@inproceedings{1327ae035ead4910aa6b591571b2a379,
title = "Duality between cost and density in optimal control",
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.",
keywords = "duality, optimal control, Density function, stability",
author = "Anders Rantzer and Sven Hedlund",
year = "2003",
doi = "10.1109/CDC.2003.1272774",
language = "English",
isbn = "0-7803-7924-1",
volume = "2",
publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",
pages = "1218--1221",
booktitle = "Proceedings. 42nd IEEE Conference on Decision and Control, 2003",
address = "United States",
}