On Homogeneous Density Functions
Prajna, Stephen and Rantzer, Anders LU
(2003)
- Abstract
- We consider homogeneous density functions for proving almost globalattractivity of the zero equilibrium in a homogeneous system. It is shownthat the existence of such a function is guaranteed whenthe equilibrium is asymptotically stable, or in the more general case, whenthere exists a nonhomogeneous density function for the same systemsatisfying some reasonable conditions. Results related to robustness under nonhomogenizing perturbationsare also presented.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/536685
- author
- Prajna, Stephen
and Rantzer, Anders
LU
- organization
- publishing date
- 2003
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Directions in Mathematical Systems Theory and Optimization ( Lecture Notes in Control and Information Sciences ; 286)
- publisher
- Springer
- ISSN
- 0170-8643
- language
- English
- LU publication?
- yes
- id
- 33ed5bb8-d00e-431a-9678-2649efcfdb70 (old id 536685)
- alternative location
- http://www.springerlink.com/index/CWYY53A6VXV7WETY.pdf#search=%22%22On%20Homogeneous%20Density%20Functions%22%22
- date added to LUP
- 2016-04-01 16:15:40
- date last changed
- 2018-11-21 20:40:01
@inbook{33ed5bb8-d00e-431a-9678-2649efcfdb70,
abstract = {{We consider homogeneous density functions for proving almost globalattractivity of the zero equilibrium in a homogeneous system. It is shownthat the existence of such a function is guaranteed whenthe equilibrium is asymptotically stable, or in the more general case, whenthere exists a nonhomogeneous density function for the same systemsatisfying some reasonable conditions. Results related to robustness under nonhomogenizing perturbationsare also presented.}},
author = {{Prajna, Stephen and Rantzer, Anders}},
booktitle = {{Directions in Mathematical Systems Theory and Optimization ( Lecture Notes in Control and Information Sciences ; 286)}},
issn = {{0170-8643}},
language = {{eng}},
publisher = {{Springer}},
title = {{On Homogeneous Density Functions}},
url = {{http://www.springerlink.com/index/CWYY53A6VXV7WETY.pdf#search=%22%22On%20Homogeneous%20Density%20Functions%22%22}},
year = {{2003}},
}