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: Optimal Trajectory Tracking of Nonlinear Dynamical Systems
  name:
    name part: Löber, Jakob.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 243 p. 36 illus., 32 illus. in color. online resource.
  abstract: By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry.
  table of contents: Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diﬀusion System.
  note: by Jakob Löber.
  subject:
    topic: Physics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Calculus of variations
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Physics
  subject:
    topic: Applications of Nonlinear Dynamics and Chaos Theory
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Vibration, Dynamical Systems, Control
  subject:
    topic: Dynamical Systems and Ergodic Theory
  classification: QC174.7-175.36
  classification: 621
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Theses, Recognizing Outstanding Ph.D. Research
  identifier: 9783319465746
  identifier: http://dx.doi.org/10.1007/978-3-319-46574-6
  record info:
    record creation date: 161220
    record change date: 20161220194627.0
    record identifier: 978-3-319-46574-6