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

Vasconcelos, J.F. ; Rantzer, Anders LU orcid ; 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.
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to conference
publication status
published
subject
conference name
Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
conference location
Shanghai, China
conference dates
2009-12-16
external identifiers
  • scopus:77950842442
language
English
LU publication?
yes
id
0a2ed078-d093-47ad-a7b7-33c504a2317e (old id 1626559)
date added to LUP
2016-04-04 13:10:46
date last changed
2023-09-06 15:30:57
@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}},
  url          = {{https://lup.lub.lu.se/search/files/6065952/8146072.pdf}},
  year         = {{2009}},
}