Title :
An converse theorem for density functions
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Abstract :
It is proved that existence of a density function is both necessary and sufficient for almost global stability in a nonlinear system.
Keywords :
nonlinear control systems; stability; almost global stability; converse theorem; density functions; nonlinear system; Control system synthesis; Convergence; Density functional theory; Lyapunov method; Nonlinear systems; Stability;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184801