This paper shows that, for time varying systems, global asymptotic controllability to a given closed subset of the state space is equivalent to the existence of a continuous control-lyapunov function with respect to the set.
Continuous Control-Lyapunov Functions for asymptotically controllable time-varying systems
ALBERTINI, FRANCESCA;
1999
Abstract
This paper shows that, for time varying systems, global asymptotic controllability to a given closed subset of the state space is equivalent to the existence of a continuous control-lyapunov function with respect to the set.
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