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Density and Cost in Non-linear Control

Rantzer, Anders LU and Hedlund, Sven LU (2003) In European Journal of Control 9(2--3). p.285-295
Abstract
The duality between cost and flow is well known and carefully studiedin several scientific fields, including economics and fluid mechanics.The purpose of this paper is to show how this duality relates to thebasic concepts of nonlinear control theory for ordinary differentialequations. A duality theorem for optimal control is derived using theHahn-Banach theorem. This puts focus on convexity aspects in controlsynthesis and the recent theory of almost global stability. As aclosely related result, it is shown that existence of a densityfunction is both necessary and sufficient for almost global stabilityin a nonlinear system.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
European Journal of Control
volume
9
issue
2--3
pages
285 - 295
publisher
Lavoisier
external identifiers
  • wos:000185242900011
  • scopus:33750413647
ISSN
1435-5671
language
English
LU publication?
yes
id
d16f4e3e-c384-4ed5-afe7-d9d9c2e9b075 (old id 161701)
date added to LUP
2007-07-10 09:02:09
date last changed
2018-05-29 10:04:35
@article{d16f4e3e-c384-4ed5-afe7-d9d9c2e9b075,
  abstract     = {The duality between cost and flow is well known and carefully studiedin several scientific fields, including economics and fluid mechanics.The purpose of this paper is to show how this duality relates to thebasic concepts of nonlinear control theory for ordinary differentialequations. A duality theorem for optimal control is derived using theHahn-Banach theorem. This puts focus on convexity aspects in controlsynthesis and the recent theory of almost global stability. As aclosely related result, it is shown that existence of a densityfunction is both necessary and sufficient for almost global stabilityin a nonlinear system.},
  author       = {Rantzer, Anders and Hedlund, Sven},
  issn         = {1435-5671},
  language     = {eng},
  number       = {2--3},
  pages        = {285--295},
  publisher    = {Lavoisier},
  series       = {European Journal of Control},
  title        = {Density and Cost in Non-linear Control},
  volume       = {9},
  year         = {2003},
}