On homogeneous density functions
Prajna, S and Rantzer, Anders LU
(2003)
In Lecture Notes in Control and Information Sciences
286.
p.261-274
- Abstract
- We consider homogeneous density functions for proving almost global attractivity of the zero equilibrium in a homogeneous system. It is shown that the existence of such a function is guaranteed when the equilibrium is asymptotically stable, or in the more general case, when there exists a nonhomogeneous density function for the same system satisfying some reasonable conditions. Results related to robustness under nonhomogenizing perturbations are also presented.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/317010
- author
- Prajna, S
and Rantzer, Anders
LU
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Lecture Notes in Control and Information Sciences
- volume
- 286
- pages
- 261 - 274
- publisher
- Springer
- external identifiers
-
- wos:000181444900020
- ISSN
- 0170-8643
- language
- English
- LU publication?
- yes
- id
- 830905ed-ea01-43df-b362-cff4a1a91ac3 (old id 317010)
- alternative location
- http://springerlink.com/content/e2tuaewlx03v/
- date added to LUP
- 2016-04-01 17:11:42
- date last changed
- 2018-11-21 20:47:22
@article{830905ed-ea01-43df-b362-cff4a1a91ac3,
abstract = {{We consider homogeneous density functions for proving almost global attractivity of the zero equilibrium in a homogeneous system. It is shown that the existence of such a function is guaranteed when the equilibrium is asymptotically stable, or in the more general case, when there exists a nonhomogeneous density function for the same system satisfying some reasonable conditions. Results related to robustness under nonhomogenizing perturbations are also presented.}},
author = {{Prajna, S and Rantzer, Anders}},
issn = {{0170-8643}},
language = {{eng}},
pages = {{261--274}},
publisher = {{Springer}},
series = {{Lecture Notes in Control and Information Sciences}},
title = {{On homogeneous density functions}},
url = {{http://springerlink.com/content/e2tuaewlx03v/}},
volume = {{286}},
year = {{2003}},
}