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On Homogeneous Density Functions

Prajna, Stephen and Rantzer, Anders LU (2003) In Directions in Mathematical Systems Theory and Optimization ( Lecture Notes in Control and Information Sciences ; 286)
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.
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Chapter in Book/Report/Conference proceeding
publication status
published
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in
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
2007-09-26 12:23:51
date last changed
2016-08-16 15:11:07
@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},
  issn         = {0170-8643},
  language     = {eng},
  publisher    = {Springer},
  series       = {Directions in Mathematical Systems Theory and Optimization (	Lecture Notes in Control and Information Sciences ; 286)},
  title        = {On Homogeneous Density Functions},
  year         = {2003},
}