Title :
Uniform Asymptotic Controllability to a Set implies Semiconcave Control-Lyapunov Function
Author :
Mu Xiaowu ; Tang Fengjun
Author_Institution :
Zhengzhou Univ., Zhengzhou
Abstract :
We show that uniform global asymptotic controllability to a closed set for a locally Lipschitz nonlinear control system implies the existence of a semiconcave control-Lyapunov function.
Keywords :
Lyapunov methods; controllability; nonlinear control systems; closed set; locally Lipschitz nonlinear control system; semiconcave control-Lyapunov function; uniform global asymptotic controllability; Asymptotic stability; Control systems; Controllability; Differential equations; Lyapunov method; Mathematics; Nonlinear control systems; State-space methods;
Conference_Titel :
Innovative Computing, Information and Control, 2007. ICICIC '07. Second International Conference on
Conference_Location :
Kumamoto
Print_ISBN :
0-7695-2882-1
DOI :
10.1109/ICICIC.2007.608