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: Direct Methods in Control Problems
  name:
    name part: Falb, Peter.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 311 p. 14 illus. online resource.
  abstract: The primary focus of this book is on explicating the direct method approach. Historically, direct methods have not been fully exploited in control problems. The key is constructing convergent minimizing families. Integration methods (for example the gradient method) and representation methods (such as the Ritz-Galerkin and Finite Element methods) are examined in this text in an abstract (with concrete examples) functional analytic way. The aim is to consider direct methods from a unified general point of view and to provide a stimulus for future research. Explicitly, implicitly and by example, potential areas of research interest are indicated. The book is a suitable reference for graduate students, researchers, applied mathematicians, and control engineers. Some of the material is of independent mathematical interest. The work may be used as a text for a graduate course or seminar on direct methods in control. A degree of mathematical sophistication and some knowledge of control theory is required.
  table of contents: Part I. Introduction -- Introductory Remarks -- Historical Perspective -- Outline of Contents -- Part II. Problem Statement -- Deterministic Systems -- Stochastic Systems -- General Problem -- Part III. The Direct Method Approach: Generalities -- General Approach -- Gradient and Integration Methods -- Representation Methods -- Part IV. Gradient and Integration Methods in Control Problems -- Computation of Gradients for ODE Problems -- Computation of Gradients for PDE Problems -- Integration Methods -- Part V. Representation Methods -- Ritz-Galerkin Expansion -- Karhunen-Loeve Expansion -- Lévy Processes -- Bibliography -- Index .
  note: by Peter Falb.
  subject:
    topic: System theory
  subject:
    topic: Control engineering
  subject:
    topic: Robotics
  subject:
    topic: Mechatronics
  subject:
    topic: Calculus of variations
  subject:
    topic: Approximation theory
  subject:
    topic: Probabilities
  subject:
    topic: Computer mathematics
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Control, Robotics, Mechatronics
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Computational Mathematics and Numerical Analysis
  classification: Q295
  classification: QA402.3-402.37
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780817647230
  identifier: https://doi.org/10.1007/978-0-8176-4723-0
  record info:
    record creation date: 200102
    record change date: 20200103161841.0
    record identifier: 978-0-8176-4723-0