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:
https://lup.lub.lu.se/record/2203240
- author
- Vasconcelos, J.F.
; Rantzer, Anders
LU
; Silvestre, C.
and Oliveira, P.
- organization
- publishing date
- 2011
- 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
- additional info
- key=vasc+10 month=November
- 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
- 2016-04-04 09:04:22
- date last changed
- 2023-11-15 11:18:30
@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}},
doi = {{10.1109/TAC.2011.2123290}},
volume = {{56}},
year = {{2011}},
}