Title :
Exact both construction of Lyapunov function and asymptotic stability domain determination
Author_Institution :
Dept. of Electr. Eng., Natal Univ., Durban, South Africa
Abstract :
The problem of an accurate one-shot construction of a Lyapunov function and the problem of an exact one-shot determination of the asymptotic stability domain are solved for a nonlinear dynamical system with continuous motions. The solutions are based on O-uniquely bounded sets, which are explained. A choice of an O-uniquely bounded set is arbitrary in a given class to generate the Lyapunov function.
Keywords :
"Lyapunov method","Asymptotic stability","Nonlinear systems","Sufficient conditions","Motion control","Nonlinear control systems","Control systems","Nonlinear dynamical systems","Stability analysis","Motion analysis"
Conference_Titel :
Systems, Man and Cybernetics, 1993. ´Systems Engineering in the Service of Humans´, Conference Proceedings., International Conference on
Print_ISBN :
0-7803-0911-1
DOI :
10.1109/ICSMC.1993.384766
