Title :
On necessary conditions for almost global stability
Author_Institution :
Fac. de Ingenierfa-UdelaR, Montevideo, Uruguay
fDate :
4/1/2003 12:00:00 AM
Abstract :
In the year 2000, the sufficiency of the existence of density functions for the almost global stability of a system was proved. In this note, we prove the necessity of the existence of density functions for the particular case of global asymptotical stability.
Keywords :
asymptotic stability; nonlinear control systems; stability criteria; almost global stability conditions; density functions; global asymptotical stability; nonlinear control systems; Asymptotic stability; Control system synthesis; Control theory; Density functional theory; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Sufficient conditions; Time measurement;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.809786
