DocumentCode
404495
Title
Duality between cost and density in optimal control
Author
Rantzer, Anders ; Hedlund, Sven
Author_Institution
Dept. of Autom. Control, Lund Univ., Sweden
Volume
2
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
1218
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
control system synthesis; cost optimal control; duality (mathematics); nonlinear systems; stability; Hahn-Banach theorem; almost global stability theory; control synthesis; cost functions; density functions; duality; nonlinear system; optimal control; Automatic control; Control system synthesis; Cost function; Density functional theory; Integral equations; Nonlinear systems; Optimal control; Stability; Transportation; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1272774
Filename
1272774
Link To Document