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Almost global stability of phase-locked loops

Rantzer, Anders LU (2001) In Proceedings of the 40th IEEE Conference on Decision and Control, 2001. 1. p.899-900
Abstract
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)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
unstable equilibria, stable equilibrium, phase-locked loops, global dynamical behavior, global behavior, asymptotic stability, LaSalle invariant set theorem, almost global stability
in
Proceedings of the 40th IEEE Conference on Decision and Control, 2001.
volume
1
pages
899 - 900
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:0035709128
ISBN
0-7803-7061-9
DOI
10.1109/.2001.980221
language
English
LU publication?
yes
id
05bfee97-fcfa-4887-b640-3cb75d21048f (old id 537894)
date added to LUP
2007-09-24 16:45:45
date last changed
2017-03-05 04:25:08
@inproceedings{05bfee97-fcfa-4887-b640-3cb75d21048f,
  abstract     = {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)},
  author       = {Rantzer, Anders},
  booktitle    = {Proceedings of the 40th IEEE Conference on Decision and Control, 2001.},
  isbn         = {0-7803-7061-9},
  keyword      = {unstable equilibria,stable equilibrium,phase-locked loops,global dynamical behavior,global behavior,asymptotic stability,LaSalle invariant set theorem,almost global stability},
  language     = {eng},
  pages        = {899--900},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Almost global stability of phase-locked loops},
  url          = {http://dx.doi.org/10.1109/.2001.980221},
  volume       = {1},
  year         = {2001},
}