Combination of Lyapunov Functions and Density Functions for Stability of Rotational Motion
(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:
https://lup.lub.lu.se/record/1626559
- author
- Vasconcelos, J.F. ; Rantzer, Anders LU ; Silvestre, C. and Oliveira, P.
- organization
- publishing date
- 2009
- 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
- 2024-02-29 01:10:50
@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}}, }