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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.
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author
organization
publishing date
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
2007-09-20 11:56:44
date last changed
2016-08-16 15:11:08
@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},
  volume       = {286},
  year         = {2003},
}