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: Distributed-Order Dynamic Systems
    sub title: Stability, Simulation, Applications and Perspectives
  name:
    name part: Jiao, Zhuang.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Chen, YangQuan.
    role:
      role term: author.
  name:
    name part: Podlubny, Igor.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 90 p. 47 illus., 37 illus. in color. online resource.
  abstract: Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.
  table of contents: Introduction -- Distributed-order Linear Time-invariant System (DOLTIS) and Its Stability Analysis -- Noncommensurate Constant Orders as Special Cases of Doltis -- Distributed-order Filtering and Distributed-order Optimal Damping -- Numerical Solution of Differential Equations of Distributed Order -- Future Topics -- Appendix: MATLAB® Codes.
  note: by Zhuang Jiao, YangQuan Chen, Igor Podlubny.
  subject:
    topic: Engineering
  subject:
    topic: Energy
  subject:
    topic: System theory
  subject:
    topic: Control engineering
  subject:
    topic: Engineering
  subject:
    topic: Control
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Signal, Image and Speech Processing
  subject:
    topic: Energy, general
  classification: TJ212-225
  classification: 629.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Electrical and Computer Engineering
  identifier: 9781447128526
  identifier: http://dx.doi.org/10.1007/978-1-4471-2852-6
  record info:
    record creation date: 120224
    record change date: 20151029231222.0
    record identifier: 978-1-4471-2852-6