Title :
Uniform asymptotic controllability to a set implies locally Lipschitz control-Lyapunov function
Author :
Kellett, Christopher M. ; Teel, Andrew R.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
Abstract :
We show that uniform global asymptotic controllability to a closed (not necessarily compact) set for a locally Lipschitz nonlinear control system implies the existence of a locally Lipschitz control-Lyapunov function (CLF), and from this CLF we construct a feedback that is robust to measurement noise
Keywords :
Lyapunov methods; controllability; feedback; nonlinear control systems; locally Lipschitz control-Lyapunov function; locally Lipschitz nonlinear control system; uniform global asymptotic controllability; Control systems; Controllability; Electric variables measurement; Lyapunov method; Noise measurement; Noise robustness; Nonlinear control systems; Open loop systems; Robust control; State feedback;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912339
