrale, Local 2110, Winnipeg, MB, R2H 0H7, CA
    49.888861 -97.119735
  • Bill Larson Library (Grace Hospital)Borrow it
    300 Booth Drive, G-227, Winnipeg, MB, R3J 3M7, CA
    49.882400 -97.276436
  • Carolyn Sifton - Helene Fuld Library (St. Boniface General Hospital)Borrow it
    409 Tache Avenue, Winnipeg, MB, R2H 2A6, CA
    49.883388 -97.126050
  • Concordia Hospital LibraryBorrow it
    1095 Concordia Avenue, Winnipeg, MB, R2K 3S8, CA
    49.913252 -97.064683
  • Donald W. Craik Engineering LibraryBorrow it
    75B Chancellors Circle (Engineering Building E3), Room 361, Winnipeg, MB, R3T 2N2, CA
    49.809053 -97.133292
  • E.K. Williams Law LibraryBorrow it
    224 Dysart Road, Winnipeg, MB, R3T 5V4, CA
    49.811829 -97.131017
  • Eckhardt-Gramatté Music LibraryBorrow it
    136 Dafoe Road (Taché Arts Complex), Room 257, Winnipeg, MB, R3T 2N2, CA
    49.807964 -97.132222
  • Elizabeth Dafoe LibraryBorrow it
    25 Chancellors Circle, Winnipeg, MB, R3T 2N2, CA
    49.809961 -97.131878
  • Fr. H. Drake Library (St. Paul's College)Borrow it
    70 Dysart Road, Winnipeg, MB, R3T 2M6, CA
    49.810605 -97.138184
  • J.W. Crane Memorial Library (Deer Lodge Centre)Borrow it
    2109 Portage Avenue, Winnipeg, MB, R3J 0L3, CA
    49.878000 -97.235520
  • Libraries Annex (not open to the public; please see web page for details)Borrow it
    25 Chancellors Circle (in the Elizabeth Dafoe Library), Winnipeg, MB, R3T 2N2, CA
    49.809961 -97.131878
  • Neil John Maclean Health Sciences LibraryBorrow it
    727 McDermot Avenue (Brodie Centre), 200 Level, Winnipeg, MB, R3E 3P5, CA
    49.903563 -97.160554
  • Sciences and Technology LibraryBorrow it
    186 Dysart Road, Winnipeg, MB, R3T 2M8, CA
    49.811526 -97.133257
  • Seven Oaks General Hospital LibraryBorrow it
    2300 McPhillips Street, Winnipeg, MB, R2V 3M3, CA
    49.955177 -97.148865
  • Sister St. Odilon Library (Misericordia Health Centre)Borrow it
    99 Cornish Avenue, Winnipeg, MB, R3C 1A2, CA
    49.879592 -97.160425
  • St. John's College LibraryBorrow it
    92 Dysart Road, Winnipeg, MB, R3T 2M5, CA
    49.811242 -97.137156
  • Victoria General Hospital LibraryBorrow it
    2340 Pembina Highway, Winnipeg, MB, R3T 2E8, CA
    49.806755 -97.152739
  • William R Newman Library (Agriculture)Borrow it
    66 Dafoe Road, Winnipeg, MB, R3T 2R3, CA
    49.806936 -97.135525
Processing Feedback ...