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Almost global stability of phase-locked loops

På svenska

Author

Summary, in English

Many control systems have a global dynamical behavior that in addition to a desired stable equilibrium has one or more unstable equilibria or other exceptional trajectories. Typical examples of such systems are pendulums or so called phase locked loops. The objective of the paper is to compare two different methods for analysis of the global behavior in such systems. The first method is LaSalle's invariant set theorem (1967). The second method is the criterion for almost global stability introduced by the author (2001)

Publishing year

2001

Language

English

Pages

899-900

Publication/Series

Proceedings of the 40th IEEE Conference on Decision and Control, 2001.

Volume

1

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • unstable equilibria
  • stable equilibrium
  • phase-locked loops
  • global dynamical behavior
  • global behavior
  • asymptotic stability
  • LaSalle invariant set theorem
  • almost global stability

Status

Published

ISBN/ISSN/Other

  • ISBN: 0-7803-7061-9