rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Representation and Control of Infinite Dimensional Systems
  name:
    name part: Bensoussan, Alain.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Prato, Giuseppe Da.
    role:
      role term: author.
  name:
    name part: Delfour, Michel C.
    role:
      role term: author.
  name:
    name part: Mitter, Sanjoy K.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2007
    edition: Second Edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXVIII, 576 p. 5 illus. online resource.
  abstract: "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…
  table of 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.
  note: by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy K. Mitter.
  subject:
    topic: Engineering
  subject:
    topic: Partial differential equations
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: System theory
  subject:
    topic: Calculus of variations
  subject:
    topic: Control engineering
  subject:
    topic: Robotics
  subject:
    topic: Mechatronics
  subject:
    topic: Engineering
  subject:
    topic: Control
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Control, Robotics, Mechatronics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Applications of Mathematics
  classification: TJ212-225
  classification: 629.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Systems & Control: Foundations & Applications
  identifier: 9780817645816
  identifier: http://dx.doi.org/10.1007/978-0-8176-4581-6
  record info:
    record creation date: 100301
    record change date: 20151204145058.0
    record identifier: 978-0-8176-4581-6