Duality between cost and density in optimal control
(2003) 2. p.1218-1221- Abstract
- A theorem on duality between cost functions and density functions in optimal control is derived using the Hahn-Banach theorem. The result puts focus on convexity aspects in control synthesis and the theory of almost global stability. In particular, it gives a new proof that existence of a density function is both necessary and sufficient for almost global stability in a nonlinear system.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/536807
- author
- Rantzer, Anders LU and Hedlund, Sven LU
- organization
- publishing date
- 2003
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- duality, optimal control, Density function, stability
- host publication
- Proceedings. 42nd IEEE Conference on Decision and Control, 2003
- volume
- 2
- pages
- 1218 - 1221
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000189434100210
- scopus:1542329037
- ISSN
- 0191-2216
- ISBN
- 0-7803-7924-1
- DOI
- 10.1109/CDC.2003.1272774
- language
- English
- LU publication?
- yes
- id
- 1327ae03-5ead-4910-aa6b-591571b2a379 (old id 536807)
- date added to LUP
- 2016-04-01 17:07:11
- date last changed
- 2023-11-14 23:46:05
@inproceedings{1327ae03-5ead-4910-aa6b-591571b2a379, abstract = {{A theorem on duality between cost functions and density functions in optimal control is derived using the Hahn-Banach theorem. The result puts focus on convexity aspects in control synthesis and the theory of almost global stability. In particular, it gives a new proof that existence of a density function is both necessary and sufficient for almost global stability in a nonlinear system.}}, author = {{Rantzer, Anders and Hedlund, Sven}}, booktitle = {{Proceedings. 42nd IEEE Conference on Decision and Control, 2003}}, isbn = {{0-7803-7924-1}}, issn = {{0191-2216}}, keywords = {{duality; optimal control; Density function; stability}}, language = {{eng}}, pages = {{1218--1221}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Duality between cost and density in optimal control}}, url = {{https://lup.lub.lu.se/search/files/4880328/625647.pdf}}, doi = {{10.1109/CDC.2003.1272774}}, volume = {{2}}, year = {{2003}}, }