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Combination of Lyapunov Functions and Density Functions for Stability of Rotational Motion

Vasconcelos, J.F.; Rantzer, Anders LU ; Silvestre, C. and Oliveira, P. (2009) Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
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.
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Contribution to conference
publication status
published
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conference name
Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
external identifiers
  • Scopus:77950842442
language
English
LU publication?
yes
id
0a2ed078-d093-47ad-a7b7-33c504a2317e (old id 1626559)
date added to LUP
2010-07-01 09:39:31
date last changed
2016-10-13 04:53:23
@misc{0a2ed078-d093-47ad-a7b7-33c504a2317e,
  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 <br/><br>
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.},
  language     = {eng},
  title        = {Combination of Lyapunov Functions and Density Functions for Stability of Rotational Motion},
  year         = {2009},
}