Title :
Applications of a Lyapunov function with a homogeneous derivative
Author :
Dong, Y. ; Cheng, D. ; Qin, H.
Author_Institution :
Xinjiang Univ., Urumqi, China
fDate :
5/23/2003 12:00:00 AM
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;
Journal_Title :
Control Theory and Applications, IEE Proceedings -
DOI :
10.1049/ip-cta:20030399
