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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)
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The item Representation and Control of Infinite Dimensional Systems, by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Representation and Control of Infinite Dimensional Systems, by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 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 twovolume set is a selfcontained 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 Hinfinity theory and dissipative systems, and a new chapter on linear quadratic twoperson zerosum 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
 Language

 eng
 eng
 Edition
 Second Edition.
 Extent
 1 online resource (599 p.)
 Note
 "Completely revised and corrected second editio in a single ... volume"Pref
 Contents

 Finite Dimensional Linear Control Dynamical Systems
 Control of Linear Differential Systems
 Linear Quadratic TwoPerson ZeroSum 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
 Isbn
 9780817645816
 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
 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 twovolume set is a selfcontained 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 Hinfinity theory and dissipative systems, and a new chapter on linear quadratic twoperson zerosum 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
 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
 TJ212225
 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)
 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 TwoPerson ZeroSum 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
 10.1007/9780817645816
 Specific material designation
 remote
 System control number

 (CKB)1000000000282918
 (EBL)302185
 (OCoLC)184984529
 (SSID)ssj0000236143
 (PQKBManifestationID)11199842
 (PQKBTitleCode)TC0000236143
 (PQKBWorkID)10173312
 (PQKB)10333193
 (DEHe213)9780817645816
 (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)
 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 TwoPerson ZeroSum 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
 10.1007/9780817645816
 Specific material designation
 remote
 System control number

 (CKB)1000000000282918
 (EBL)302185
 (OCoLC)184984529
 (SSID)ssj0000236143
 (PQKBManifestationID)11199842
 (PQKBTitleCode)TC0000236143
 (PQKBWorkID)10173312
 (PQKB)10333193
 (DEHe213)9780817645816
 (MiAaPQ)EBC302185
 (EXLCZ)991000000000282918
Subject
 Mathematical optimization
 Mathematics
 Partial Differential Equations
 System theory
 Systems Theory, Control
 Applications of Mathematics
 Calculus of Variations and Optimal Control; Optimization
 Control and Systems Theory
 Control, Robotics, Mechatronics
 Differential equations, partial
Member of
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