DocumentCode
1180308
Title
On necessary conditions for almost global stability
Author
Monzón, Pablo
Author_Institution
Fac. de Ingenierfa-UdelaR, Montevideo, Uruguay
Volume
48
Issue
4
fYear
2003
fDate
4/1/2003 12:00:00 AM
Firstpage
631
Lastpage
634
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;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2003.809786
Filename
1193744
Link To Document