Title :
Constructive Lyapunov functions and stabilizing feedback for nonlinear systems
Author :
Cai, Xiushan ; Su, Shaoqing ; Dai, Pingfan ; Lin, Lihua ; Lin, Rong
Author_Institution :
Dept. of Math. & Comput. Sci., Sanming Coll., Sanming, China
Abstract :
This paper deals with the stabilization for a broad class of nonlinear systems. First, we construct smooth Lyapunov functions from a known weak control Lyapunov function of the system. It is proved that a weak control Lyapunov function satisfying a less conservative condition can be used to design a globally stabilizing control law. The simulation shows the effectiveness of the method.
Keywords :
Lyapunov methods; feedback; nonlinear control systems; stability; constructive Lyapunov functions; globally stabilizing control law; nonlinear systems stabilization; smooth Lyapunov functions; stabilizing feedback; weak control Lyapunov function; Computer science; Control systems; Educational institutions; Feedback; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear systems; Lyapunov functions; nonlinear systems; stabilization;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5195076
