DocumentCode
1216734
Title
Applications of a Lyapunov function with a homogeneous derivative
Author
Dong, Y. ; Cheng, D. ; Qin, H.
Author_Institution
Xinjiang Univ., Urumqi, China
Volume
150
Issue
3
fYear
2003
fDate
5/23/2003 12:00:00 AM
Firstpage
255
Lastpage
260
Abstract
The application of a Lyapunov function with a homogeneous derivative to investigate the stability of dynamic systems is presented. The problem of the region of attraction for nonlinear autonomous stable systems is investigated by this approach, and an estimation of the region of attraction is given. The stable equilibrium point concerned may be non-hyperbolic. The method is also extended to time-varying nonlinear systems and some sufficient conditions for these to be asymptotically stable are obtained.
Keywords
Lyapunov methods; asymptotic stability; nonlinear control systems; nonlinear dynamical systems; stability criteria; time-varying systems; Lyapunov function; asymptotic stability; dynamic system stability; homogeneous derivative; nonlinear autonomous stable systems; nonlinear dynamic systems; region of attraction; stable equilibrium point; sufficient conditions; time-varying nonlinear systems;
fLanguage
English
Journal_Title
Control Theory and Applications, IEE Proceedings -
Publisher
iet
ISSN
1350-2379
Type
jour
DOI
10.1049/ip-cta:20030399
Filename
1203194
Link To Document