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Combination of Lyapunov and Density Functions for Stability of Rotational Motion

Vasconcelos, J.F.; Rantzer, Anders LU ; Silvestre, C. and Oliveira, P. (2011) In IEEE Transactions on Automatic Control 56(11). p.2599-2607
Abstract
Lyapunov methods and density functions provide dual characterizations of the solutions of a nonlinear dynamic system. This work exploits the idea of combining both techniques, to yield stability results that are valid for almost all the solutions of the system. Based on the combination of Lyapunov and density functions, analysis methods are proposed for the derivation of almost input-to-state stability, and of almost global stability in nonlinear systems. The techniques are illustrated for an inertial attitude observer, where angular velocity readings are corrupted by non-idealities.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Automatic Control
volume
56
issue
11
pages
2599 - 2607
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000296477000008
  • scopus:80455145379
ISSN
0018-9286
DOI
10.1109/TAC.2011.2123290
project
LCCC
language
English
LU publication?
yes
id
723448dd-8915-42d4-aa67-015f08f81f67 (old id 2203240)
alternative location
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5725165&tag=1
date added to LUP
2011-11-08 14:30:01
date last changed
2017-09-24 04:40:40
@article{723448dd-8915-42d4-aa67-015f08f81f67,
  abstract     = {Lyapunov methods and density functions provide dual characterizations of the solutions of a nonlinear dynamic system. This work exploits the idea of combining both techniques, to yield stability results that are valid for almost all the solutions of the system. Based on the combination of Lyapunov and density functions, analysis methods are proposed for the derivation of almost input-to-state stability, and of almost global stability in nonlinear systems. The techniques are illustrated for an inertial attitude observer, where angular velocity readings are corrupted by non-idealities.},
  author       = {Vasconcelos, J.F. and Rantzer, Anders and Silvestre, C. and Oliveira, P.},
  issn         = {0018-9286},
  language     = {eng},
  number       = {11},
  pages        = {2599--2607},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Automatic Control},
  title        = {Combination of Lyapunov and Density Functions for Stability of Rotational Motion},
  url          = {http://dx.doi.org/10.1109/TAC.2011.2123290},
  volume       = {56},
  year         = {2011},
}